2499:
2003:
1994:
1594:
1588:
3286:). Alternatively, one can use digit-conversion tables. The ones provided below can be used to convert any duodecimal number between 0;1 and BB,BBB;B to decimal, or any decimal number between 0.1 and 99,999.9 to duodecimal. To use them, the given number must first be decomposed into a sum of numbers with only one significant digit each. For example:
2509:
Both the
Dozenal Society of America and the Dozenal Society of Great Britain promote widespread adoption of the duodecimal system. They use the word "dozenal" instead of "duodecimal" to avoid the more overtly decimal terminology. However, the etymology of "dozenal" itself is also an expression based
2295:
Multiple digits in this series are pronounced differently: 12 is "do two"; 30 is "three do"; 100 is "gro"; BA9 is "el gro dek do nine"; B86 is "el gro eight do six"; 8BB,15A is "eight gro el do el, one gro five do dek"; ABA is "dek gro el do dek"; BBB is "el gro el do el"; 0.06 is "six egro"; and so
991:
based on the knuckle bones of the four larger fingers. Using the thumb as a pointer, it is possible to count to 12 by touching each finger bone, starting with the farthest bone on the fifth finger, and counting on. In this system, one hand counts repeatedly to 12, while the other displays the number
2614:
The
Dozenal Society of America argues that if a base is too small, significantly longer expansions are needed for numbers; if a base is too large, one must memorise a large multiplication table to perform arithmetic. Thus, it presumes that "a number base will need to be between about 7 or 8 through
3294:
This decomposition works the same no matter what base the number is expressed in. Just isolate each non-zero digit, padding them with as many zeros as necessary to preserve their respective place values. If the digits in the given number include zeroes (for example, 7,080.9), these are left out in
2551:
But the final quantitative advantage, in my own experience, is this: in varied and extensive calculations of an ordinary and not unduly complicated kind, carried out over many years, I come to the conclusion that the efficiency of the decimal system might be rated at about 65 or less, if we assign
2535:
The duodecimal tables are easy to master, easier than the decimal ones; and in elementary teaching they would be so much more interesting, since young children would find more fascinating things to do with twelve rods or blocks than with ten. Anyone having these tables at command will do these
5974:, which introduces inexactitude, is necessary to handle them in calculations), and overall one is more likely to have to deal with infinite recurring digits when fractions are expressed in decimal than in duodecimal, because one out of every three consecutive numbers contains the prime factor
2646:. It is the smallest number to have six factors, the largest number to have at least half of the numbers below it as divisors, and is only slightly larger than 10. (The numbers 18 and 20 also have six factors but are much larger.) Ten, in contrast, only has four factors, which are
5982:. All other prime factors, except 2, are not shared by either ten or twelve, so they do not influence the relative likeliness of encountering recurring digits (any irreducible fraction that contains any of these other factors in its denominator will recur in either base).
2083:) to duodecimal numbers "54;6 = 64.5", prefixing duodecimal numbers by an asterisk "*54 = 64", or some combination of these. The Dozenal Society of Great Britain uses an asterisk prefix for duodecimal whole numbers, and a Humphrey point for other duodecimal numbers.
7633:
0, 0, 4, 6, 1, 2, 16, 6, 11, 4, 30, 9, 40, 42, 23, 52, 29, 15, 66, 35, 36, 26, 41, 8, 16, 100, 102, 53, 54, 112, 126, 65, 136, 138, 148, 150, 3, 162, 83, 172, 89, 90, 95, 24, 196, 66, 14, 222, 113, 114, 8, 119, 120, 125, 256, 131, 268, 54, 138, 280, ... (sequence
7610:
0, 0, 0, 0, 4, 0, 6, 0, 0, 4, 1, 0, 2, 6, 4, 0, 16, 0, 6, 4, 6, 1, 11, 0, 20, 2, 0, 6, 4, 4, 30, 0, 1, 16, 12, 0, 9, 6, 2, 4, 40, 6, 42, 1, 4, 11, 23, 0, 42, 20, 16, 2, 52, 0, 4, 6, 6, 4, 29, 4, 15, 30, 6, 0, 4, 1, 66, 16, 11, 12, 35, 0, ... (sequence
1343:
plus 0 units. For duodecimal, the standard numeral symbols for 0–9 are typically preserved for zero through nine, but there are numerous proposals for how to write the numerals representing "ten" and "eleven". More radical proposals do not use any
7656:
11, 13, 157, 5, 22621, 7, 659, 89, 37, 19141, 23, 20593, 477517, 211, 61, 17, 2693651, 1657, 29043636306420266077, 85403261, 8177824843189, 57154490053, 47, 193, 303551, 79, 306829, 673, 59, 31, 373, 153953, 886381, 2551, 71, 73, ... (sequence
3295:
the digit decomposition (7,080.9 = 7,000 + 80 + 0.9). Then, the digit conversion tables can be used to obtain the equivalent value in the target base for each digit. If the given number is in duodecimal and the target base is decimal, we get:
784:, which make a duodecimal count from zero to twelve read 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, 10. The Dozenal Societies of America and Great Britain (organisations promoting the use of duodecimal) use turned digits in their published material:
946: (0.9) all have a short terminating representation in duodecimal. There is also higher regularity observable in the duodecimal multiplication table. As a result, duodecimal has been described as the optimal number system.
5939:
is encountered less often when duodecimal notation is used. Advocates of duodecimal systems argue that this is particularly true of financial calculations, in which the twelve months of the year often enter into calculations.
3315:
Duodecimal ---> Decimal 10,000 = 20,736 2,000 = 3,456 300 = 432 40 = 48 5 = 5 + 0;6 = + 0.5 ----------------------------- 12,345;6 = 24,677.5
2035:
There are also varying proposals of how to distinguish a duodecimal number from a decimal one. The most common method used in mainstream mathematics sources comparing various number bases uses a subscript "10" or "12", e.g.
1065:
used a hybrid decimal–duodecimal counting system, with its words for "one hundred and eighty" meaning 200 and "two hundred" meaning 240. In the
British Isles, this style of counting survived well into the Middle Ages as the
1504:) are convenient because they are widely accessible, and for instance can be typed on typewriters. However, when mixed with ordinary prose, they might be confused for letters. As an alternative, Greek letters such as
2487:. Emerson noted that, due to the prevalence of factors of twelve in many traditional units of weight and measure, many of the computational advantages claimed for the metric system could be realized
2577:
portrayed an alien being with twelve fingers and twelve toes using duodecimal arithmetic, using "dek" and "el" as names for ten and eleven, and
Andrews' script-X and script-E for the digit symbols.
1663:
After the Pitman digits were added to
Unicode, the DSA took a vote and then began publishing PDF content using the Pitman digits instead, but continues to use the letters X and E on its webpage.
1272:
1247:
1222:
7772:
2536:
calculations more than one-and-a-half times as fast in the duodecimal scale as in the decimal. This is my experience; I am certain that even more so it would be the experience of others.
5724:
5492:
5666:
2662:, of which 2 and 5 are prime. Six shares the prime factors 2 and 3 with twelve; however, like ten, six only has four factors (1, 2, 3, and 6) instead of six. Its corresponding base,
5850:
5593:
5273:
3312:
Because the summands are already converted to decimal, the usual decimal arithmetic is used to perform the addition and recompose the number, arriving at the conversion result:
5970:. Nonetheless, having a shorter or longer period does not help the main inconvenience that one does not get a finite representation for such fractions in the given base (so
8022:
von
Mengden, Ferdinand (2006). "The peculiarities of the Old English numeral system". In Nikolaus Ritt; Herbert Schendl; Christiane Dalton-Puffer; Dieter Kastovsky (eds.).
5104:
5774:
5623:
2702:
is the smallest number that has three different prime factors (2, 3, and 5, the first three primes), and it has eight factors in total (1, 2, 3, 5, 6, 10, 15, and 30).
5807:
5520:
5921:
5880:
5435:
5395:
2091:
The
Dozenal Society of America suggested the pronunciation of ten and eleven as "dek" and "el". For the names of powers of twelve, there are two prominent systems.
5494:. The number of divisors is found by adding one to each exponent of each prime and multiplying the resulting quantities together, so the number of factors of
3351:
Decimal --> Duodecimal 10,000 = 5,954 2,000 = 1,1A8 300 = 210 40 = 34 5 = 5 + 0.6 = + 0;
7664:
7641:
7618:
721:
5989:
appears twice in the factorization of twelve, whereas only once in the factorization of ten; which means that most fractions whose denominators are
2718:, adds the four convenient factors 4, 12, 20, and 60 to 30 but no new prime factors. The smallest number that has four different prime factors is
441:
769:
system, this number is instead written as "12" meaning 1 ten and 2 units, and the string "10" means ten. In duodecimal, "100" means twelve
1774:
8680:
8398:
2304:
This system uses "-qua" ending for the positive powers of 12 and "-cia" ending for the negative powers of 12, and an extension of the IUPAC
2729:
In all base systems, there are similarities to the representation of multiples of numbers that are one less than or one more than the base.
1106:
7948:
2292:
As numbers get larger (or fractions smaller), the last two morphemes are successively replaced with tri-mo, quad-mo, penta-mo, and so on.
1626:
in 1857. In March 2013, a proposal was submitted to include the digit forms for ten and eleven propagated by the
Dozenal Societies in the
8861:
1262:
1237:
274:
7992:
7930:
7979:
2733:
In the following multiplication table, numerals are written in duodecimal. For example, "10" means twelve, and "12" means fourteen.
7978:
Mazaudon, Martine (2002). "Les principes de construction du nombre dans les langues tibéto-birmanes". In François, Jacques (ed.).
3348:
To sum these partial products and recompose the number, the addition must be done with duodecimal rather than decimal arithmetic:
949:
In these respects, duodecimal is considered superior to decimal, which has only 2 and 5 as factors, and other proposed bases like
800:
8156:
5409:(although this includes the divisor 1, which does not produce fractions when used as the denominator). The number of factors of
65:
8429:
8260:
8173:
1512:
could be used instead. Frank
Emerson Andrews, an early American advocate for duodecimal, suggested and used in his 1935 book
1183:
established a monetary system that also had a mixed base of twelve and twenty, the remnants of which persist in many places.
508:
3330:
If the given number is in decimal and the target base is duodecimal, the method is same. Using the digit conversion tables:
8361:
8221:
8552:
714:
289:
8531:
8454:
8195:
8093:
634:
20:
8733:
8648:
8502:
965:
numbers terminate), but at the cost of unwieldy multiplication tables and a much larger number of symbols to memorize.
644:
461:
5625:
and other fractions with a denominator of 8 cannot require more than three fractional decimal digits to terminate.
1770:
521:
7819:
7736:
5947:
occur in duodecimal notation, they are less likely to have a very short period than in decimal notation, because
780:
Various symbols have been used to stand for ten and eleven in duodecimal notation; this page uses A and B, as in
617:
386:
1476:
Several authors have proposed using letters of the alphabet for the transdecimal symbols. Latin letters such as
5673:
3282:
To convert numbers between bases, one can use the general conversion algorithm (see the relevant section under
2015:
1600:
707:
34:
5444:
992:
of iterations, until five dozens, i.e. the 60, are full. This system is still in use in many regions of Asia.
8026:. Studies in English Medieval Language and Literature. Vol. 16. Frankfurt: Peter Lang. pp. 125–145.
7872:
5628:
2305:
1283:
697:
481:
78:
5812:
5932:
5526:
5240:
5106:
in the decimal system, fractions whose denominators are made up solely of multiples of 2 and 5 terminate:
4530:
2585:
1576:
or octothorpe). The symbols were chosen because they were available on some typewriters; they are also on
816:
381:
297:
8583:
2726:. However, these numbers are quite large to use as bases, and are far beyond the DSA's stated threshold.
2052:". In 2015 the Dozenal Society of America adopted the more compact single-letter abbreviation "z" for "do
7689:
1941:
1577:
1004:
804:
499:
8866:
8041:. Topics in English Linguistics. Vol. 67. Berlin; New York: De Gruyter Mouton. pp. 159–161.
5060:
2044:". To avoid ambiguity about the meaning of the subscript 10, the subscripts might be spelled out, "54
594:
455:
448:
329:
1580:. This notation was used in publications of the Dozenal Society of America (DSA) from 1974 to 2008.
5931:
The
Dozenal Society of America argues that factors of 3 are more commonly encountered in real-life
2477:
2473:
1929:
1569:
1160:
848:
747:
676:
541:
492:
304:
236:
91:
52:
8697:
5077:
1351:
Pronunciation of duodecimal numbers also has no standard, but various systems have been proposed.
8801:
5936:
5729:
1304:
1299:
1026:
589:
342:
179:
174:
121:
5601:
5067:
notation in any base, the fraction can be expressed exactly (terminates) if and only if all the
7956:
7899:
Pittman, Richard (1990). "Origin of Mesopotamian duodecimal and sexagesimal counting systems".
5993:
will have a shorter, more convenient terminating representation in duodecimal than in decimal:
2483:
The case for the duodecimal system was put forth at length in Frank Emerson Andrews' 1935 book
2480:
in 1906, noting it being the smallest number with four factors and its prevalence in commerce.
8676:
8394:
8313:
7988:
7926:
7824:
7681:
7677:
5056:
4719:
2685:
2573:
1138:
1012:
671:
661:
649:
629:
584:
579:
515:
347:
319:
226:
159:
149:
136:
101:
96:
8715:
5809:
in decimal), so eighths cannot need more than two duodecimal fractional places to terminate.
2502:
A duodecimal clockface as in the logo of the Dozenal Society of America, here used to denote
1630:. Of these, the British/Pitman forms were accepted for encoding as characters at code points
1171:
currency system (12 pence = 1 shilling, 20 shillings or 240 pence to the
8155:
7709:
7685:
5964:
5779:
5498:
5358:
The number of denominators that give terminating fractions within a given number of digits,
2528:
1094:
1090:
1038:
1016:
770:
574:
468:
221:
209:
154:
144:
111:
86:
5899:
5858:
5413:
5373:
8386:
3283:
2609:
In this section, numerals are in decimal. For example, "10" means 9+1, and "12" means 9+3.
1345:
988:
812:
807:(2, 3, 4, 6), and the smallest to include as factors all four numbers (1 to 4) within the
686:
656:
599:
569:
554:
314:
282:
254:
231:
214:
73:
7680:
in any positional number system (including decimal and duodecimal) neither terminate nor
666:
8617:
7998:
1089:
had twelve hours in a day (although at some point, this was changed to 24). Traditional
1793:
1172:
1164:
1142:
1042:
1000:
962:
774:
750:
681:
624:
604:
559:
432:
164:
131:
116:
42:
2498:
8855:
7918:
7801:
5854:
Because both ten and twelve have two unique prime factors, the number of divisors of
4534:
2080:
1889:
1740:
1538:
1534:
1530:
1134:
1126:
1008:
984:
820:
487:
376:
309:
249:
184:
126:
106:
8806:
2465:
After hex-, further prefixes continue sept-, oct-, enn-, dec-, lev-, unnil-, unun-.
8764:
8633:
8249:
7937:
Translated from the French by David Bellos, E.F. Harding, Sophie Wood and Ian Monk.
7729:
5990:
5978:
in its factorization, whereas only one out of every five contains the prime factor
5952:
5068:
2719:
2693:
2643:
1979:
1623:
1446:
1430:
1122:
1118:
1078:
1074:
1067:
639:
564:
7923:
The Universal History of Numbers: From prehistory to the invention of the computer
8670:
2316:
for the two extra digits needed for duodecimal) to express which power is meant.
8666:
8158:
New Numbers: How Acceptance of a Duodecimal (12) Base Would Simplify Mathematics
7850:
5960:
5956:
5948:
5064:
2703:
2689:
2681:
2673:
2659:
2639:
2503:
1983:
1934:
1722:
1691:
1657:
1622:. This notation, derived from Arabic digits by 180° rotation, was introduced by
1573:
1485:
1277:
1257:
1232:
1227:
1180:
1176:
1156:
1130:
1102:
1086:
958:
954:
781:
761:. In duodecimal, the number twelve is denoted "10", meaning 1 twelve and 0
754:
609:
474:
426:
416:
8475:
8337:
2510:
on decimal terminology since "dozen" is a direct derivation of the French word
5986:
5979:
5975:
5967:
2655:
2651:
2647:
2635:
2631:
2627:
2623:
2619:
1098:
808:
169:
8286:
8024:
Medieval English and its Heritage: Structure Meaning and Mechanisms of Change
5935:
problems than factors of 5. Thus, in practical applications, the nuisance of
8834:
8652:
7844:
2723:
2711:
2076:
1289:
1168:
1062:
421:
24:
2485:
New Numbers: How Acceptance of a Duodecimal Base Would Simplify Mathematics
2002:
1993:
1593:
1587:
8821:
7949:"Decimal vs. Duodecimal: An interaction between two systems of numeration"
8115:
7805:
5971:
1110:
995:
Languages using duodecimal number systems are uncommon. Languages in the
987:
speculatively traced the origin of the duodecimal system to a system of
7877:
1835:
1804:
1627:
1388:
1314:
1309:
996:
976:
766:
406:
391:
2516:
961:(base sixty) does even better in this respect (the reciprocals of all
8135:
The turned digits 2 and 3 employed in the TIPA package originated in
2699:
2663:
1141:
of 12). The Romans used a fraction system based on 12, including the
1113:, 24 (12×2) hours in a day; many other items are counted by the
1082:
396:
8814:
8039:
Cardinal Numerals: Old English from a Cross-Linguistic Perspective
2715:
2707:
2677:
2497:
1982:(1857); used by the DSGB; used by the DSA since 2015; included in
1452:
1147:
1114:
1020:
950:
758:
401:
363:
324:
5202:
can be expressed exactly as 0.125, 0.05, and 0.002 respectively.
8126:
7684:. The following table gives the first digits for some important
1252:
1061:), suggesting a decimal rather than duodecimal origin. However,
8809:, the DSA website's page of external links to third party tools
8553:"Systematic Dozenal Nomenclature and other nomenclature system"
2071:
Other proposed methods include italicizing duodecimal numbers "
1831:
5776:
divisors. The sample denominator of 8 is a factor of a gross
1808:
1797:
1606:
The Dozenal Society of Great Britain (DSGB) proposed symbols
1335:
natural numbers is given a distinct numeral symbol, and then
7796:
7659:
7636:
7613:
8796:
8261:"Sir Isaac Pitman on the Dozen System: A Reckoning Reform"
2669:
762:
8137:
The Principles of the International Phonetic Association
5071:
of its denominator are also prime factors of the base.
1101:. There are 12 inches in an imperial foot, 12
8362:"What should the DSA do about transdecimal characters?"
5598:
For example, the number 8 is a factor of 10 (1000), so
2514:, which is a derivative of the French word for twelve,
8287:"Proposal to encode Duodecimal Digit Forms in the UCS"
8127:"tipa – Fonts and macros for IPA phonetics characters"
7741:
5815:
5782:
5631:
5604:
3355:------------------------------- 12,345.6 = 7,189;
8087:
8085:
8083:
7739:
5902:
5861:
5732:
5676:
5529:
5501:
5447:
5416:
5376:
5243:
5080:
8081:
8079:
8077:
8075:
8073:
8071:
8069:
8067:
8065:
8063:
8393:(New York: Cambridge University Press, 2008): 276.
8149:
8147:
8145:
7873:"Why We Should Switch To A Base-12 Counting System"
5234:, however, recur (0.333... and 0.142857142857...).
2571:In "Little Twelvetoes", American television series
2021:
Used by the DSA 1945–1974 and 2008–2015
1463:
1459:
1436:
1386:
1376:
1361:
7766:
5915:
5874:
5844:
5801:
5768:
5718:
5660:
5617:
5587:
5514:
5486:
5429:
5389:
5267:
5098:
979:. For example, "10" means 9+1, and "12" means 9+3.
8577:
8575:
8573:
8430:"Annual Meeting of 1973 and Meeting of the Board"
8314:"The Unicode Standard, Version 8.0: Number Forms"
8174:"Annual Meeting of 1973 and Meeting of the Board"
2495:by the adoption of the duodecimal number system.
2491:by the adoption of ten-based weights and measure
2476:used 12 as the base for his constructed language
2171:
2190:
2152:
1093:, clocks, and compasses are based on the twelve
8763:De Vlieger, Michael Thomas (30 November 2011).
2549:
2533:
803:, is the smallest number with four non-trivial
3290:12,345.6 = 10,000 + 2,000 + 300 + 40 + 5 + 0.6
1081:are duodecimal. There are twelve signs of the
8525:
8523:
8496:
8494:
8424:
8422:
8244:
8242:
2676:only have 2 as a prime factor. Therefore, in
851:representation in duodecimal. In particular,
715:
8:
8056:. Oxford: Clarendon Press. pp. 292–293.
1348:under the principle of "separate identity."
8308:
8306:
7767:{\displaystyle {\tfrac {1+{\sqrt {5}}}{2}}}
5963:(thirteen), whereas ten is adjacent to the
1331:(twelve for duodecimal), each of the first
8448:
8446:
8252:(24 November 1857). "A Reckoning Reform".
5323:recur because they include 5 as a factor;
1445:Arabic digits with 180° rotation, by
1029:have special words for 11 and 12, such as
722:
708:
58:
29:
8758:
8756:
8754:
8696:Pendlebury, Tom; Goodman, Donald (2012).
7750:
7740:
7738:
5907:
5901:
5866:
5860:
5833:
5816:
5814:
5787:
5781:
5731:
5719:{\displaystyle 10^{n}=2^{2n}\times 3^{n}}
5710:
5694:
5681:
5675:
5649:
5632:
5630:
5605:
5603:
5579:
5528:
5506:
5500:
5478:
5465:
5452:
5446:
5421:
5415:
5381:
5375:
5242:
5079:
2618:The number 12 has six factors, which are
2615:about 16, possibly including 18 and 20".
2531:was an outspoken advocate of duodecimal:
8716:"Proposal for the Universal Unit System"
8638:. Edinburgh / London: Oliver & Boyd.
7694:
7692:numbers in both decimal and duodecimal.
6037:
5487:{\displaystyle 10^{n}=2^{n}\times 5^{n}}
5438:is given using its prime factorization.
4878:
4002:
3379:
2736:
2318:
2105:
1665:
1185:
8703:. The Dozenal Society of Great Britain.
8391:The Cambridge Introduction to Serialism
8360:The Dozenal Society of America (n.d.).
8216:
8214:
8212:
7863:
5661:{\textstyle {\frac {5}{8}}=0.625_{10}.}
5370:is the number of factors (divisors) of
2666:, is below the DSA's stated threshold.
1327:In a positional numeral system of base
41:
7648:Smallest prime with duodecimal period
5890:grows quadratically with the exponent
5845:{\textstyle {\frac {5}{8}}=0.76_{12}.}
3999:Decimal to duodecimal digit conversion
3376:Duodecimal to decimal digit conversion
1358:
1145:, which became both the English words
1023:are known to use duodecimal numerals.
8649:"SchoolhouseRock - Little Twelvetoes"
8116:"The Comprehensive LATEX Symbol List"
6153:Prime factors of one above the base:
6144:Prime factors of one below the base:
6070:Prime factors of one above the base:
6061:Prime factors of one below the base:
3278:Conversion tables to and from decimal
2300:Systematic Dozenal Nomenclature (SDN)
1854:W from doubling the Roman numeral V;
7:
7987:. Leuven: Peeters. pp. 91–119.
7871:Dvorsky, George (January 18, 2013).
5588:{\displaystyle (n+1)(n+1)=(n+1)^{2}}
5355:recurs, just as it does in decimal.
5268:{\displaystyle 2\times 2\times 3=12}
3336:10,000 + 2,000 + 300 + 40 + 5 + 0.6
3302:10,000 + 2,000 + 300 + 40 + 5 + 0;6
2595:Takashi Suga's Universal Unit System
2541:A. C. Aitken, "Twelves and Tens" in
2527:Mathematician and mental calculator
2075:= 64", adding a "Humphrey point" (a
8698:"TGM: A Coherent Dozenal Metrology"
7625:The duodecimal period length of 1/(
3308:20,736 + 3,456 + 432 + 48 + 5 + 0.5
1085:, twelve months in a year, and the
8607:The Prodigy (Biography of WJS) pg
8139:, University College London, 1949.
7947:Matsushita, Shuji (October 1998).
7602:The duodecimal period length of 1/
5943:However, when recurring fractions
4718:while other rational numbers have
2603:Comparison to other number systems
2581:Duodecimal systems of measurements
14:
8651:. 6 February 2010. Archived from
8285:Pentzlin, Karl (March 30, 2013).
8131:Comprehensive TEX Archive Network
8120:Comprehensive TEX Archive Network
7901:Philippine Journal of Linguistics
5896:(in other words, of the order of
3342:5,954 + 1,1A8 + 210 + 34 + 5 + 0;
2706:was actually used by the ancient
2588:proposed by dozenalists include:
1339:is denoted "10", meaning 1 times
975:In this section, numerals are in
8815:Dozenal Society of Great Britain
8774:. The Dozenal Society of America
8616:A. C. Aitken (January 25, 1962)
8532:"How Do You Pronounce Dozenals?"
8368:. The Dozenal Society of America
4520:Fractions and irrational numbers
2738:Duodecimal multiplication table
2001:
1992:
1592:
1586:
1583:From 2008 to 2015, the DSA used
1105:ounces in a troy pound, 12
801:superior highly composite number
8672:Alex's Adventures in Numberland
8635:The Case Against Decimalisation
8154:Andrews, Frank Emerson (1935).
8037:von Mengden, Ferdinand (2010).
4698:= 0;09 (this is one sixteenth,
2559:The Case Against Decimalisation
1910:for other duodecimal numerals.
8584:"Manual of the Dozenal System"
7800:(pi), the ratio of a circle's
7376:0478AA093598166B74311B28623A55
5763:
5751:
5748:
5733:
5576:
5563:
5557:
5545:
5542:
5530:
1946:The Main Stream of Mathematics
1558:The Main Stream of Mathematics
1541:), along with italic numerals
1:
8714:Suga, Takashi (22 May 2019).
8675:. A&C Black. p. 50.
1696:Allows entry on typewriters.
1556:Edna Kramer in her 1951 book
777:, and "0.1" means a twelfth.
8833:Savard, John J. G. (2018) .
8802:"The DSA Symbology Synopsis"
8589:. Dozenal Society of America
8453:De Vlieger, Michael (2008).
8194:De Vlieger, Michael (2008).
8092:De Vlieger, Michael (2010).
7698:Algebraic irrational number
7278:0344827586206896551724137931
5099:{\displaystyle 2\times 5=10}
4664:= 0;1 (this is one twelfth,
1323:Notations and pronunciations
1011:, and the Nimbia dialect of
21:Dewey Decimal Classification
7629:th prime) are (in decimal)
6129:Prime factors of the base:
6046:Prime factors of the base:
5769:{\displaystyle (2n+1)(n+1)}
5618:{\textstyle {\frac {1}{8}}}
2592:Tom Pendlebury's TGM system
2099:In this system, the prefix
1973:Digits 2 and 3 rotated 180°
1529:(italic capital X from the
1380:⟨ten, eleven⟩
1187:Duodecimally divided units
773:, "1000" means twelve
8883:
8862:Positional numeral systems
8797:Dozenal Society of America
8476:"The Unicode Standard 8.0"
8366:Dozenal Society of America
8338:"The Unicode Standard 8.0"
7733:(phi), the golden ratio =
6246:Positional representation
6243:Positional representation
5275:in the duodecimal system,
4533:for rational numbers with
2722:; the pattern follows the
2714:, among others; its base,
2598:John Volan's Primel system
2103:- is added for fractions.
1809:
1798:
442:Non-standard radices/bases
18:
8503:"Base Annotation Schemes"
8501:Volan, John (July 2015).
8054:Introduction to Old Norse
6123:
6040:
2469:Advocacy and "dozenalism"
2357:
2144:
1944:; used by Edna Kramer in
1668:
1599:, the symbols devised by
1572:or six-pointed asterisk,
1455:, using the TIPA package:
1441:
1428:
1199:
1196:
1191:
796:(a turned 3) for eleven.
790:(a turned 2) for ten and
8820:Lauritzen, Bill (1994).
8582:Goodman, Donald (2016).
8411:Ferrari, Silvio (1854).
8254:Bedfordshire Independent
5951:(twelve) is between two
4537:denominators terminate:
2306:systematic element names
1948:(1951); used by the DSA
1932:or six-pointed asterisk,
1721:Used (in lower case) in
1656:. They were included in
1601:William Addison Dwiggins
1167:used a mixed duodecimal-
1053:(meaning, respectively,
811:range, and the smallest
19:Not to be confused with
8741:The Duodecimal Bulletin
8560:The Duodecimal Bulletin
8539:The Duodecimal Bulletin
8510:The Duodecimal Bulletin
8462:The Duodecimal Bulletin
8437:The Duodecimal Bulletin
8268:The Duodecimal Bulletin
8229:The Duodecimal Bulletin
8203:The Duodecimal Bulletin
8181:The Duodecimal Bulletin
8101:The Duodecimal Bulletin
7717:, the square root of 2
7676:The representations of
5985:Also, the prime factor
5802:{\textstyle 12^{2}=144}
4882:Examples in duodecimal
2642:, of which 2 and 3 are
2520:, descended from Latin
2009:Pronounced "dek", "el"
698:List of numeral systems
8734:"The Primel Metrology"
8292:. ISO/IEC JTC1/SC2/WG2
8114:Pakin, Scott (2021) .
7784:Transcendental number
7768:
7047:0434782608695652173913
5917:
5876:
5846:
5803:
5770:
5720:
5662:
5619:
5589:
5516:
5515:{\displaystyle 10^{n}}
5488:
5431:
5391:
5269:
5100:
4722:duodecimal fractions:
2586:Systems of measurement
2564:
2552:100 to the duodecimal.
2548:
2529:Alexander Craig Aitken
2506:
1942:push-button telephones
1856:∂ based on a pendulum
1578:push-button telephones
1533:for ten and a rounded
738:system, also known as
16:Base-12 numeral system
8530:Zirkel, Gene (2010).
8413:Calcolo Decidozzinale
7769:
5918:
5916:{\displaystyle n^{2}}
5877:
5875:{\displaystyle b^{n}}
5847:
5804:
5771:
5721:
5663:
5620:
5590:
5517:
5489:
5432:
5430:{\displaystyle b^{n}}
5403:th power of the base
5392:
5390:{\displaystyle b^{n}}
5270:
5101:
2686:terminating fractions
2501:
1861:Calcolo Decidozzinale
1537:capital E similar to
847:are integers) have a
799:The number twelve, a
66:Hindu–Arabic numerals
8632:A. C. Aitken (1962)
8319:. Unicode Consortium
8125:Rei, Fukui (2004) .
8094:"Symbology Overview"
8052:Gordon, E V (1957).
7737:
7127:05915343A0B62A68781B
5900:
5859:
5813:
5780:
5730:
5674:
5629:
5602:
5527:
5499:
5445:
5414:
5374:
5241:
5078:
5061:irreducible fraction
1902:(1935), with italic
1766:Origin of Z unknown
1355:Transdecimal symbols
999:Middle Belt such as
595:Prehistoric counting
371:Common radices/bases
53:Place-value notation
8835:"Changing the Base"
8655:on 6 February 2010.
4885:Decimal equivalent
3284:positional notation
2739:
2474:William James Sidis
2056:enal" and "d" for "
1895:, pronounced "elf"
1188:
815:. All multiples of
542:Sign-value notation
8822:"Nature's Numbers"
8618:"Twelves and Tens"
7959:on October 5, 2008
7953:www3.aa.tufs.ac.jp
7832:2;875236069821...
7829:2.718281828459...
7823:, the base of the
7813:3;184809493B91...
7810:3.141592653589...
7779:1;74BB6772802A...
7776:1.618033988749...
7764:
7762:
7723:1;4B79170A07B8...
7720:1.414213562373...
7678:irrational numbers
7672:Irrational numbers
6878:052631578947368421
6252:of the denominator
6239:of the denominator
6166:All other primes:
6079:All other primes:
5937:repeating decimals
5913:
5872:
5842:
5799:
5766:
5716:
5658:
5615:
5585:
5512:
5484:
5427:
5387:
5265:
5096:
5057:recurring decimals
4714:is one fourteenth)
2737:
2545:(January 25, 1962)
2507:
2095:Duodecimal numbers
1886:pronounced "dec";
1859:Silvio Ferrari in
1654:TURNED DIGIT THREE
1420:TURNED DIGIT THREE
1186:
1027:Germanic languages
198:East Asian systems
8682:978-1-4088-0959-4
8399:978-0-521-68200-8
7836:
7835:
7825:natural logarithm
7761:
7755:
7652:are (in decimal)
7606:are (in decimal)
7600:
7599:
6253:
6240:
6228:
6163:
6150:
6141:
6121:
6076:
6067:
6058:
5824:
5640:
5613:
5053:
5052:
4517:
4516:
3996:
3995:
3368:
3364:
3341:
3335:
3326:
3322:
3307:
3301:
3275:
3274:
2574:Schoolhouse Rock!
2463:
2462:
2290:
2289:
2028:
2027:
1898:Frank Andrews in
1474:
1473:
1447:Isaac Pitman
1320:
1319:
1107:old British pence
1091:Chinese calendars
1041:. They come from
927: (0.8), and
732:
731:
531:
530:
8874:
8848:
8846:
8845:
8829:
8784:
8783:
8781:
8779:
8769:
8760:
8749:
8748:
8738:
8729:
8723:
8722:
8720:
8711:
8705:
8704:
8702:
8693:
8687:
8686:
8663:
8657:
8656:
8645:
8639:
8630:
8624:
8614:
8608:
8605:
8599:
8598:
8596:
8594:
8588:
8579:
8568:
8567:
8557:
8549:
8543:
8542:
8536:
8527:
8518:
8517:
8507:
8498:
8489:
8488:
8486:
8485:
8480:
8472:
8466:
8465:
8459:
8450:
8441:
8440:
8439:. 25 (1). 1974.
8434:
8426:
8417:
8416:
8408:
8402:
8384:
8378:
8377:
8375:
8373:
8357:
8351:
8350:
8348:
8347:
8342:
8334:
8328:
8327:
8325:
8324:
8318:
8310:
8301:
8300:
8298:
8297:
8291:
8282:
8276:
8275:
8265:
8257:
8246:
8237:
8236:
8226:
8218:
8207:
8206:
8200:
8191:
8185:
8184:
8183:. 25 (1). 1974.
8178:
8170:
8164:
8163:
8161:
8151:
8140:
8134:
8123:
8122:(14.0 ed.).
8111:
8105:
8104:
8098:
8089:
8058:
8057:
8049:
8043:
8042:
8034:
8028:
8027:
8019:
8013:
8012:
8010:
8009:
8003:
7997:. Archived from
7986:
7975:
7969:
7968:
7966:
7964:
7955:. Archived from
7944:
7938:
7936:
7915:
7909:
7908:
7896:
7890:
7889:
7887:
7885:
7868:
7822:
7799:
7773:
7771:
7770:
7765:
7763:
7757:
7756:
7751:
7742:
7732:
7715:
7714:
7695:
7662:
7639:
7616:
7593:
7587:
7577:
7571:
7565:
7550:
7544:
7537:
7531:
7525:
7519:
7504:
7498:
7491:
7490:429A708579214B36
7485:
7484:2941176470588235
7479:
7473:
7458:
7452:
7445:
7439:
7433:
7427:
7412:
7399:
7384:
7377:
7371:
7365:
7350:
7344:
7338:
7331:
7325:
7319:
7313:
7307:
7292:
7285:
7279:
7273:
7258:
7252:
7245:
7239:
7233:
7227:
7212:
7202:
7196:
7181:
7175:
7168:
7162:
7156:
7150:
7135:
7128:
7119:
7104:
7098:
7088:
7082:
7076:
7061:
7054:
7048:
7042:
7027:
7021:
7014:
7008:
7002:
6996:
6981:
6975:
6968:
6962:
6956:
6950:
6935:
6929:
6922:
6913:
6907:
6892:
6885:
6879:
6873:
6858:
6852:
6842:
6836:
6830:
6815:
6808:
6807:08579214B36429A7
6802:
6801:0588235294117647
6796:
6781:
6768:
6753:
6747:
6740:
6734:
6728:
6722:
6707:
6701:
6694:
6688:
6682:
6676:
6661:
6654:
6648:
6642:
6627:
6621:
6611:
6605:
6599:
6584:
6577:
6571:
6565:
6550:
6544:
6537:
6528:
6522:
6507:
6497:
6491:
6476:
6463:
6448:
6441:
6435:
6429:
6414:
6408:
6398:
6392:
6386:
6371:
6364:
6355:
6340:
6327:
6312:
6302:
6296:
6281:
6268:
6249:
6236:
6227:
6217:
6207:
6197:
6187:
6177:
6171:
6165:
6162:
6152:
6149:
6143:
6140:
6134:
6128:
6120:
6114:
6108:
6102:
6096:
6090:
6084:
6078:
6075:
6069:
6066:
6060:
6057:
6051:
6045:
6038:
5965:composite number
5927:Recurring digits
5922:
5920:
5919:
5914:
5912:
5911:
5895:
5889:
5881:
5879:
5878:
5873:
5871:
5870:
5851:
5849:
5848:
5843:
5838:
5837:
5825:
5817:
5808:
5806:
5805:
5800:
5792:
5791:
5775:
5773:
5772:
5767:
5725:
5723:
5722:
5717:
5715:
5714:
5702:
5701:
5686:
5685:
5670:For duodecimal,
5667:
5665:
5664:
5659:
5654:
5653:
5641:
5633:
5624:
5622:
5621:
5616:
5614:
5606:
5594:
5592:
5591:
5586:
5584:
5583:
5521:
5519:
5518:
5513:
5511:
5510:
5493:
5491:
5490:
5485:
5483:
5482:
5470:
5469:
5457:
5456:
5436:
5434:
5433:
5428:
5426:
5425:
5408:
5402:
5396:
5394:
5393:
5388:
5386:
5385:
5369:
5363:
5354:
5352:
5351:
5348:
5345:
5338:
5336:
5335:
5332:
5329:
5322:
5320:
5319:
5316:
5313:
5306:
5304:
5303:
5300:
5297:
5290:
5288:
5287:
5284:
5281:
5274:
5272:
5271:
5266:
5233:
5231:
5230:
5227:
5224:
5217:
5215:
5214:
5211:
5208:
5201:
5199:
5198:
5195:
5192:
5185:
5183:
5182:
5179:
5176:
5169:
5167:
5166:
5163:
5160:
5153:
5151:
5150:
5147:
5144:
5137:
5135:
5134:
5131:
5128:
5121:
5119:
5118:
5115:
5112:
5105:
5103:
5102:
5097:
5055:As explained in
5049:22.5 + 7.5 = 30
5046:1A.6 + 7.6 = 26
5040:
5038:
5037:
5034:
5031:
5022:
5020:
5019:
5016:
5013:
5002:
5000:
4999:
4996:
4993:
4984:
4982:
4981:
4978:
4975:
4964:
4962:
4961:
4958:
4955:
4945:
4943:
4942:
4939:
4936:
4924:
4922:
4921:
4918:
4915:
4905:
4903:
4902:
4899:
4896:
4879:
4874:
4870:
4868:
4867:
4864:
4861:
4853:(one fourteenth)
4852:
4848:
4846:
4845:
4842:
4839:
4831:(one thirteenth)
4830:
4826:
4824:
4823:
4820:
4817:
4808:
4804:
4802:
4801:
4798:
4795:
4786:
4782:
4780:
4779:
4776:
4773:
4765:
4761:
4759:
4758:
4755:
4752:
4744:
4740:
4738:
4737:
4734:
4731:
4713:
4711:
4710:
4707:
4704:
4697:
4695:
4694:
4691:
4688:
4679:
4677:
4676:
4673:
4670:
4663:
4661:
4660:
4657:
4654:
4645:
4643:
4642:
4639:
4636:
4627:
4625:
4624:
4621:
4618:
4609:
4607:
4606:
4603:
4600:
4591:
4589:
4588:
4585:
4582:
4573:
4571:
4570:
4567:
4564:
4555:
4553:
4552:
4549:
4546:
4513:
4460:
4407:
4354:
4251:
4198:
4145:
4092:
4003:
3992:
3939:
3892:
3834:
3781:
3678:
3625:
3522:
3469:
3380:
3372:
3366:
3365:12,345.6 equals
3362:
3358:
3354:
3345:
3339:
3333:
3324:
3323:12,345;6 equals
3320:
3305:
3299:
2740:
2688:are those whose
2562:
2546:
2319:
2308:(with syllables
2192:
2173:
2154:
2106:
2016:William Dwiggins
2005:
1996:
1966:
1959:
1951:
1925:
1918:
1812:
1811:
1801:
1800:
1723:music set theory
1666:
1655:
1652:
1649:
1647:
1642:
1641:TURNED DIGIT TWO
1639:
1636:
1634:
1628:Unicode Standard
1621:
1619:
1618:
1613:
1612:
1598:
1596:
1590:
1567:
1565:
1552:
1546:
1528:
1526:
1511:
1509:
1495:
1493:
1483:
1481:
1467:
1465:
1461:
1421:
1418:
1415:
1413:
1407:
1406:TURNED DIGIT TWO
1404:
1401:
1399:
1381:
1378:duodecimal
1372:
1371:
1368:
1365:
1359:
1189:
1095:Earthly Branches
1017:Chepang language
945:
943:
942:
939:
936:
932:
926:
924:
923:
920:
917:
913:
907:
905:
904:
901:
898:
894:
888:
886:
885:
882:
879:
875:
869:
867:
866:
863:
860:
856:
846:
842:
841:
839:
838:
835:
832:
795:
794:
789:
788:
724:
717:
710:
513:
497:
479:
469:balanced ternary
466:
453:
59:
30:
8882:
8881:
8877:
8876:
8875:
8873:
8872:
8871:
8852:
8851:
8843:
8841:
8832:
8819:
8793:
8788:
8787:
8777:
8775:
8767:
8762:
8761:
8752:
8736:
8731:
8730:
8726:
8718:
8713:
8712:
8708:
8700:
8695:
8694:
8690:
8683:
8665:
8664:
8660:
8647:
8646:
8642:
8631:
8627:
8615:
8611:
8606:
8602:
8592:
8590:
8586:
8581:
8580:
8571:
8555:
8551:
8550:
8546:
8534:
8529:
8528:
8521:
8505:
8500:
8499:
8492:
8483:
8481:
8478:
8474:
8473:
8469:
8457:
8455:"Going Classic"
8452:
8451:
8444:
8432:
8428:
8427:
8420:
8410:
8409:
8405:
8387:Arnold Whittall
8385:
8381:
8371:
8369:
8359:
8358:
8354:
8345:
8343:
8340:
8336:
8335:
8331:
8322:
8320:
8316:
8312:
8311:
8304:
8295:
8293:
8289:
8284:
8283:
8279:
8274:(2): 1–5. 1947.
8263:
8259:
8248:
8247:
8240:
8224:
8220:
8219:
8210:
8198:
8196:"Going Classic"
8193:
8192:
8188:
8176:
8172:
8171:
8167:
8153:
8152:
8143:
8133:(1.3 ed.).
8124:
8113:
8112:
8108:
8096:
8091:
8090:
8061:
8051:
8050:
8046:
8036:
8035:
8031:
8021:
8020:
8016:
8007:
8005:
8001:
7995:
7984:
7977:
7976:
7972:
7962:
7960:
7946:
7945:
7941:
7933:
7917:
7916:
7912:
7898:
7897:
7893:
7883:
7881:
7870:
7869:
7865:
7860:
7841:
7818:
7795:
7743:
7735:
7734:
7728:
7712:
7710:
7674:
7658:
7635:
7612:
7589:
7583:
7575:
7567:
7561:
7546:
7540:
7535:
7529:
7521:
7515:
7500:
7494:
7489:
7483:
7475:
7469:
7454:
7448:
7443:
7437:
7429:
7423:
7408:
7395:
7380:
7375:
7370:032258064516129
7369:
7361:
7346:
7340:
7334:
7329:
7323:
7315:
7309:
7303:
7288:
7283:
7277:
7269:
7254:
7248:
7243:
7237:
7229:
7223:
7208:
7200:
7192:
7177:
7171:
7166:
7160:
7152:
7146:
7131:
7126:
7115:
7100:
7094:
7086:
7078:
7072:
7057:
7052:
7046:
7038:
7023:
7017:
7012:
7006:
6998:
6992:
6977:
6971:
6966:
6960:
6952:
6946:
6931:
6925:
6920:
6909:
6903:
6888:
6883:
6877:
6869:
6854:
6848:
6840:
6832:
6826:
6811:
6806:
6800:
6792:
6777:
6764:
6749:
6743:
6738:
6732:
6724:
6718:
6703:
6697:
6692:
6686:
6678:
6672:
6657:
6652:
6646:
6638:
6623:
6617:
6609:
6601:
6595:
6580:
6575:
6569:
6561:
6546:
6540:
6535:
6524:
6518:
6503:
6495:
6487:
6472:
6459:
6444:
6439:
6433:
6425:
6410:
6404:
6396:
6388:
6382:
6367:
6362:
6351:
6336:
6323:
6308:
6300:
6292:
6277:
6264:
6251:
6238:
6224:
6219:
6214:
6209:
6204:
6199:
6194:
6189:
6184:
6179:
6173:
6167:
6164:
6159:
6154:
6151:
6145:
6142:
6136:
6130:
6127:
6125:Duodecimal base
6116:
6110:
6104:
6098:
6092:
6086:
6080:
6077:
6071:
6068:
6062:
6059:
6053:
6047:
6044:
6034:
6030:
6027:1/(2) = 0.03125
6024:
6020:
6014:
6010:
6004:
6000:
5929:
5903:
5898:
5897:
5891:
5884:
5862:
5857:
5856:
5829:
5811:
5810:
5783:
5778:
5777:
5728:
5727:
5706:
5690:
5677:
5672:
5671:
5645:
5627:
5626:
5600:
5599:
5575:
5525:
5524:
5502:
5497:
5496:
5474:
5461:
5448:
5443:
5442:
5417:
5412:
5411:
5404:
5398:
5377:
5372:
5371:
5365:
5359:
5349:
5346:
5343:
5342:
5340:
5333:
5330:
5327:
5326:
5324:
5317:
5314:
5311:
5310:
5308:
5301:
5298:
5295:
5294:
5292:
5285:
5282:
5279:
5278:
5276:
5239:
5238:
5228:
5225:
5222:
5221:
5219:
5212:
5209:
5206:
5205:
5203:
5196:
5193:
5190:
5189:
5187:
5180:
5177:
5174:
5173:
5171:
5164:
5161:
5158:
5157:
5155:
5148:
5145:
5142:
5141:
5139:
5132:
5129:
5126:
5125:
5123:
5116:
5113:
5110:
5109:
5107:
5076:
5075:
5035:
5032:
5029:
5028:
5026:
5017:
5014:
5011:
5010:
5008:
4997:
4994:
4991:
4990:
4988:
4979:
4976:
4973:
4972:
4970:
4959:
4956:
4953:
4952:
4950:
4940:
4937:
4934:
4933:
4931:
4919:
4916:
4913:
4912:
4910:
4900:
4897:
4894:
4893:
4891:
4875:(one fifteenth)
4872:
4865:
4862:
4859:
4858:
4856:
4850:
4843:
4840:
4837:
4836:
4834:
4828:
4821:
4818:
4815:
4814:
4812:
4806:
4799:
4796:
4793:
4792:
4790:
4784:
4777:
4774:
4771:
4770:
4768:
4763:
4756:
4753:
4750:
4749:
4747:
4742:
4735:
4732:
4729:
4728:
4726:
4708:
4705:
4702:
4701:
4699:
4692:
4689:
4686:
4685:
4683:
4674:
4671:
4668:
4667:
4665:
4658:
4655:
4652:
4651:
4649:
4640:
4637:
4634:
4633:
4631:
4622:
4619:
4616:
4615:
4613:
4604:
4601:
4598:
4597:
4595:
4586:
4583:
4580:
4579:
4577:
4568:
4565:
4562:
4561:
4559:
4550:
4547:
4544:
4543:
4541:
4527:
4522:
4511:
4458:
4405:
4352:
4249:
4196:
4143:
4090:
4001:
3990:
3937:
3890:
3832:
3779:
3676:
3623:
3520:
3467:
3378:
3370:
3359:
3356:
3352:
3343:
3337:
3317:
3303:
3280:
2605:
2583:
2569:
2563:
2556:
2547:
2540:
2471:
2343:
2338:
2333:
2328:
2323:
2302:
2130:
2125:
2120:
2115:
2110:
2097:
2089:
2067:
2063:
2051:
2047:
2043:
2039:
2033:
2024:
2006:
1997:
1976:
1967:
1964:
1960:
1957:
1949:
1933:
1926:
1923:
1919:
1916:
1887:
1879:
1872:
1855:
1851:
1846:
1827:
1822:
1803:
1789:
1784:
1763:
1758:
1744:
1736:
1731:
1708:
1703:
1687:
1682:
1653:
1650:
1645:
1644:
1640:
1637:
1632:
1631:
1620: ⟩
1616:
1615:
1610:
1609:
1608:⟨
1607:
1597: ⟩
1585:⟨
1584:
1563:
1561:
1548:
1542:
1518:
1516:
1507:
1505:
1491:
1489:
1479:
1477:
1470:
1457:
1456:
1424:
1419:
1416:
1411:
1410:
1405:
1402:
1397:
1396:
1382:
1379:
1369:
1366:
1363:
1362:
1357:
1346:Arabic numerals
1325:
1211:English (Troy)
1193:
1007:(Gure-Kahugu),
989:finger counting
971:
940:
937:
934:
933:
930:
928:
921:
918:
915:
914:
911:
909:
902:
899:
896:
895:
892:
890:
883:
880:
877:
876:
873:
871:
864:
861:
858:
857:
854:
852:
844:
836:
833:
828:
827:
825:
824:
813:abundant number
792:
791:
786:
785:
728:
692:
691:
614:
600:Proto-cuneiform
545:
544:
533:
532:
527:
526:
511:
495:
477:
464:
451:
438:
367:
366:
354:
353:
334:
294:
279:
270:
269:
260:
259:
241:
200:
199:
190:
189:
141:
83:
69:
68:
56:
55:
43:Numeral systems
28:
17:
12:
11:
5:
8880:
8878:
8870:
8869:
8864:
8854:
8853:
8850:
8849:
8830:
8817:
8812:
8811:
8810:
8804:
8792:
8791:External links
8789:
8786:
8785:
8765:"Dozenal FAQs"
8750:
8724:
8706:
8688:
8681:
8669:(2011-04-04).
8658:
8640:
8625:
8609:
8600:
8569:
8544:
8519:
8490:
8467:
8442:
8418:
8403:
8379:
8352:
8329:
8302:
8277:
8238:
8222:"Mo for Megro"
8208:
8186:
8165:
8141:
8106:
8059:
8044:
8029:
8014:
7993:
7970:
7939:
7931:
7919:Ifrah, Georges
7910:
7891:
7862:
7861:
7859:
7856:
7855:
7854:
7848:
7840:
7837:
7834:
7833:
7830:
7827:
7815:
7814:
7811:
7808:
7792:
7791:
7790:In duodecimal
7788:
7785:
7781:
7780:
7777:
7774:
7760:
7754:
7749:
7746:
7725:
7724:
7721:
7718:
7706:
7705:
7704:In duodecimal
7702:
7699:
7690:transcendental
7673:
7670:
7669:
7668:
7646:
7645:
7623:
7622:
7598:
7597:
7594:
7581:
7578:
7572:
7559:
7555:
7554:
7551:
7538:
7532:
7526:
7513:
7509:
7508:
7505:
7492:
7486:
7480:
7467:
7463:
7462:
7459:
7446:
7440:
7434:
7421:
7417:
7416:
7413:
7406:
7403:
7400:
7393:
7389:
7388:
7385:
7378:
7372:
7366:
7359:
7355:
7354:
7351:
7332:
7326:
7320:
7301:
7297:
7296:
7293:
7286:
7280:
7274:
7267:
7263:
7262:
7259:
7246:
7240:
7234:
7221:
7217:
7216:
7213:
7206:
7203:
7197:
7190:
7186:
7185:
7182:
7169:
7163:
7157:
7144:
7140:
7139:
7136:
7129:
7123:
7120:
7113:
7109:
7108:
7105:
7092:
7089:
7083:
7070:
7066:
7065:
7062:
7055:
7049:
7043:
7036:
7032:
7031:
7028:
7015:
7009:
7003:
6990:
6986:
6985:
6982:
6969:
6963:
6957:
6944:
6940:
6939:
6936:
6923:
6917:
6914:
6901:
6897:
6896:
6893:
6886:
6880:
6874:
6867:
6863:
6862:
6859:
6846:
6843:
6837:
6824:
6820:
6819:
6816:
6809:
6803:
6797:
6790:
6786:
6785:
6782:
6775:
6772:
6769:
6762:
6758:
6757:
6754:
6741:
6735:
6729:
6716:
6712:
6711:
6708:
6695:
6689:
6683:
6670:
6666:
6665:
6662:
6655:
6649:
6643:
6636:
6632:
6631:
6628:
6615:
6612:
6606:
6593:
6589:
6588:
6585:
6578:
6572:
6566:
6559:
6555:
6554:
6551:
6538:
6532:
6529:
6516:
6512:
6511:
6508:
6501:
6498:
6492:
6485:
6481:
6480:
6477:
6470:
6467:
6464:
6457:
6453:
6452:
6449:
6442:
6436:
6430:
6423:
6419:
6418:
6415:
6402:
6399:
6393:
6380:
6376:
6375:
6372:
6365:
6359:
6356:
6349:
6345:
6344:
6341:
6334:
6331:
6328:
6321:
6317:
6316:
6313:
6306:
6303:
6297:
6290:
6286:
6285:
6282:
6275:
6272:
6269:
6262:
6258:
6257:
6254:
6247:
6244:
6241:
6234:
6230:
6229:
6222:
6212:
6202:
6192:
6182:
6157:
6122:
6036:
6035:
6032:
6028:
6025:
6022:
6018:
6017:1/(2) = 0.0625
6015:
6012:
6008:
6005:
6002:
5998:
5928:
5925:
5910:
5906:
5869:
5865:
5841:
5836:
5832:
5828:
5823:
5820:
5798:
5795:
5790:
5786:
5765:
5762:
5759:
5756:
5753:
5750:
5747:
5744:
5741:
5738:
5735:
5713:
5709:
5705:
5700:
5697:
5693:
5689:
5684:
5680:
5657:
5652:
5648:
5644:
5639:
5636:
5612:
5609:
5582:
5578:
5574:
5571:
5568:
5565:
5562:
5559:
5556:
5553:
5550:
5547:
5544:
5541:
5538:
5535:
5532:
5509:
5505:
5481:
5477:
5473:
5468:
5464:
5460:
5455:
5451:
5424:
5420:
5384:
5380:
5339:is exact, and
5264:
5261:
5258:
5255:
5252:
5249:
5246:
5095:
5092:
5089:
5086:
5083:
5063:is written in
5059:, whenever an
5051:
5050:
5047:
5043:
5042:
5024:
5005:
5004:
4986:
4967:
4966:
4947:
4927:
4926:
4907:
4887:
4886:
4883:
4877:
4876:
4854:
4832:
4810:
4809:(one eleventh)
4788:
4766:
4745:
4716:
4715:
4681:
4647:
4629:
4611:
4593:
4575:
4557:
4526:
4523:
4521:
4518:
4515:
4514:
4508:
4503:
4500:
4495:
4492:
4487:
4484:
4479:
4476:
4471:
4468:
4462:
4461:
4455:
4450:
4447:
4442:
4439:
4434:
4431:
4426:
4423:
4418:
4415:
4409:
4408:
4402:
4397:
4394:
4389:
4386:
4381:
4378:
4373:
4370:
4365:
4362:
4356:
4355:
4349:
4344:
4341:
4336:
4333:
4328:
4325:
4320:
4317:
4312:
4309:
4303:
4302:
4299:
4294:
4291:
4286:
4283:
4278:
4275:
4270:
4267:
4262:
4259:
4253:
4252:
4246:
4241:
4238:
4233:
4230:
4225:
4222:
4217:
4214:
4209:
4206:
4200:
4199:
4193:
4188:
4185:
4180:
4177:
4172:
4169:
4164:
4161:
4156:
4153:
4147:
4146:
4140:
4135:
4132:
4127:
4124:
4119:
4116:
4111:
4108:
4103:
4100:
4094:
4093:
4087:
4082:
4079:
4074:
4071:
4066:
4063:
4058:
4055:
4050:
4047:
4041:
4040:
4037:
4034:
4031:
4028:
4025:
4022:
4019:
4016:
4013:
4010:
4007:
4000:
3997:
3994:
3993:
3987:
3982:
3979:
3974:
3971:
3966:
3963:
3958:
3955:
3950:
3947:
3941:
3940:
3934:
3929:
3926:
3921:
3918:
3913:
3910:
3905:
3902:
3897:
3894:
3886:
3885:
3882:
3877:
3874:
3869:
3866:
3861:
3858:
3853:
3850:
3845:
3842:
3836:
3835:
3829:
3824:
3821:
3816:
3813:
3808:
3805:
3800:
3797:
3792:
3789:
3783:
3782:
3776:
3771:
3768:
3763:
3760:
3755:
3752:
3747:
3744:
3739:
3736:
3730:
3729:
3726:
3721:
3718:
3713:
3710:
3705:
3702:
3697:
3694:
3689:
3686:
3680:
3679:
3673:
3668:
3665:
3660:
3657:
3652:
3649:
3644:
3641:
3636:
3633:
3627:
3626:
3620:
3615:
3612:
3607:
3604:
3599:
3596:
3591:
3588:
3583:
3580:
3574:
3573:
3570:
3565:
3562:
3557:
3554:
3549:
3546:
3541:
3538:
3533:
3530:
3524:
3523:
3517:
3512:
3509:
3504:
3501:
3496:
3493:
3488:
3485:
3480:
3477:
3471:
3470:
3464:
3459:
3456:
3451:
3448:
3443:
3440:
3435:
3432:
3427:
3424:
3418:
3417:
3414:
3411:
3408:
3405:
3402:
3399:
3396:
3393:
3390:
3387:
3384:
3377:
3374:
3350:
3314:
3310:
3309:
3292:
3291:
3279:
3276:
3273:
3272:
3269:
3266:
3263:
3260:
3257:
3254:
3251:
3248:
3245:
3242:
3239:
3236:
3232:
3231:
3228:
3225:
3222:
3219:
3216:
3213:
3210:
3207:
3204:
3201:
3198:
3195:
3191:
3190:
3187:
3184:
3181:
3178:
3175:
3172:
3169:
3166:
3163:
3160:
3157:
3154:
3150:
3149:
3146:
3143:
3140:
3137:
3134:
3131:
3128:
3125:
3122:
3119:
3116:
3113:
3109:
3108:
3105:
3102:
3099:
3096:
3093:
3090:
3087:
3084:
3081:
3078:
3075:
3072:
3068:
3067:
3064:
3061:
3058:
3055:
3052:
3049:
3046:
3043:
3040:
3037:
3034:
3031:
3027:
3026:
3023:
3020:
3017:
3014:
3011:
3008:
3005:
3002:
2999:
2996:
2993:
2990:
2986:
2985:
2982:
2979:
2976:
2973:
2970:
2967:
2964:
2961:
2958:
2955:
2952:
2949:
2945:
2944:
2941:
2938:
2935:
2932:
2929:
2926:
2923:
2920:
2917:
2914:
2911:
2908:
2904:
2903:
2900:
2897:
2894:
2891:
2888:
2885:
2882:
2879:
2876:
2873:
2870:
2867:
2863:
2862:
2859:
2856:
2853:
2850:
2847:
2844:
2841:
2838:
2835:
2832:
2829:
2826:
2822:
2821:
2818:
2815:
2812:
2809:
2806:
2803:
2800:
2797:
2794:
2791:
2788:
2785:
2781:
2780:
2777:
2774:
2771:
2768:
2765:
2762:
2759:
2756:
2753:
2750:
2747:
2744:
2612:
2611:
2604:
2601:
2600:
2599:
2596:
2593:
2582:
2579:
2568:
2565:
2557:A. C. Aitken,
2554:
2538:
2470:
2467:
2461:
2460:
2457:
2454:
2451:
2448:
2444:
2443:
2440:
2437:
2434:
2431:
2427:
2426:
2423:
2420:
2417:
2414:
2410:
2409:
2406:
2403:
2400:
2397:
2393:
2392:
2389:
2386:
2383:
2380:
2376:
2375:
2372:
2369:
2366:
2363:
2359:
2358:
2356:
2353:
2350:
2346:
2345:
2340:
2335:
2330:
2325:
2301:
2298:
2288:
2287:
2284:
2281:
2278:
2275:
2271:
2270:
2267:
2264:
2261:
2258:
2254:
2253:
2250:
2247:
2244:
2241:
2237:
2236:
2233:
2230:
2227:
2224:
2220:
2219:
2216:
2213:
2210:
2207:
2203:
2202:
2199:
2196:
2193:
2188:
2184:
2183:
2180:
2177:
2174:
2169:
2165:
2164:
2161:
2158:
2155:
2150:
2146:
2145:
2143:
2140:
2137:
2133:
2132:
2127:
2122:
2117:
2112:
2096:
2093:
2088:
2085:
2065:
2061:
2049:
2045:
2041:
2037:
2032:
2029:
2026:
2025:
2023:
2022:
2019:
2012:
2010:
2007:
2000:
1998:
1991:
1988:
1987:
1977:
1975:
1974:
1970:
1968:
1963:
1961:
1956:
1953:
1952:
1938:
1937:or octothorpe
1927:
1922:
1920:
1915:
1912:
1911:
1896:
1880:
1875:
1873:
1868:
1865:
1864:
1857:
1852:
1849:
1847:
1844:
1841:
1840:
1838:
1828:
1825:
1823:
1820:
1817:
1816:
1814:
1790:
1787:
1785:
1782:
1779:
1778:
1769:Attributed to
1767:
1764:
1761:
1759:
1756:
1753:
1752:
1750:
1737:
1734:
1732:
1729:
1726:
1725:
1719:
1709:
1706:
1704:
1701:
1698:
1697:
1694:
1688:
1685:
1683:
1680:
1677:
1676:
1673:
1670:
1472:
1471:
1469:
1468:
1464:\textturnthree
1449:
1442:
1439:
1438:
1434:
1433:
1426:
1425:
1423:
1422:
1408:
1393:
1391:
1384:
1383:
1377:
1374:
1373:
1356:
1353:
1324:
1321:
1318:
1317:
1312:
1307:
1302:
1297:
1293:
1292:
1286:
1280:
1275:
1270:
1266:
1265:
1260:
1255:
1250:
1245:
1241:
1240:
1235:
1230:
1225:
1220:
1216:
1215:
1212:
1209:
1206:
1202:
1201:
1198:
1195:
1173:pound sterling
1165:United Kingdom
1157:decimalisation
1073:Historically,
1043:Proto-Germanic
982:
981:
970:
967:
751:numeral system
730:
729:
727:
726:
719:
712:
704:
701:
700:
694:
693:
690:
689:
684:
679:
674:
669:
664:
659:
654:
653:
652:
647:
642:
632:
627:
621:
620:
613:
612:
607:
602:
597:
592:
587:
582:
577:
572:
567:
562:
557:
551:
550:
549:Non-alphabetic
546:
540:
539:
538:
535:
534:
529:
528:
525:
524:
519:
506:
490:
485:
472:
459:
445:
444:
437:
436:
429:
424:
419:
414:
409:
404:
399:
394:
389:
384:
379:
373:
372:
368:
361:
360:
359:
356:
355:
352:
351:
345:
339:
338:
333:
332:
327:
322:
317:
312:
307:
301:
300:
298:Post-classical
293:
292:
286:
285:
278:
277:
271:
267:
266:
265:
262:
261:
258:
257:
252:
246:
245:
240:
239:
234:
229:
224:
219:
218:
217:
206:
205:
201:
197:
196:
195:
192:
191:
188:
187:
182:
177:
172:
167:
162:
157:
152:
147:
140:
139:
134:
129:
124:
119:
114:
109:
104:
99:
94:
89:
82:
81:
79:Eastern Arabic
76:
74:Western Arabic
70:
64:
63:
62:
57:
51:
50:
49:
46:
45:
39:
38:
15:
13:
10:
9:
6:
4:
3:
2:
8879:
8868:
8865:
8863:
8860:
8859:
8857:
8840:
8836:
8831:
8827:
8823:
8818:
8816:
8813:
8808:
8805:
8803:
8800:
8799:
8798:
8795:
8794:
8790:
8773:
8766:
8759:
8757:
8755:
8751:
8746:
8742:
8735:
8732:Volan, John.
8728:
8725:
8717:
8710:
8707:
8699:
8692:
8689:
8684:
8678:
8674:
8673:
8668:
8662:
8659:
8654:
8650:
8644:
8641:
8637:
8636:
8629:
8626:
8622:
8619:
8613:
8610:
8604:
8601:
8585:
8578:
8576:
8574:
8570:
8565:
8561:
8554:
8548:
8545:
8540:
8533:
8526:
8524:
8520:
8515:
8511:
8504:
8497:
8495:
8491:
8477:
8471:
8468:
8463:
8456:
8449:
8447:
8443:
8438:
8431:
8425:
8423:
8419:
8414:
8407:
8404:
8400:
8396:
8392:
8388:
8383:
8380:
8367:
8363:
8356:
8353:
8339:
8333:
8330:
8315:
8309:
8307:
8303:
8288:
8281:
8278:
8273:
8269:
8262:
8258:Reprinted as
8255:
8251:
8250:Pitman, Isaac
8245:
8243:
8239:
8234:
8230:
8223:
8217:
8215:
8213:
8209:
8204:
8197:
8190:
8187:
8182:
8175:
8169:
8166:
8162:. p. 52.
8160:
8159:
8150:
8148:
8146:
8142:
8138:
8132:
8128:
8121:
8117:
8110:
8107:
8102:
8095:
8088:
8086:
8084:
8082:
8080:
8078:
8076:
8074:
8072:
8070:
8068:
8066:
8064:
8060:
8055:
8048:
8045:
8040:
8033:
8030:
8025:
8018:
8015:
8004:on 2016-03-28
8000:
7996:
7994:90-429-1295-2
7990:
7983:
7982:
7974:
7971:
7958:
7954:
7950:
7943:
7940:
7934:
7932:0-471-39340-1
7928:
7924:
7920:
7914:
7911:
7906:
7902:
7895:
7892:
7880:
7879:
7874:
7867:
7864:
7857:
7852:
7849:
7846:
7843:
7842:
7838:
7831:
7828:
7826:
7821:
7817:
7816:
7812:
7809:
7807:
7803:
7802:circumference
7798:
7794:
7793:
7789:
7786:
7783:
7782:
7778:
7775:
7758:
7752:
7747:
7744:
7731:
7727:
7726:
7722:
7719:
7716:
7708:
7707:
7703:
7700:
7697:
7696:
7693:
7691:
7687:
7683:
7679:
7671:
7666:
7661:
7655:
7654:
7653:
7651:
7643:
7638:
7632:
7631:
7630:
7628:
7620:
7615:
7609:
7608:
7607:
7605:
7595:
7592:
7586:
7582:
7579:
7573:
7570:
7564:
7560:
7557:
7556:
7552:
7549:
7543:
7539:
7533:
7527:
7524:
7518:
7514:
7511:
7510:
7506:
7503:
7497:
7493:
7487:
7481:
7478:
7472:
7468:
7465:
7464:
7460:
7457:
7451:
7447:
7441:
7435:
7432:
7426:
7422:
7419:
7418:
7414:
7411:
7407:
7404:
7401:
7398:
7394:
7391:
7390:
7386:
7383:
7379:
7373:
7367:
7364:
7360:
7357:
7356:
7352:
7349:
7343:
7337:
7333:
7327:
7321:
7318:
7312:
7306:
7302:
7299:
7298:
7294:
7291:
7287:
7281:
7275:
7272:
7268:
7265:
7264:
7260:
7257:
7251:
7247:
7241:
7235:
7232:
7226:
7222:
7219:
7218:
7214:
7211:
7207:
7204:
7198:
7195:
7191:
7188:
7187:
7183:
7180:
7174:
7170:
7164:
7158:
7155:
7149:
7145:
7142:
7141:
7137:
7134:
7130:
7124:
7121:
7118:
7114:
7111:
7110:
7106:
7103:
7097:
7093:
7090:
7084:
7081:
7075:
7071:
7068:
7067:
7063:
7060:
7056:
7050:
7044:
7041:
7037:
7034:
7033:
7029:
7026:
7020:
7016:
7010:
7004:
7001:
6995:
6991:
6988:
6987:
6983:
6980:
6974:
6970:
6964:
6958:
6955:
6949:
6945:
6942:
6941:
6937:
6934:
6928:
6924:
6918:
6915:
6912:
6906:
6902:
6899:
6898:
6894:
6891:
6887:
6881:
6875:
6872:
6868:
6865:
6864:
6860:
6857:
6851:
6847:
6844:
6838:
6835:
6829:
6825:
6822:
6821:
6817:
6814:
6810:
6804:
6798:
6795:
6791:
6788:
6787:
6783:
6780:
6776:
6773:
6770:
6767:
6763:
6760:
6759:
6755:
6752:
6746:
6742:
6736:
6730:
6727:
6721:
6717:
6714:
6713:
6709:
6706:
6700:
6696:
6690:
6684:
6681:
6675:
6671:
6668:
6667:
6663:
6660:
6656:
6650:
6644:
6641:
6637:
6634:
6633:
6629:
6626:
6620:
6616:
6613:
6607:
6604:
6598:
6594:
6591:
6590:
6586:
6583:
6579:
6573:
6567:
6564:
6560:
6557:
6556:
6552:
6549:
6543:
6539:
6533:
6530:
6527:
6521:
6517:
6514:
6513:
6509:
6506:
6502:
6499:
6493:
6490:
6486:
6483:
6482:
6478:
6475:
6471:
6468:
6465:
6462:
6458:
6455:
6454:
6450:
6447:
6443:
6437:
6431:
6428:
6424:
6421:
6420:
6416:
6413:
6407:
6403:
6400:
6394:
6391:
6385:
6381:
6378:
6377:
6373:
6370:
6366:
6360:
6357:
6354:
6350:
6347:
6346:
6342:
6339:
6335:
6332:
6329:
6326:
6322:
6319:
6318:
6314:
6311:
6307:
6304:
6298:
6295:
6291:
6288:
6287:
6283:
6280:
6276:
6273:
6270:
6267:
6263:
6260:
6259:
6255:
6250:Prime factors
6248:
6245:
6242:
6237:Prime factors
6235:
6232:
6231:
6226:
6216:
6206:
6196:
6186:
6176:
6170:
6161:
6148:
6139:
6133:
6126:
6119:
6113:
6107:
6101:
6095:
6089:
6083:
6074:
6065:
6056:
6050:
6043:
6039:
6026:
6016:
6007:1/(2) = 0.125
6006:
5996:
5995:
5994:
5992:
5991:powers of two
5988:
5983:
5981:
5977:
5973:
5969:
5966:
5962:
5959:(eleven) and
5958:
5954:
5953:prime numbers
5950:
5946:
5941:
5938:
5934:
5926:
5924:
5908:
5904:
5894:
5887:
5882:
5867:
5863:
5852:
5839:
5834:
5830:
5826:
5821:
5818:
5796:
5793:
5788:
5784:
5760:
5757:
5754:
5745:
5742:
5739:
5736:
5711:
5707:
5703:
5698:
5695:
5691:
5687:
5682:
5678:
5668:
5655:
5650:
5646:
5642:
5637:
5634:
5610:
5607:
5596:
5580:
5572:
5569:
5566:
5560:
5554:
5551:
5548:
5539:
5536:
5533:
5522:
5507:
5503:
5479:
5475:
5471:
5466:
5462:
5458:
5453:
5449:
5441:For decimal,
5439:
5437:
5422:
5418:
5407:
5401:
5382:
5378:
5368:
5362:
5356:
5262:
5259:
5256:
5253:
5250:
5247:
5244:
5235:
5186: =
5154: =
5122: =
5093:
5090:
5087:
5084:
5081:
5072:
5070:
5069:prime factors
5066:
5062:
5058:
5048:
5045:
5044:
5025:
5007:
5006:
4987:
4969:
4968:
4948:
4929:
4928:
4908:
4889:
4888:
4884:
4881:
4880:
4855:
4833:
4811:
4789:
4767:
4746:
4725:
4724:
4723:
4721:
4682:
4680:is one tenth)
4648:
4630:
4612:
4594:
4576:
4558:
4540:
4539:
4538:
4536:
4532:
4524:
4519:
4509:
4507:
4504:
4501:
4499:
4496:
4493:
4491:
4488:
4485:
4483:
4480:
4477:
4475:
4472:
4469:
4467:
4464:
4463:
4456:
4454:
4451:
4448:
4446:
4443:
4440:
4438:
4435:
4432:
4430:
4427:
4424:
4422:
4419:
4416:
4414:
4411:
4410:
4403:
4401:
4398:
4395:
4393:
4390:
4387:
4385:
4382:
4379:
4377:
4374:
4371:
4369:
4366:
4363:
4361:
4358:
4357:
4350:
4348:
4345:
4342:
4340:
4337:
4334:
4332:
4329:
4326:
4324:
4321:
4318:
4316:
4313:
4310:
4308:
4305:
4304:
4300:
4298:
4295:
4292:
4290:
4287:
4284:
4282:
4279:
4276:
4274:
4271:
4268:
4266:
4263:
4260:
4258:
4255:
4254:
4247:
4245:
4242:
4239:
4237:
4234:
4231:
4229:
4226:
4223:
4221:
4218:
4215:
4213:
4210:
4207:
4205:
4202:
4201:
4194:
4192:
4189:
4186:
4184:
4181:
4178:
4176:
4173:
4170:
4168:
4165:
4162:
4160:
4157:
4154:
4152:
4149:
4148:
4141:
4139:
4136:
4133:
4131:
4128:
4125:
4123:
4120:
4117:
4115:
4112:
4109:
4107:
4104:
4101:
4099:
4096:
4095:
4088:
4086:
4083:
4080:
4078:
4075:
4072:
4070:
4067:
4064:
4062:
4059:
4056:
4054:
4051:
4048:
4046:
4043:
4042:
4038:
4035:
4032:
4029:
4026:
4023:
4020:
4017:
4014:
4011:
4008:
4005:
4004:
3998:
3988:
3986:
3983:
3980:
3978:
3975:
3972:
3970:
3967:
3964:
3962:
3959:
3956:
3954:
3951:
3948:
3946:
3943:
3942:
3935:
3933:
3930:
3927:
3925:
3922:
3919:
3917:
3914:
3911:
3909:
3906:
3903:
3901:
3898:
3895:
3893:
3888:
3887:
3883:
3881:
3878:
3875:
3873:
3870:
3867:
3865:
3862:
3859:
3857:
3854:
3851:
3849:
3846:
3843:
3841:
3838:
3837:
3830:
3828:
3825:
3822:
3820:
3817:
3814:
3812:
3809:
3806:
3804:
3801:
3798:
3796:
3793:
3790:
3788:
3785:
3784:
3777:
3775:
3772:
3769:
3767:
3764:
3761:
3759:
3756:
3753:
3751:
3748:
3745:
3743:
3740:
3737:
3735:
3732:
3731:
3727:
3725:
3722:
3719:
3717:
3714:
3711:
3709:
3706:
3703:
3701:
3698:
3695:
3693:
3690:
3687:
3685:
3682:
3681:
3674:
3672:
3669:
3666:
3664:
3661:
3658:
3656:
3653:
3650:
3648:
3645:
3642:
3640:
3637:
3634:
3632:
3629:
3628:
3621:
3619:
3616:
3613:
3611:
3608:
3605:
3603:
3600:
3597:
3595:
3592:
3589:
3587:
3584:
3581:
3579:
3576:
3575:
3571:
3569:
3566:
3563:
3561:
3558:
3555:
3553:
3550:
3547:
3545:
3542:
3539:
3537:
3534:
3531:
3529:
3526:
3525:
3518:
3516:
3513:
3510:
3508:
3505:
3502:
3500:
3497:
3494:
3492:
3489:
3486:
3484:
3481:
3478:
3476:
3473:
3472:
3465:
3463:
3460:
3457:
3455:
3452:
3449:
3447:
3444:
3441:
3439:
3436:
3433:
3431:
3428:
3425:
3423:
3420:
3419:
3415:
3412:
3409:
3406:
3403:
3400:
3397:
3394:
3391:
3388:
3385:
3382:
3381:
3375:
3373:
3349:
3346:
3331:
3328:
3313:
3298:
3297:
3296:
3289:
3288:
3287:
3285:
3277:
3270:
3267:
3264:
3261:
3258:
3255:
3252:
3249:
3246:
3243:
3240:
3237:
3234:
3233:
3229:
3226:
3223:
3220:
3217:
3214:
3211:
3208:
3205:
3202:
3199:
3196:
3193:
3192:
3188:
3185:
3182:
3179:
3176:
3173:
3170:
3167:
3164:
3161:
3158:
3155:
3152:
3151:
3147:
3144:
3141:
3138:
3135:
3132:
3129:
3126:
3123:
3120:
3117:
3114:
3111:
3110:
3106:
3103:
3100:
3097:
3094:
3091:
3088:
3085:
3082:
3079:
3076:
3073:
3070:
3069:
3065:
3062:
3059:
3056:
3053:
3050:
3047:
3044:
3041:
3038:
3035:
3032:
3029:
3028:
3024:
3021:
3018:
3015:
3012:
3009:
3006:
3003:
3000:
2997:
2994:
2991:
2988:
2987:
2983:
2980:
2977:
2974:
2971:
2968:
2965:
2962:
2959:
2956:
2953:
2950:
2947:
2946:
2942:
2939:
2936:
2933:
2930:
2927:
2924:
2921:
2918:
2915:
2912:
2909:
2906:
2905:
2901:
2898:
2895:
2892:
2889:
2886:
2883:
2880:
2877:
2874:
2871:
2868:
2865:
2864:
2860:
2857:
2854:
2851:
2848:
2845:
2842:
2839:
2836:
2833:
2830:
2827:
2824:
2823:
2819:
2816:
2813:
2810:
2807:
2804:
2801:
2798:
2795:
2792:
2789:
2786:
2783:
2782:
2778:
2775:
2772:
2769:
2766:
2763:
2760:
2757:
2754:
2751:
2748:
2745:
2742:
2741:
2735:
2734:
2730:
2727:
2725:
2721:
2717:
2713:
2709:
2705:
2701:
2697:
2695:
2691:
2687:
2683:
2679:
2675:
2671:
2667:
2665:
2661:
2657:
2653:
2649:
2645:
2641:
2637:
2633:
2629:
2625:
2621:
2616:
2610:
2607:
2606:
2602:
2597:
2594:
2591:
2590:
2589:
2587:
2580:
2578:
2576:
2575:
2566:
2560:
2553:
2544:
2537:
2532:
2530:
2525:
2523:
2519:
2518:
2513:
2505:
2500:
2496:
2494:
2490:
2486:
2481:
2479:
2475:
2468:
2466:
2458:
2455:
2452:
2449:
2446:
2445:
2441:
2438:
2435:
2432:
2429:
2428:
2424:
2421:
2418:
2415:
2412:
2411:
2407:
2404:
2401:
2398:
2395:
2394:
2390:
2387:
2384:
2381:
2378:
2377:
2373:
2370:
2367:
2364:
2361:
2360:
2354:
2351:
2348:
2347:
2341:
2336:
2331:
2326:
2321:
2320:
2317:
2315:
2311:
2307:
2299:
2297:
2293:
2285:
2283:0;000,000,01
2282:
2279:
2276:
2274:100,000,000;
2273:
2272:
2268:
2265:
2262:
2259:
2256:
2255:
2251:
2248:
2245:
2242:
2239:
2238:
2234:
2231:
2228:
2225:
2222:
2221:
2217:
2214:
2211:
2208:
2205:
2204:
2200:
2197:
2194:
2189:
2186:
2185:
2181:
2178:
2175:
2170:
2167:
2166:
2162:
2159:
2156:
2151:
2148:
2147:
2141:
2138:
2135:
2134:
2128:
2123:
2118:
2113:
2108:
2107:
2104:
2102:
2094:
2092:
2087:Pronunciation
2086:
2084:
2082:
2081:decimal point
2079:instead of a
2078:
2074:
2069:
2059:
2055:
2031:Base notation
2030:
2020:
2018:(1945/1932?).
2017:
2014:
2013:
2011:
2008:
2004:
1999:
1995:
1990:
1989:
1985:
1981:
1978:
1972:
1971:
1969:
1962:
1955:
1954:
1947:
1943:
1939:
1936:
1931:
1928:
1921:
1914:
1913:
1909:
1905:
1901:
1897:
1894:
1891:
1885:
1881:
1878:
1874:
1871:
1867:
1866:
1862:
1858:
1853:
1848:
1843:
1842:
1839:
1837:
1833:
1829:
1824:
1819:
1818:
1815:
1806:
1795:
1791:
1786:
1781:
1780:
1776:
1772:
1768:
1765:
1760:
1755:
1754:
1751:
1748:
1742:
1741:Roman numeral
1738:
1733:
1728:
1727:
1724:
1720:
1718:
1714:
1710:
1705:
1700:
1699:
1695:
1693:
1689:
1684:
1679:
1678:
1674:
1671:
1667:
1664:
1661:
1659:
1629:
1625:
1604:
1602:
1595:
1589:
1581:
1579:
1575:
1571:
1559:
1554:
1551:
1545:
1540:
1536:
1532:
1531:Roman numeral
1525:
1521:
1515:
1503:
1499:
1496:(initials of
1487:
1454:
1450:
1448:
1444:
1443:
1440:
1435:
1432:
1427:
1409:
1395:
1394:
1392:
1390:
1385:
1375:
1360:
1354:
1352:
1349:
1347:
1342:
1338:
1334:
1330:
1322:
1316:
1313:
1311:
1308:
1306:
1303:
1301:
1298:
1295:
1294:
1291:
1287:
1285:
1281:
1279:
1276:
1274:
1271:
1268:
1267:
1264:
1261:
1259:
1256:
1254:
1251:
1249:
1246:
1243:
1242:
1239:
1236:
1234:
1231:
1229:
1226:
1224:
1221:
1218:
1217:
1213:
1210:
1207:
1204:
1203:
1190:
1184:
1182:
1178:
1174:
1170:
1166:
1162:
1158:
1154:
1150:
1149:
1144:
1140:
1136:
1132:
1128:
1124:
1120:
1116:
1112:
1108:
1104:
1100:
1097:or 24 (12×2)
1096:
1092:
1088:
1084:
1080:
1079:civilizations
1076:
1075:units of time
1071:
1069:
1064:
1060:
1056:
1052:
1048:
1044:
1040:
1036:
1032:
1028:
1024:
1022:
1018:
1014:
1010:
1006:
1002:
998:
993:
990:
986:
985:Georges Ifrah
980:
978:
973:
972:
968:
966:
964:
960:
956:
952:
947:
908: (0.6),
889: (0.4),
870: (0.3),
850:
831:
822:
818:
814:
810:
806:
802:
797:
783:
778:
776:
772:
768:
764:
760:
756:
752:
749:
745:
741:
737:
725:
720:
718:
713:
711:
706:
705:
703:
702:
699:
696:
695:
688:
685:
683:
680:
678:
675:
673:
670:
668:
665:
663:
660:
658:
655:
651:
648:
646:
643:
641:
638:
637:
636:
635:Alphasyllabic
633:
631:
628:
626:
623:
622:
619:
616:
615:
611:
608:
606:
603:
601:
598:
596:
593:
591:
588:
586:
583:
581:
578:
576:
573:
571:
568:
566:
563:
561:
558:
556:
553:
552:
548:
547:
543:
537:
536:
523:
520:
517:
510:
507:
504:
503:
494:
491:
489:
486:
483:
476:
473:
470:
463:
460:
457:
450:
447:
446:
443:
440:
439:
434:
430:
428:
425:
423:
420:
418:
415:
413:
410:
408:
405:
403:
400:
398:
395:
393:
390:
388:
385:
383:
380:
378:
375:
374:
370:
369:
365:
358:
357:
349:
346:
344:
341:
340:
336:
335:
331:
328:
326:
323:
321:
318:
316:
313:
311:
308:
306:
303:
302:
299:
296:
295:
291:
288:
287:
284:
281:
280:
276:
273:
272:
268:Other systems
264:
263:
256:
253:
251:
250:Counting rods
248:
247:
243:
242:
238:
235:
233:
230:
228:
225:
223:
220:
216:
213:
212:
211:
208:
207:
203:
202:
194:
193:
186:
183:
181:
178:
176:
173:
171:
168:
166:
163:
161:
158:
156:
153:
151:
148:
146:
143:
142:
138:
135:
133:
130:
128:
125:
123:
120:
118:
115:
113:
110:
108:
105:
103:
100:
98:
95:
93:
90:
88:
85:
84:
80:
77:
75:
72:
71:
67:
61:
60:
54:
48:
47:
44:
40:
36:
32:
31:
26:
22:
8842:. Retrieved
8838:
8825:
8778:November 20,
8776:. Retrieved
8771:
8744:
8740:
8727:
8709:
8691:
8671:
8667:Bellos, Alex
8661:
8653:the original
8643:
8634:
8628:
8621:The Listener
8620:
8612:
8603:
8591:. Retrieved
8563:
8559:
8547:
8538:
8513:
8509:
8482:. Retrieved
8470:
8461:
8436:
8415:. p. 2.
8412:
8406:
8390:
8382:
8370:. Retrieved
8365:
8355:
8344:. Retrieved
8332:
8321:. Retrieved
8294:. Retrieved
8280:
8271:
8267:
8253:
8232:
8228:
8202:
8189:
8180:
8168:
8157:
8136:
8130:
8119:
8109:
8100:
8053:
8047:
8038:
8032:
8023:
8017:
8006:. Retrieved
7999:the original
7981:La Pluralité
7980:
7973:
7961:. Retrieved
7957:the original
7952:
7942:
7922:
7913:
7904:
7900:
7894:
7884:December 21,
7882:. Retrieved
7876:
7866:
7675:
7649:
7647:
7626:
7624:
7603:
7601:
7590:
7584:
7568:
7562:
7547:
7541:
7536:0414559B3931
7522:
7516:
7501:
7495:
7476:
7470:
7455:
7449:
7430:
7424:
7409:
7396:
7381:
7362:
7347:
7341:
7335:
7316:
7310:
7304:
7289:
7270:
7255:
7249:
7230:
7224:
7209:
7193:
7178:
7172:
7153:
7147:
7132:
7116:
7101:
7095:
7079:
7073:
7058:
7039:
7024:
7018:
6999:
6993:
6978:
6972:
6953:
6947:
6932:
6926:
6910:
6904:
6889:
6870:
6855:
6849:
6833:
6827:
6812:
6793:
6778:
6765:
6750:
6744:
6725:
6719:
6704:
6698:
6679:
6673:
6658:
6639:
6624:
6618:
6602:
6596:
6581:
6562:
6547:
6541:
6525:
6519:
6504:
6488:
6473:
6460:
6445:
6426:
6411:
6405:
6389:
6383:
6368:
6352:
6337:
6324:
6309:
6293:
6278:
6265:
6220:
6210:
6200:
6190:
6180:
6174:
6168:
6155:
6146:
6137:
6131:
6124:
6117:
6111:
6105:
6099:
6093:
6087:
6081:
6072:
6063:
6054:
6048:
6042:Decimal base
6041:
5997:1/(2) = 0.25
5984:
5944:
5942:
5930:
5892:
5885:
5855:
5853:
5669:
5597:
5495:
5440:
5410:
5405:
5399:
5366:
5364:, in a base
5360:
5357:
5236:
5073:
5054:
4717:
4528:
4505:
4497:
4489:
4481:
4473:
4465:
4452:
4444:
4436:
4428:
4420:
4412:
4399:
4391:
4383:
4375:
4367:
4359:
4346:
4338:
4330:
4322:
4314:
4306:
4296:
4288:
4280:
4272:
4264:
4256:
4243:
4235:
4227:
4219:
4211:
4203:
4190:
4182:
4174:
4166:
4158:
4150:
4137:
4129:
4121:
4113:
4105:
4097:
4084:
4076:
4068:
4060:
4052:
4044:
3984:
3976:
3968:
3960:
3952:
3944:
3931:
3923:
3915:
3907:
3899:
3889:
3879:
3871:
3863:
3855:
3847:
3839:
3826:
3818:
3810:
3802:
3794:
3786:
3773:
3765:
3757:
3749:
3741:
3733:
3723:
3715:
3707:
3699:
3691:
3683:
3670:
3662:
3654:
3646:
3638:
3630:
3617:
3609:
3601:
3593:
3585:
3577:
3567:
3559:
3551:
3543:
3535:
3527:
3514:
3506:
3498:
3490:
3482:
3474:
3461:
3453:
3445:
3437:
3429:
3421:
3367:(duodecimal)
3360:
3347:
3340:(duodecimal)
3332:
3329:
3321:(duodecimal)
3318:
3311:
3300:(duodecimal)
3293:
3281:
2732:
2731:
2728:
2698:
2694:power of two
2668:
2617:
2613:
2608:
2584:
2572:
2570:
2558:
2550:
2543:The Listener
2542:
2534:
2526:
2521:
2515:
2511:
2508:
2504:musical keys
2492:
2488:
2484:
2482:
2472:
2464:
2313:
2309:
2303:
2294:
2291:
2280:429,981,696
2266:0;000,000,1
2257:10,000,000;
2100:
2098:
2090:
2072:
2070:
2060:ecimal", "54
2057:
2053:
2034:
1980:Isaac Pitman
1945:
1907:
1903:
1899:
1892:
1883:
1876:
1869:
1860:
1777:by the DSA.
1746:
1716:
1712:
1711:Initials of
1662:
1624:Isaac Pitman
1605:
1582:
1557:
1555:
1549:
1543:
1523:
1519:
1513:
1501:
1497:
1475:
1460:\textturntwo
1431:Number Forms
1350:
1340:
1336:
1332:
1328:
1326:
1152:
1146:
1072:
1068:long hundred
1058:
1054:
1050:
1046:
1034:
1030:
1025:
1005:Gbiri-Niragu
994:
983:
974:
948:
829:
798:
779:
743:
739:
735:
733:
501:
462:Signed-digit
411:
337:Contemporary
204:Contemporary
8867:12 (number)
8807:"Resources"
8772:dozenal.org
8747:(1): 38–60.
7851:Sexagesimal
7787:In decimal
7701:In decimal
7053:06316948421
5726:. This has
5197:(2×2×5×5×5)
5065:radix point
4787:(one tenth)
4529:Duodecimal
4039:Duodecimal
2712:Babylonians
2704:Sexagesimal
2690:denominator
2684:, the only
2682:hexadecimal
2447:1,000,000;
2337:Duodecimal
2322:Duodecimal
2286:egro-bi-mo
2263:35,831,808
2240:1,000,000;
2124:Duodecimal
2109:Duodecimal
1984:Unicode 8.0
1900:New Numbers
1739:X from the
1692:hexadecimal
1672:Background
1658:Unicode 8.0
1514:New Numbers
1486:hexadecimal
1181:Charlemagne
1177:Irish pound
1131:great gross
1129:of 12), or
1099:Solar terms
1087:Babylonians
959:Sexagesimal
955:hexadecimal
849:terminating
817:reciprocals
782:hexadecimal
740:base twelve
640:Akṣarapallī
610:Tally marks
509:Non-integer
8856:Categories
8844:2018-07-17
8541:. 4E (2).
8484:2014-07-18
8464:. 49 (2).
8372:January 1,
8346:2014-07-18
8323:2016-05-30
8296:2024-06-25
8235:(1). 1945.
8205:. 49 (2).
8103:. 4X (2).
8008:2014-03-27
7858:References
5888:= 10 or 12
5291:is exact;
2724:primorials
2478:Vendergood
2456:0;000,001
2453:2,985,984
2277:gro-bi-mo
2269:edo-bi-mo
2249:0;000,001
2246:2,985,984
1771:D'Alembert
1015:; and the
809:subitizing
748:positional
736:duodecimal
677:Glagolitic
650:Kaṭapayādi
618:Alphabetic
522:Asymmetric
364:radix/base
305:Cistercian
290:Babylonian
237:Vietnamese
92:Devanagari
8839:quadibloc
7925:. Wiley.
7921:(2000) .
7853:(base 60)
7847:(base 20)
7845:Vigesimal
7686:algebraic
6256:Fraction
6233:Fraction
5704:×
5472:×
5254:×
5248:×
5085:×
4720:recurring
4531:fractions
4525:Fractions
3363:(decimal)
3361:That is,
3334:(decimal)
3327:24,677.5
3325:(decimal)
3319:That is,
3306:(decimal)
2708:Sumerians
2439:0;000,01
2430:100,000;
2342:Fraction
2260:do-bi-mo
2232:0;000,01
2223:100,000;
2129:Fraction
2077:semicolon
1950:1974–2008
1813:"eleven"
1169:vigesimal
1063:Old Norse
823:numbers (
765:; in the
645:Āryabhaṭa
590:Kharosthi
482:factorial
449:Bijective
350:(Iñupiaq)
180:Sundanese
175:Mongolian
122:Malayalam
25:Duodecimo
8826:Earth360
8593:27 April
7907:(1): 97.
7839:See also
7806:diameter
7402:0.03125
5972:rounding
5933:division
5237:Because
5074:Because
4925:= 0.625
4535:3-smooth
3949:228,096
3896:207,360
3844:186,624
3791:165,888
3738:145,152
3688:124,416
3635:103,680
2567:In media
2555:—
2539:—
2522:duodecim
2512:douzaine
2442:pentcia
2436:248,832
2433:pentqua
2425:quadcia
2422:0;000,1
2416:quadqua
2413:10,000;
2339:fraction
2332:Decimal
2235:egro-mo
2229:248,832
2215:0;000,1
2206:10,000;
2126:fraction
2119:Decimal
1888:rounded
1863:(1854).
1669:Symbols
1660:(2015).
1651:↋
1638:↊
1566:⟩
1562:⟨
1527:⟩
1517:⟨
1510:⟩
1506:⟨
1494:⟩
1490:⟨
1482:⟩
1478:⟨
1466:⟩
1458:⟨
1417:↋
1403:↊
1387:In
1290:scrupula
1284:scruples
1208:English
1192:Relative
1163:and the
1111:shilling
1077:in many
1059:two left
1055:one left
1013:Gwandara
997:Nigerian
963:5-smooth
821:3-smooth
672:Georgian
662:Cyrillic
630:Armenian
585:Etruscan
580:Egyptian
488:Negative
348:Kaktovik
343:Cherokee
320:Pentadic
244:Historic
227:Japanese
160:Javanese
150:Balinese
137:Dzongkha
102:Gurmukhi
97:Gujarati
35:a series
33:Part of
7963:May 29,
7878:Gizmodo
7804:to its
7711:√
7663:in the
7660:A252170
7640:in the
7637:A246489
7617:in the
7614:A246004
6771:0.0625
6221:27 (=31
6211:25 (=29
6201:1B (=23
6191:17 (=19
6181:15 (=17
6156:11 (=13
6031:= 0.046
5353:
5341:
5337:
5325:
5321:
5309:
5305:
5293:
5289:
5277:
5232:
5220:
5216:
5204:
5200:
5188:
5184:
5172:
5168:
5165:(2×2×5)
5156:
5152:
5140:
5136:
5133:(2×2×2)
5124:
5120:
5108:
5039:
5027:
5021:
5009:
5001:
4989:
4983:
4971:
4963:
4951:
4944:
4932:
4923:
4911:
4906:= 0.76
4904:
4892:
4869:
4857:
4847:
4835:
4825:
4813:
4803:
4791:
4781:
4769:
4760:
4748:
4739:
4727:
4712:
4700:
4696:
4684:
4678:
4666:
4662:
4650:
4644:
4632:
4626:
4614:
4608:
4596:
4590:
4578:
4572:
4560:
4554:
4542:
4470:44,100
4417:3A,368
4364:34,614
4311:2A,880
4261:24,B28
4208:1B,194
4155:15,440
3957:19,008
3904:17,280
3852:15,552
3799:13,824
3746:12,096
3696:10,368
3582:82,944
3532:62,208
3479:41,472
3426:20,736
2674:Sixteen
2459:hexcia
2450:hexqua
2419:20,736
2408:tricia
2399:triqua
2396:1,000;
2327:Number
2252:ebi-mo
2226:gro-mo
2218:edo-mo
2212:20,736
2187:1,000;
2114:Number
1986:(2015)
1930:sextile
1882:italic
1836:epsilon
1805:epsilon
1802:"ten";
1745:E from
1570:sextile
1560:used a
1484:(as in
1389:Unicode
1315:siliqua
1205:French
1200:Weight
1197:Length
1179:), and
1161:Ireland
1039:English
977:decimal
944:
929:
925:
910:
906:
891:
887:
872:
868:
853:
840:
826:
805:factors
771:squared
767:decimal
757:as its
746:, is a
744:dozenal
575:Chuvash
493:Complex
283:Ancient
275:History
222:Hokkien
210:Chinese
155:Burmese
145:Tibetan
132:Kannada
112:Sinhala
87:Bengali
8679:
8401:(pbk).
8397:
7991:
7929:
7682:repeat
7530:285714
7405:0;046
7244:5186A3
7238:571428
7205:0;054
7161:384615
6967:6A3518
6961:047619
6884:076B45
6693:A35186
6687:714285
6647:076923
6466:0.125
6440:186A35
6434:142857
6021:= 0.09
6011:= 0.16
5397:, the
5170:, and
4949:144 ×
4930:100 ×
4851:A35186
4764:186A35
4646:= 0;14
4628:= 0;16
4478:5,260
4466:90,000
4425:4,768
4413:80,000
4372:4,074
4360:70,000
4319:3,580
4307:60,000
4269:2,A88
4257:50,000
4216:2,394
4204:40,000
4163:1,8A0
4151:30,000
4110:1,1A8
4102:B,6A8
4098:20,000
4049:5,954
4045:10,000
4033:Duod.
4027:Duod.
4021:Duod.
4015:Duod.
4009:Duod.
3965:1,584
3945:B0,000
3912:1,440
3891:A0,000
3860:1,296
3840:90,000
3807:1,152
3787:80,000
3754:1,008
3734:70,000
3684:60,000
3643:8,640
3631:50,000
3590:6,912
3578:40,000
3540:5,184
3528:30,000
3487:3,456
3475:20,000
3434:1,728
3422:10,000
3413:Duod.
3407:Duod.
3401:Duod.
3395:Duod.
3389:Duod.
3383:Duod.
3369:7,189;
2700:Thirty
2664:senary
2658:, and
2638:, and
2561:(1962)
2489:either
2405:0;001
2402:1,728
2391:bicia
2382:biqua
2374:uncia
2365:unqua
2334:number
2324:number
2243:bi-mo
2209:do-mo
2198:0;001
2195:1,728
2121:number
2111:number
2046:twelve
1890:italic
1830:Greek
1810:ένδεκα
1792:Greek
1775:Buffon
1773:&
1747:Eleven
1717:Eleven
1690:As in
1648:
1646:U+218B
1635:
1633:U+218A
1539:open E
1535:italic
1502:Eleven
1429:Block
1414:
1412:U+218B
1400:
1398:U+218A
1367:
1214:Roman
1194:value
1155:. Pre-
1127:square
1083:zodiac
1051:twalif
1047:ainlif
1035:twelve
1031:eleven
969:Origin
843:where
755:twelve
753:using
687:Hebrew
657:Coptic
570:Brahmi
555:Aegean
512:
496:
478:
465:
452:
315:Muisca
255:Tangut
232:Korean
215:Suzhou
127:Telugu
8768:(PDF)
8737:(PDF)
8719:(PDF)
8701:(PDF)
8587:(PDF)
8556:(PDF)
8535:(PDF)
8506:(PDF)
8479:(PDF)
8458:(PDF)
8433:(PDF)
8341:(PDF)
8317:(PDF)
8290:(PDF)
8264:(PDF)
8225:(PDF)
8199:(PDF)
8177:(PDF)
8097:(PDF)
8002:(PDF)
7985:(PDF)
7596:1/30
7580:0;04
7558:1/36
7553:1/2B
7512:1/35
7507:1/2A
7466:1/34
7461:1/29
7420:1/33
7415:1/28
7392:1/32
7387:1/27
7358:1/31
7353:1/26
7300:1/30
7295:1/25
7266:1/29
7261:1/24
7220:1/28
7215:1/23
7189:1/27
7184:1/22
7143:1/26
7138:1/21
7122:0.04
7112:1/25
7107:1/20
7091:0;06
7085:0.041
7069:1/24
7064:1/1B
7035:1/23
7030:1/1A
6989:1/22
6984:1/19
6943:1/21
6938:1/18
6916:0.05
6900:1/20
6895:1/17
6866:1/19
6861:1/16
6845:0;08
6823:1/18
6818:1/15
6789:1/17
6784:1/14
6774:0;09
6761:1/16
6756:1/13
6715:1/15
6710:1/12
6669:1/14
6664:1/11
6635:1/13
6630:1/10
6592:1/12
6558:1/11
6515:1/10
6500:0;14
6469:0;16
6330:0.25
6001:= 0.3
5647:0.625
5041:= 64
5023:= 54
5003:= 90
4985:= 76
4965:= 90
4946:= 76
4871:= 0;0
4849:= 0;0
4783:= 0;1
4610:= 0;2
4592:= 0;3
4574:= 0;4
4556:= 0;6
4474:9,000
4421:8,000
4368:7,000
4315:6,000
4265:5,000
4212:4,000
4159:3,000
4106:2,000
4053:1,000
4036:Dec.
4030:Dec.
4024:Dec.
4018:Dec.
4012:Dec.
4006:Dec.
3953:B,000
3900:A,000
3884:0.75
3848:9,000
3795:8,000
3742:7,000
3692:6,000
3639:5,000
3586:4,000
3572:0.25
3536:3,000
3483:2,000
3430:1,000
3416:Dec.
3410:Dec.
3404:Dec.
3398:Dec.
3392:Dec.
3386:Dec.
2716:sixty
2692:is a
2678:octal
2670:Eight
2644:prime
2517:douze
2388:0;01
2379:100;
2344:name
2182:egro
2179:0;01
2168:100;
2131:name
1807:from
1796:from
1794:delta
1675:Note
1488:) or
1453:LaTeX
1305:point
1300:point
1273:ligne
1263:uncia
1258:ounce
1248:pouce
1238:libra
1233:pound
1148:ounce
1143:uncia
1119:gross
1115:dozen
1109:in a
1049:and *
1021:Nepal
1001:Janji
951:octal
845:a,b,c
775:cubed
763:units
682:Greek
667:Geʽez
625:Abjad
605:Roman
565:Aztec
560:Attic
475:Mixed
433:table
325:Quipu
310:Mayan
165:Khmer
117:Tamil
8780:2022
8677:ISBN
8595:2018
8566:(1).
8395:ISBN
8374:2018
7989:ISBN
7965:2011
7927:ISBN
7886:2013
7688:and
7665:OEIS
7642:OEIS
7619:OEIS
7574:0.02
7330:4972
7284:04B7
7236:0.03
6921:7249
6739:9724
6614:0;1
6608:0.08
6587:1/B
6553:1/A
6536:2497
6531:0.1
6510:1/9
6484:1/9
6479:1/8
6456:1/8
6451:1/7
6422:1/7
6417:1/6
6401:0;2
6379:1/6
6374:1/5
6363:2497
6358:0.2
6348:1/5
6343:1/4
6333:0;3
6320:1/4
6315:1/3
6305:0;4
6289:1/3
6284:1/2
6274:0;6
6271:0.5
6261:1/2
5883:for
5831:0.76
5307:and
5218:and
4909:1 ×
4890:1 ×
4873:9724
4827:= 0;
4805:= 0;
4785:2497
4762:= 0;
4743:2497
4741:= 0;
4512:9724
4486:630
4459:9724
4433:568
4406:4972
4380:4A4
4353:7249
4327:420
4301:0;6
4277:358
4250:4972
4224:294
4197:7249
4171:210
4144:2497
4118:148
4091:2497
4057:6B4
3989:0.91
3973:132
3920:120
3868:108
3778:0.58
3728:0.5
3704:864
3675:0.41
3651:720
3598:576
3548:432
3495:288
3466:0.08
3442:144
3371:7249
3357:7249
3353:7249
3344:7249
3271:100
2710:and
2680:and
2672:and
2385:144
2371:0;1
2362:10;
2352:one
2329:name
2312:and
2296:on.
2201:emo
2176:144
2163:edo
2149:10;
2139:one
2116:name
2064:= 64
2048:= 64
2040:= 64
1935:hash
1799:δέκα
1715:and
1643:and
1574:hash
1564:*, #
1508:τ, ε
1500:and
1492:T, E
1480:A, B
1437:Note
1310:seed
1278:line
1253:inch
1228:foot
1223:pied
1153:inch
1151:and
1139:cube
1135:1728
1103:troy
1057:and
1033:and
1009:Piti
759:base
734:The
330:Rumi
185:Thai
107:Odia
7528:0.0
7488:0;0
7482:0.0
7442:0;0
7328:0;0
7322:0.0
7242:0;0
7201:037
7165:0;0
7159:0.0
7011:0;0
7005:0.0
6965:0;0
6919:0;0
6839:0.0
6737:0;0
6731:0.0
6691:0;0
6685:0.0
6534:0;1
6395:0.1
5923:).
5797:144
5523:is
5318:500
5181:500
5030:576
5012:400
4992:810
4974:576
4510:0;A
4506:0.9
4494:76
4482:900
4453:0.8
4441:68
4429:800
4404:0;8
4400:0.7
4388:5A
4376:700
4347:0.6
4335:50
4323:600
4297:0.5
4285:42
4273:500
4244:0.4
4232:34
4220:400
4195:0;3
4191:0.3
4179:26
4167:300
4138:0.2
4126:18
4114:200
4089:0;1
4085:0.1
4065:84
4061:100
3985:0;B
3981:11
3961:B00
3936:0.8
3932:0;A
3928:10
3908:A00
3880:0;9
3856:900
3827:0;8
3815:96
3803:800
3774:0;7
3762:84
3750:700
3724:0;6
3712:72
3700:600
3671:0;5
3659:60
3647:500
3618:0;4
3606:48
3594:400
3568:0;3
3556:36
3544:300
3519:0.1
3515:0;2
3503:24
3491:200
3462:0;1
3450:12
3438:100
3235:10
3230:B0
3189:A0
3148:90
3107:80
3066:70
3025:60
2984:50
2943:40
2902:30
2861:20
2820:10
2779:10
2720:210
2368:12
2349:1;
2314:lev
2310:dec
2172:gro
2160:0;1
2157:12
2136:1;
2068:".
2050:ten
2036:"54
1940:On
1832:tau
1713:Ten
1498:Ten
1451:In
1296:12
1269:12
1244:12
1219:12
1175:or
1123:144
1037:in
1019:of
953:or
837:2·3
819:of
742:or
362:By
170:Lao
23:or
8858::
8837:.
8824:.
8770:.
8753:^
8745:63
8743:.
8739:.
8572:^
8564:61
8562:.
8558:.
8537:.
8522:^
8514:62
8512:.
8508:.
8493:^
8460:.
8445:^
8435:.
8421:^
8389:,
8364:.
8305:^
8270:.
8266:.
8241:^
8231:.
8227:.
8211:^
8201:.
8179:.
8144:^
8129:.
8118:.
8099:.
8062:^
7951:.
7905:21
7903:.
7875:.
7588:,
7566:,
7545:,
7534:0;
7520:,
7502:15
7499:,
7477:17
7474:,
7453:,
7438:03
7436:0.
7431:11
7428:,
7382:27
7374:0;
7368:0.
7363:31
7345:,
7339:,
7314:,
7308:,
7290:25
7282:0;
7276:0.
7271:29
7253:,
7228:,
7199:0.
7179:11
7176:,
7167:56
7154:13
7151:,
7125:0;
7099:,
7077:,
7059:1B
7051:0;
7045:0.
7040:23
7022:,
7007:45
7000:11
6997:,
6976:,
6959:0.
6951:,
6930:,
6908:,
6890:17
6882:0;
6876:0.
6871:19
6853:,
6831:,
6813:15
6805:0;
6799:0.
6794:17
6748:,
6723:,
6702:,
6677:,
6659:11
6653:0B
6651:0;
6645:0.
6640:13
6622:,
6600:,
6574:0;
6570:09
6568:0.
6563:11
6545:,
6523:,
6494:0.
6438:0;
6432:0.
6409:,
6387:,
6361:0;
6299:0.
6223:10
6218:,
6213:10
6208:,
6203:10
6198:,
6193:10
6188:,
6183:10
6178:,
6172:,
6158:10
6135:,
6118:31
6115:,
6112:29
6109:,
6106:23
6103:,
6100:19
6097:,
6094:17
6091:,
6088:13
6085:,
6073:11
6052:,
6033:12
6029:10
6023:12
6019:10
6013:12
6009:10
6003:12
5999:10
5961:13
5957:11
5955:,
5949:12
5945:do
5835:12
5785:12
5679:10
5651:10
5595:.
5504:10
5450:10
5302:20
5263:12
5149:20
5138:,
5094:10
4866:13
4844:12
4829:0B
4822:11
4709:12
4693:14
4659:10
4502:9
4490:90
4457:0;
4449:8
4437:80
4396:7
4384:70
4351:0;
4343:6
4331:60
4293:5
4281:50
4248:0;
4240:4
4228:40
4187:3
4175:30
4142:0;
4134:2
4122:20
4081:1
4073:A
4069:10
3969:B0
3916:A0
3876:9
3864:90
3831:0.
3823:8
3811:80
3770:7
3758:70
3720:6
3708:60
3667:5
3655:50
3622:0.
3614:4
3602:40
3564:3
3552:30
3511:2
3499:20
3458:1
3446:10
3338:=
3304:=
3268:B0
3265:A0
3262:90
3259:80
3256:70
3253:60
3250:50
3247:40
3244:30
3241:20
3238:10
3227:A1
3224:92
3221:83
3218:74
3215:65
3212:56
3209:47
3206:38
3203:29
3200:1A
3194:B
3186:92
3183:84
3180:76
3177:68
3174:5A
3171:50
3168:42
3165:34
3162:26
3159:18
3153:A
3145:83
3142:76
3139:69
3136:60
3133:53
3130:46
3127:39
3124:30
3121:23
3118:16
3112:9
3104:74
3101:68
3098:60
3095:54
3092:48
3089:40
3086:34
3083:28
3080:20
3077:14
3071:8
3063:65
3060:5A
3057:53
3054:48
3051:41
3048:36
3045:2B
3042:24
3039:19
3036:12
3030:7
3022:56
3019:50
3016:46
3013:40
3010:36
3007:30
3004:26
3001:20
2998:16
2995:10
2989:6
2981:47
2978:42
2975:39
2972:34
2969:2B
2966:26
2963:21
2960:18
2957:13
2948:5
2940:38
2937:34
2934:30
2931:28
2928:24
2925:20
2922:18
2919:14
2916:10
2907:4
2899:29
2896:26
2893:23
2890:20
2887:19
2884:16
2881:13
2878:10
2866:3
2858:1A
2855:18
2852:16
2849:14
2846:12
2843:10
2825:2
2784:1
2776:B
2773:A
2770:9
2767:8
2764:7
2761:6
2758:5
2755:4
2752:3
2749:2
2746:1
2743:×
2696:.
2660:10
2654:,
2650:,
2640:12
2634:,
2630:,
2626:,
2622:,
2524:.
2493:or
2355:1
2191:mo
2153:do
2142:1
2073:54
2042:10
2038:12
1834:,
1749:.
1743:;
1614:,
1603:.
1591:,
1553:.
1522:,
1462:,
1288:2
1282:2
1159:,
1137:,
1125:,
1117:,
1070:.
1003:,
957:.
427:60
422:20
417:16
412:12
407:10
37:on
8847:.
8828:.
8782:.
8721:.
8685:.
8623:.
8597:.
8516:.
8487:.
8376:.
8349:.
8326:.
8299:.
8272:3
8256:.
8233:1
8011:.
7967:.
7935:.
7888:.
7820:e
7797:π
7759:2
7753:5
7748:+
7745:1
7730:φ
7713:2
7667:)
7650:n
7644:)
7627:n
7621:)
7604:n
7591:3
7585:2
7576:7
7569:3
7563:2
7548:7
7542:5
7523:7
7517:5
7496:2
7471:2
7456:B
7450:3
7444:4
7425:3
7410:2
7397:2
7348:5
7342:3
7336:2
7324:3
7317:5
7311:3
7305:2
7256:7
7250:2
7231:7
7225:2
7210:3
7194:3
7173:2
7148:2
7133:5
7117:5
7102:3
7096:2
7087:6
7080:3
7074:2
7025:B
7019:2
7013:6
6994:2
6979:7
6973:3
6954:7
6948:3
6933:5
6927:2
6911:5
6905:2
6856:3
6850:2
6841:5
6834:3
6828:2
6779:2
6766:2
6751:5
6745:3
6733:6
6726:5
6720:3
6705:7
6699:2
6680:7
6674:2
6625:3
6619:2
6610:3
6603:3
6597:2
6582:B
6576:1
6548:5
6542:2
6526:5
6520:2
6505:3
6496:1
6489:3
6474:2
6461:2
6446:7
6427:7
6412:3
6406:2
6397:6
6390:3
6384:2
6369:5
6353:5
6338:2
6325:2
6310:3
6301:3
6294:3
6279:2
6266:2
6225:)
6215:)
6205:)
6195:)
6185:)
6175:7
6169:5
6160:)
6147:B
6138:3
6132:2
6082:7
6064:3
6055:5
6049:2
5987:2
5980:5
5976:3
5968:9
5909:2
5905:n
5893:n
5886:b
5868:n
5864:b
5840:.
5827:=
5822:8
5819:5
5794:=
5789:2
5764:)
5761:1
5758:+
5755:n
5752:(
5749:)
5746:1
5743:+
5740:n
5737:2
5734:(
5712:n
5708:3
5699:n
5696:2
5692:2
5688:=
5683:n
5656:.
5643:=
5638:8
5635:5
5611:8
5608:1
5581:2
5577:)
5573:1
5570:+
5567:n
5564:(
5561:=
5558:)
5555:1
5552:+
5549:n
5546:(
5543:)
5540:1
5537:+
5534:n
5531:(
5508:n
5480:n
5476:5
5467:n
5463:2
5459:=
5454:n
5423:n
5419:b
5406:b
5400:n
5383:n
5379:b
5367:b
5361:n
5350:7
5347:/
5344:1
5334:3
5331:/
5328:1
5315:/
5312:1
5299:/
5296:1
5286:8
5283:/
5280:1
5260:=
5257:3
5251:2
5245:2
5229:7
5226:/
5223:1
5213:3
5210:/
5207:1
5194:/
5191:1
5178:/
5175:1
5162:/
5159:1
5146:/
5143:1
5130:/
5127:1
5117:8
5114:/
5111:1
5091:=
5088:5
5082:2
5036:9
5033:/
5018:9
5015:/
4998:9
4995:/
4980:9
4977:/
4960:8
4957:/
4954:5
4941:8
4938:/
4935:5
4920:8
4917:/
4914:5
4901:8
4898:/
4895:5
4863:/
4860:1
4841:/
4838:1
4819:/
4816:1
4807:1
4800:B
4797:/
4794:1
4778:A
4775:/
4772:1
4757:7
4754:/
4751:1
4736:5
4733:/
4730:1
4706:/
4703:1
4690:/
4687:1
4675:A
4672:/
4669:1
4656:/
4653:1
4641:9
4638:/
4635:1
4623:8
4620:/
4617:1
4605:6
4602:/
4599:1
4587:4
4584:/
4581:1
4569:3
4566:/
4563:1
4551:2
4548:/
4545:1
4498:9
4445:8
4392:7
4339:6
4289:5
4236:4
4183:3
4130:2
4077:1
3991:6
3977:B
3938:3
3924:A
3872:9
3833:6
3819:8
3780:3
3766:7
3716:6
3677:6
3663:5
3624:3
3610:4
3560:3
3521:6
3507:2
3468:3
3454:1
3197:B
3156:A
3115:9
3074:8
3033:7
2992:6
2954:A
2951:5
2913:8
2910:4
2875:9
2872:6
2869:3
2840:A
2837:8
2834:6
2831:4
2828:2
2817:B
2814:A
2811:9
2808:8
2805:7
2802:6
2799:5
2796:4
2793:3
2790:2
2787:1
2656:5
2652:2
2648:1
2636:6
2632:4
2628:3
2624:2
2620:1
2101:e
2066:d
2062:z
2058:d
2054:z
1965:3
1958:2
1924:#
1917:*
1908:9
1906:–
1904:0
1893:Ɛ
1884:X
1877:Ɛ
1870:X
1850:∂
1845:W
1826:ε
1821:τ
1788:ε
1783:δ
1762:Z
1757:X
1735:E
1730:X
1707:E
1702:T
1686:B
1681:A
1617:3
1611:2
1568:(
1550:9
1547:–
1544:0
1524:Ɛ
1520:X
1370:3
1364:2
1341:n
1337:n
1333:n
1329:n
1133:(
1121:(
1045:*
941:4
938:/
935:3
931:+
922:3
919:/
916:2
912:+
903:2
900:/
897:1
893:+
884:3
881:/
878:1
874:+
865:4
862:/
859:1
855:+
834:/
830:a
793:3
787:2
723:e
716:t
709:v
518:)
516:φ
514:(
505:)
502:i
500:2
498:(
484:)
480:(
471:)
467:(
458:)
456:1
454:(
435:)
431:(
402:8
397:6
392:5
387:4
382:3
377:2
27:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.