Knowledge (XXG)

List of numeral systems

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2071: 1967: 2441: 2049: 746: 1255: 1250: 1245: 1240: 1235: 1230: 1225: 1220: 1215: 1207: 1202: 1197: 1192: 1187: 1182: 1177: 1172: 1167: 1828: 1159: 1154: 1149: 1144: 1139: 1134: 1129: 1124: 1119: 2383: 2378: 2373: 2368: 2363: 2358: 2353: 2348: 2343: 2338: 1111: 1106: 1101: 1096: 1091: 1086: 1081: 1076: 1071: 1766: 2333: 2328: 2323: 2318: 2313: 2308: 2303: 2298: 2293: 2288: 1063: 1058: 1053: 1048: 1043: 1038: 1033: 1028: 1023: 1000: 2489: 995: 990: 985: 980: 975: 970: 965: 960: 955: 1945: 1940: 1935: 1930: 1925: 1920: 1915: 1910: 1905: 1900: 1895: 1890: 1885: 1880: 1875: 1870: 1865: 1860: 1855: 1850: 803:, as it applies to all numerical notation systems (not just positional ones with a radix) and most systems of spoken numbers. Some systems have two bases, a smaller (subbase) and a larger (base); an example is Roman numerals, which are organized by fives (V=5, L=50, D=500, the subbase) and tens (X=10, C=100, M=1,000, the base). 3795:
encoding. This is the minimum number of characters needed to encode a 32 bit number into 5 printable characters in a process similar to MIME-64 encoding, since 85 is only slightly bigger than 2. Such method is 6.7% more efficient than MIME-64 which encodes a 24 bit number into 4 printable characters.
7467:
This article proposes the Unique Number Mapping as an identification scheme, that could replace the E.164 numbers, could be used both with PSTN and VoIP terminals and makes use of the elements of the ENUM technology and the hexatrigesimal number system. To have the shortest IDs, we should use the
7494:
Concord Numbers used in the categorisation of Luganda words encoded using either Hexatrigesimal or Duotrigesimal, standard positional numbering systems. We propose Hexatrigesimal system to capture numeric information exceeding 10 for adaptation purposes for other Bantu languages or other
7146:"The early origin of bar-and-dot numeration alongside the Middle Formative Mesoamerican scripts, the quinary-vigesimal structure of the system, and the general increase in the frequency and complexity of numeral expressions over time all point to its indigenous development.". 7250:
2) the hexadecimal output of the hash function is converted to hexavigesimal (base-26); 3) letters in the hexavigesimal number are capitalized, while all numerals are left unchanged; 4) the order of the characters is reversed so that the hexavigesimal digits appear
7128:. This is most frequent. The Greenland Eskimo says 'other hand two' for 7, 'first foot two' for 12, 'other foot two' for 17, and similar combinations to 20, 'man ended.' The Unalit is also quinary to twenty, which is 'man completed.' ... 7084:
A student of the American Indian languages is naturally led to investigate the wide-spread use of the quinary-vigesimal system of counting which he meets in the whole territory from Alaska along the Pacific Coast to the Orinoco and the
7208:
There's even a hexavigesimal digital code—our own twenty-six symbol variant of the ancient Latin alphabet, which the Romans derived in turn from the quadravigesimal version used by the ancient Greeks.
6627: 4593: 4559: 5301: 5269: 4847: 4818: 4782: 4753: 4720: 4691: 5575: 5487: 5458: 5422: 5396: 5363: 5334: 5234: 5205: 4386: 4357: 4967: 4941: 4908: 4881: 4461: 4427: 5168: 5136: 5101: 5070: 5036: 5005: 5751: 5722: 4518: 4493: 5690: 3753:
by using the 26 letters of the Latin alphabet in both upper and lower case (52 total) plus 10 numerals (62 total) and then adding two special characters (+ and /).
6014: 5649: 5612: 3645:
Covers the digits and letters assigned to base 62 apart from the basic vowel letters; similar to base 26 but distinguishing upper- and lower-case letters.
3840: 2248: 3579:
computers. The character set is a subset of ASCII consisting of space, upper case letters, the punctuation marks "$ ", ".", and "%", and the numerals.
729: 6943:... unodecimal, duodecimal, tridecimal, quadrodecimal, pentadecimal, heptadecimal, octodecimal, nona decimal, vigesimal and further are discussed... 3590: 3439: 7726: 4046: 449: 7341:
Grannis, Shaun J.; Overhage, J. Marc; McDonald, Clement J. (2002), "Analysis of identifier performance using a deterministic linkage algorithm",
7201: 7114: 6222: 3867:
Smallest base which is not perfect odd power (where generalized Wagstaff numbers can be factored algebraically) for which no generalized
7106: 6051: 6008: 2882: 282: 7708: 7452: 7389: 6755: 6656: 2475: 7609: 2460:
Please help improve this article by looking for better, more reliable sources. Unreliable citations may be challenged and removed.
799:(B multiplied by itself some number of times) are specially designated within a numerical system." The term is not equivalent to 927: 918: 915: 909: 73: 7614: 5960: 3324:
for alphabetic data such as personal names, to provide a concise encoding of alphabetic strings, or as the basis for a form of
7665: 7277:
Saxe, Geoffrey B.; Moylan, Thomas (1982). "The development of measurement operations among the Oksapmin of Papua New Guinea".
6758:, John Wiley and Sons Inc., New York, 2000. Translated from the French by David Bellos, E.F. Harding, Sophie Wood and Ian Monk 2524:, in some cases including roots from both languages within a single name. There have been some proposals for standardisation. 924: 921: 912: 906: 516: 6770:"The curious idea that Māori once counted by elevens, and the insights it still holds for cross-cultural numerical research" 7170:. Pacific Linguistics C-38. Canberra: Research School of Pacific Studies, Australian National University. pp. 219–233. 7805: 6019: 3576: 2560: 722: 297: 2454: 642: 652: 5976: 4146: 3604: 469: 3182:
numerals – "wide-spread... in the whole territory from Alaska along the Pacific Coast to the Orinoco and the Amazon"
2881:
to settle a dispute between those proposing a shift to duodecimal and those who were content with decimal. Used as a
2449: 6675: 6671: 6206: 5970: 4647: 3175: 1289: 529: 7468:
greatest possible number system, which is the hexatrigesimal. Here the place values correspond to powers of 36...
5658: 5587: 4391: 3179: 2794: 2711: 2675: 759: 625: 394: 2070: 7800: 3700: 3510:
Covers the ten decimal digits and all letters of the English alphabet, apart from not distinguishing 0 from O.
1966: 823: 763: 745: 715: 42: 30: 7041: 6715: 5912: 3822: 3320:
languages. Mapping the nonzero digits to the alphabet and zero to the space is occasionally used to provide
2981: 1702: 1661: 1433: 489: 86: 6855: 5965: 4972: 3807: 3329: 2831: 2790: 2622: 2440: 1280: 389: 305: 6769: 6435:"Preliminary proposal for encoding the Medefaidrin (Oberi Okaime) script in the SMP of the UCS (Revised)" 6154: 7193: 4320: 2908: 2786: 2750: 507: 7431:
Gódor, Balázs (2006). "World-wide user identification in seven characters with unique number mapping".
4566: 4532: 7221: 7745: 7168:
New Guinea Area Languages and Language Study, I: Papuan Languages and the New Guinea Linguistic Scene
6924: 5276: 5244: 5173: 4132: 4119: 4103: 4076: 4053: 3159: 2501: 2497: 2119: 1756: 602: 463: 456: 337: 6331:"The invention, transmission and evolution of writing: Insights from the new scripts of West Africa" 4825: 4796: 4760: 4731: 4698: 4669: 5996: 5988: 5832: 5550: 4294: 3764: 3688: 3163: 2798: 2707: 2680: 2420: 1818: 1720: 1679: 1487: 1377: 1300: 1285: 945: 684: 549: 500: 312: 244: 99: 60: 6520: 5465: 5436: 5403: 5377: 5341: 5312: 5212: 5183: 4364: 4335: 2885:
for 10-digit ISBNs. Applications in computer science and technology. Featured in popular fiction.
1254: 1249: 1244: 1239: 1234: 1229: 1224: 1219: 1214: 29:
For different types of numbers, such as rational numbers, real numbers, complex numbers, etc, see
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Can be notated with the digits 0–9 and the cased letters A–Z and a–z of the English alphabet.
3692: 3354: 3309: 3225: 3167: 3124: 2916: 2878: 2715: 2278: 2048: 2039: 1738: 1568: 1542: 1383: 1272: 1158: 1153: 1148: 1143: 1138: 1133: 1128: 1123: 1118: 890: 873: 679: 669: 657: 637: 592: 587: 523: 355: 327: 234: 167: 157: 144: 109: 104: 7700: 7098: 6646: 7753: 7724:
Ward, Rachel (2008), "On Robustness Properties of Beta Encoders and Golden Ratio Encoders",
7440: 7435:
Networks 2006: 12th International Telecommunications Network Strategy and Planning Symposium
7346: 7286: 7233: 7185: 7055: 6932: 6867: 6821: 6781: 6086: 4859: 4188: 4183: 3779: 3540: 3526: 3305: 3292: 3140: 3128: 2920: 2019: 1780: 1640: 1425: 1407: 1371: 1268: 582: 476: 229: 217: 162: 152: 119: 94: 6477: 6434: 5672: 2382: 2377: 2372: 2367: 2362: 2357: 2352: 2347: 2342: 2337: 1110: 1105: 1100: 1095: 1090: 1085: 1080: 1075: 1070: 7406: 6563: 6498: 6391: 5634: 4265: 3313: 3265: 3252: 3116: 3108: 3104: 3100: 2996: 2771: 2699: 2332: 2327: 2322: 2317: 2312: 2307: 2302: 2297: 2292: 2287: 1979: 1957: 1798: 1524: 1362: 1338: 1276: 1012: 694: 664: 607: 577: 562: 322: 290: 262: 239: 222: 81: 2862: 1062: 1057: 1052: 1047: 1042: 1037: 1032: 1027: 1022: 674: 7749: 6928: 6478:"Clear Language: Script, Register And The N'ko Movement Of Manding-Speaking West Africa" 6105: 3675:
Covers base 62 apart from 0 (zero), I (capital i), O (capital o) and l (lower case L).
3520: 1683: 7351: 7290: 7159: 6871: 6687: 6150: 6045: 6024: 5992: 5955: 5597: 4032: 3868: 3716: 3696: 3425: 3390: 3261: 3242: 3238: 3120: 3112: 2960: 2948: 2904: 2806: 2746: 2703: 2571: 2556: 2549: 2521: 2238: 2173: 2137: 2002: 1622: 1586: 1449: 1413: 1389: 1320: 776: 772: 689: 632: 612: 567: 440: 172: 139: 124: 50: 7644: 7313: 3286: 7794: 7327: 6747: 6731: 6036: 5761: 5617: 5519: 5368: 4913: 4598: 4466: 3947: 3943: 3317: 3257: 3171: 3132: 3019: 2940: 2912: 2802: 2742: 2663: 2603: 2599: 2583: 2544: 2083: 1840: 1604: 1419: 1401: 856: 495: 384: 317: 257: 192: 134: 114: 7765: 7693: 7462: 3946:(where generalized repunits can be factored algebraically) for which no generalized 7669: 7163: 7120: 7079: 6913:"Subtraction in Traditional and Strange Number System by r's and r-1's Compliments" 6330: 5547: 5512: 5499: 3568: 3049: 3041: 3004: 3000: 2936: 2493: 2260: 2191: 2101: 1827: 1506: 840: 647: 572: 6886: 6744:
The Universal History of Numbers: From prehistory to the invention of the computer
7619: 7237: 7004: 5924: 5905: 4638: 4621: 4326: 4261: 4124: 3854: 3683: 3037: 3030: 2952: 2866: 2719: 2650: 2646: 2607: 2513: 2505: 2155: 1765: 617: 482: 434: 424: 7444: 7433: 6280: 6090: 5930: 5492: 4787: 4617: 4611: 4136: 4128: 4089: 3554: 2893: 2627: 2611: 2595: 419: 177: 7582: 6786: 6499:"Consideration of the encoding of Garay with updated user feedback (revised)" 7757: 7555: 7411: 7075: 6992: 6584: 6541: 6412: 6369: 6077:
Chrisomalis, Stephen (2004). "A cognitive typology for numerical notation".
3635:
computers. Encoding using all Gurmukhi characters plus the Gurmukhi digits.
3572: 3154: 3095: 2855: 2762: 2684: 2552: 1469: 429: 7784:
Chrisomalis calls the Babylonian system "the first positional system ever".
7360: 7245: 6455: 6348: 6305: 6178: 999: 7534: 6887:"Realistic Approach of Strange Number System from Unodecimal to Vigesimal" 6258:[Wu Zetian invented Chinese capital numbers to fight corruption]. 3631:
encoding used to compactly represent file names and other symbols on some
3452:
Using all numbers and all letters except I and O; the smallest base where
2488: 994: 989: 984: 979: 974: 969: 964: 959: 954: 4093: 3325: 3321: 3136: 2968: 2874: 2738: 2635: 6039: – Number of digits needed to express a number in a particular base 7298: 7042:"The Quinary-Vigesimal System of Counting in Europe, Asia, and America" 6937: 6912: 6833: 6113: 5427: 4852: 3826: 3792: 3744: 3515: 3414: 3150: 2900: 2841: 2810: 2733: 2694: 780: 753: 414: 399: 17: 7377:
Visual Basic Algorithms: A Developer's Sourcebook of Ready-to-run Code
7067: 6809: 6564:"Revised proposal for encoding the Adlam script in the SMP of the UCS" 3719:; covers base 62 apart from I, O, and l, but including _(underscore). 7587: 7560: 7512: 7263: 6104:
Glass, Andrew; Baums, Stefan; Salomon, Richard (September 18, 2003).
3736: 3724: 3712: 3708: 3628: 3575:
encoding used to compactly represent file names and other symbols on
3419: 3291:
Sometimes used for encryption or ciphering, using all letters in the
2870: 2821: 2729: 2638: 2579: 2567: 2563: 2500:
to express binary values. In this clock, each column of LEDs shows a
2163:𖺀 𖺁/𖺔 𖺂/𖺕 𖺃/𖺖 𖺄 𖺅 𖺆 𖺇 𖺈 𖺉 𖺊 𖺋 𖺌 𖺍 𖺎 𖺏 𖺐 𖺑 𖺒 𖺓 1983: 404: 7507: 7481: 6825: 7632:
Thanks to Satoshi Nakamoto for inventing the Base58 encoding format
7103:
Sherlock Holmes in Babylon: And Other Tales of Mathematical History
7059: 5939:{60, 60, 24, 30 (or 31 or 28 or 29), 12, 10, 10, 10} in timekeeping 3665:
Covers base 62 apart from I, O, l, U, and u, or I, 1, l, 0, and O.
1944: 1939: 1934: 1929: 1924: 1919: 1914: 1909: 1904: 1899: 7740: 6030: 4523: 4036: 3750: 3045: 2964: 2944: 2932: 2924: 2825: 2781: 2642: 2587: 2517: 2487: 2424: 1894: 1889: 1884: 1879: 1874: 1869: 1864: 1859: 1854: 1849: 800: 409: 371: 332: 2423:(also known as place-value notation), and further categorized by 6894:
International Journal of Computer Science and Telecommunications
4109: 3704: 2956: 2767: 2654: 2591: 2575: 3763:
The smallest base greater than binary such that no three-digit
6521:"Proposal for encoding the Garay script in the SMP of the UCS" 6392:"Proposal for encoding the Mende script in the SMP of the UCS" 3632: 2434: 1806: 5991:
are non-positional, as are many developed later, such as the
5973:
optimized for non-uniform probability distribution of symbols
5918:
Even double factorial number system {2, 4, 6, 8, 10, 12, ...}
7020: 7018: 7016: 7014: 6953: 6951: 2387:𝋀 𝋁 𝋂 𝋃 𝋄 𝋅 𝋆 𝋇 𝋈 𝋉 𝋊 𝋋 𝋌 𝋍 𝋎 𝋏 𝋐 𝋑 𝋒 𝋓 1764: 7486:
International Journal on Natural Language Computing (IJNLC)
7264:"Base 26 Cipher (Number ⬌ Words) - Online Decoder, Encoder" 7162:(1975). "Observations on Number Systems and Semantics". In 7101:. In Anderson, Marlow; Katz, Victor; Wilson, Robin (eds.). 6106:"Proposal to Encode Kharoṣ ṭhī in Plane 1 of ISO/IEC 10646" 5921:
Odd double factorial number system {1, 3, 5, 7, 9, 11, ...}
5662: 5624: 2419:
Numeral systems are classified here as to whether they use
7222:"A nomenclature for sequence-based forensic DNA analysis" 6324: 6322: 7480:
Balagadde, Robert Ssali; Premchand, Parvataneni (2016).
1630:غ ظ ض ذ خ ث ت ش ر ق ص ف ع س ن م ل ك ي ط ح ز و هـ د ج ب ا 7154: 7152: 6976: 6974: 6972: 6970: 6968: 6966: 6130:"Proposal to add two numbers for the Phoenician script" 6041:
Pages displaying short descriptions of redirect targets
1495:𐤙 𐤘 𐤗 𐤛𐤛𐤛 𐤛𐤛𐤚 𐤛𐤛𐤖 𐤛𐤛 𐤛𐤚 𐤛𐤖 𐤛 𐤚 𐤖 6633:(in Indonesian). Pemerintah Provinsi Jawa Barat. 2008. 6607:"Exploratory proposal to encode the Kaktovik numerals" 2999:
9100A/B calculator and image processing applications;
6027: – Prefix derived from numerals or other numbers 5732: 5703: 5675: 5637: 5600: 5553: 5468: 5439: 5406: 5380: 5344: 5315: 5279: 5247: 5215: 5186: 5147: 5115: 5080: 5049: 5015: 4984: 4951: 4925: 4892: 4865: 4828: 4799: 4763: 4734: 4701: 4672: 4569: 4535: 4503: 4478: 4437: 4403: 4367: 4338: 3539:
Covers the ten decimal digits and all letters of the
3525:
Covers the ten decimal digits and all letters of the
3829:
numbers (111 in base 90 = 1111111111111 in base 2).
898: 6643:For the mixed roots of the word "hexadecimal", see 2877:) in the 20th century. Briefly proposed during the 2029:𑇤 𑇥 𑇦 𑇧 𑇨 𑇩 𑇪 𑇫 𑇬 𑇭 𑇮 𑇯 𑇰 𑇱 𑇲 𑇳 𑇴 7692: 7432: 7220:Young, Brian; Faris, Tom; Armogida, Luigi (2019). 5942:(12, 20) traditional English monetary system (£sd) 5745: 5716: 5684: 5643: 5606: 5569: 5481: 5452: 5416: 5390: 5357: 5328: 5295: 5263: 5228: 5199: 5162: 5130: 5095: 5064: 5030: 4999: 4961: 4935: 4902: 4875: 4841: 4812: 4776: 4747: 4714: 4685: 4587: 4553: 4512: 4487: 4455: 4421: 4380: 4351: 6072: 6070: 6068: 4012:Number expressible with two pentadecimal digits. 3960:Number expressible with two tetradecimal digits. 2809:, compact notation for binary numbers, Xiantian ( 3557:digits and all letters of the English alphabet. 3278:Sometimes used as compact notation for quinary. 6573:. Unicode Consortium. L2/L14-219R (WG2 N4628R). 5987:All known numeral systems developed before the 3932:Number expressible with two tridecimal digits. 3922:Number expressible with two duodecimal digits. 3438:Use of letters (except I, O, Q) with digits in 7099:"Number Systems of the North American Indians" 6917:International Journal of Computer Applications 6651:(4th ed.), Cengage Learning, p. 91, 6401:. Unicode Consortium. L2/11-301R (WG2 N4133R). 3902:Number expressible with three quinary digits. 3892:Number expressible with two undecimal digits. 2861:A base-11 number system was attributed to the 7005:"Image processor and image processing method" 6885:Das, Debasis; Lanjewar, U.A. (January 2012). 6530:. Unicode Consortium. L2/L16-069 (WG2 N4709). 4022:Number expressible with eight binary digits. 3853:Total number of character codes in the (six) 3357:, this is the smallest base such that all of 723: 8: 7482:"The Structured Compact Tag-Set for Luganda" 6139:. Unicode Consortium. L2/07-206 (WG2 N3284). 6033: – Number of digits of a numeral system 7777: 7139: 7024: 6957: 6237: 2847:Most widely used by contemporary societies 7179: 7177: 6911:Rawat, Saurabh; Sah, Anushree (May 2013). 6718:, 200pp, Rand McNally & Company, 1925. 6281:"Burmese/Myanmar script and pronunciation" 6015:History of the Hindu–Arabic numeral system 2069: 2047: 1965: 1826: 1253: 1248: 1243: 1238: 1233: 1228: 1223: 1218: 1213: 1205: 1200: 1195: 1190: 1185: 1180: 1175: 1170: 1165: 1157: 1152: 1147: 1142: 1137: 1132: 1127: 1122: 1117: 1109: 1104: 1099: 1094: 1089: 1084: 1079: 1074: 1069: 1061: 1056: 1051: 1046: 1041: 1036: 1031: 1026: 1021: 902: 805: 730: 716: 66: 37: 7739: 7350: 7232:. Forensic Science International: 14–20. 7097:Eells, Walter Crosby (October 14, 2004). 6936: 6785: 6202:Numerical Notation: A Comparative History 6199:Chrisomalis, Stephen (January 18, 2010). 6156:A History Of Mathematical Notations Vol I 5737: 5731: 5708: 5702: 5674: 5636: 5599: 5560: 5552: 5472: 5467: 5443: 5438: 5407: 5405: 5381: 5379: 5348: 5343: 5319: 5314: 5283: 5278: 5251: 5246: 5219: 5214: 5190: 5185: 5153: 5148: 5146: 5121: 5116: 5114: 5086: 5081: 5079: 5055: 5050: 5048: 5021: 5016: 5014: 4990: 4985: 4983: 4952: 4950: 4926: 4924: 4893: 4891: 4866: 4864: 4829: 4827: 4800: 4798: 4764: 4762: 4735: 4733: 4702: 4700: 4673: 4671: 4578: 4573: 4568: 4544: 4539: 4534: 4502: 4477: 4446: 4441: 4436: 4412: 4407: 4402: 4371: 4366: 4342: 4337: 4139:and the uncovering of "hidden" messages. 3882:As 100=10, these are two decimal digits. 3192:The smallest base in which all fractions 2476:Learn how and when to remove this message 6980: 5769: 5367:a negative non-integer base, related to 4652: 4299: 4151: 4058: 3440:vehicle registration plates of Hong Kong 2526: 766: instead of the intended characters. 7727:IEEE Transactions on Information Theory 7035: 7033: 6900:(1). London: Sysbase Solution Ltd.: 13. 6064: 5995:. The French Cistercian monks created 4047:Non-standard positional numeral systems 3749:This system is conveniently coded into 2634:be represented in ternary with no 1s); 764:question marks, boxes, or other symbols 49: 7040:Nykl, Alois Richard (September 1926). 6672:Multiplication Tables of Various Bases 6648:Discrete Mathematics with Applications 6628:"Direktori Aksara Sunda untuk Unicode" 6476:Donaldson, Coleman (January 1, 2017). 5933:number system {1, 2, 3, 5, 8, 13, ...} 4620:fractal shape, related to base −4 and 3970:Smallest base such that all fractions 2718:languages; common count grouping e.g. 6562:Everson, Michael (October 28, 2014). 6390:Everson, Michael (October 21, 2011). 5305:a negative rational non-integer base 7: 7407:"Base 27: the key to a new gematria" 6674:, p. 45, Michael Thomas de Vlieger, 6605:Silvia, Eduardo (February 9, 2020). 6159:. The Open Court Company. p. 18 6011: – Symbols representing numbers 1068:𐄐 𐄑 𐄒 𐄓 𐄔 𐄕 𐄖 𐄗 𐄘  ( 1020:𐄇 𐄈 𐄉 𐄊 𐄋 𐄌 𐄍 𐄎 𐄏  ( 7618:. November 27, 2019. Archived from 7107:Mathematical Association of America 6856:"Non-binary error correction codes" 6585:"Kaktovik Numerals (Unicode block)" 6519:Everson, Michael (March 22, 2016). 6433:Rovenchak, Andrij (July 17, 2015). 6052:Timeline of numerals and arithmetic 3018:Telephony routing over IP, and the 2431:Standard positional numeral systems 1212:𐄫 𐄬 𐄭 𐄮 𐄯 𐄰 𐄱 𐄲 𐄳  ( 1164:𐄢 𐄣 𐄤 𐄥 𐄦 𐄧 𐄨 𐄩 𐄪  ( 1116:𐄙 𐄚 𐄛 𐄜 𐄝 𐄞 𐄟 𐄠 𐄡  ( 7291:10.1111/j.1467-8624.1982.tb04161.x 6872:10.1002/j.1538-7305.1957.tb01514.x 6128:Everson, Michael (July 25, 2007). 6009:History of ancient numeral systems 25: 6993:HP 9100A/B programming, HP Museum 6774:Journal of the Polynesian Society 6728:Histoire universelle des chiffres 4588:{\displaystyle \omega {\sqrt{2}}} 4554:{\displaystyle \omega {\sqrt{2}}} 3857:containing printable characters. 7190:The Best Technology Writing 2010 6854:Ulrich, Werner (November 1957). 6616:. Unicode Consortium. L2/20-070. 6079:Cambridge Archaeological Journal 3617:Compact notation for septenary. 2439: 2381: 2376: 2371: 2366: 2361: 2356: 2351: 2346: 2341: 2336: 2331: 2326: 2321: 2316: 2311: 2306: 2301: 2296: 2291: 2286: 2246: 1943: 1938: 1933: 1928: 1923: 1918: 1913: 1908: 1903: 1898: 1893: 1888: 1883: 1878: 1873: 1868: 1863: 1858: 1853: 1848: 998: 993: 988: 983: 978: 973: 968: 963: 958: 953: 744: 7699:. Simon and Schuster. pp.  7615:Internet Engineering Task Force 6810:"Duodecimal base of numeration" 6768:Overmann, Karenleigh A (2020). 6444:. Unicode Consortium. L2/L2015. 6370:"Mende Kikakui (Unicode block)" 5961:Redundant binary representation 5296:{\displaystyle -{\frac {3}{2}}} 5264:{\displaystyle -{\frac {3}{2}}} 752:This article contains uncommon 7374:Stephens, Kenneth Rod (1996), 6254:Guo, Xianghe (July 27, 2009). 5936:{60, 60, 24, 7} in timekeeping 4842:{\displaystyle {\frac {5}{2}}} 4813:{\displaystyle {\frac {5}{2}}} 4777:{\displaystyle {\frac {4}{3}}} 4748:{\displaystyle {\frac {4}{3}}} 4715:{\displaystyle {\frac {3}{2}}} 4686:{\displaystyle {\frac {3}{2}}} 4135:as part of his obsession with 3500:have periods of 4 or shorter. 2992:Quattuordecimal, quadrodecimal 2869:) in the 19th century and the 2268:𞥙 𞥘 𞥗 𞥖 𞥕 𞥔 𞥓 𞥒 𞥑 𞥐 1: 6860:Bell System Technical Journal 6592:Unicode Character Code Charts 6549:Unicode Character Code Charts 6506:Unicode Character Code Charts 6463:Unicode Character Code Charts 6420:Unicode Character Code Charts 6413:"Medefaidrin (Unicode block)" 6377:Unicode Character Code Charts 6356:Unicode Character Code Charts 6313:Unicode Character Code Charts 6186:Unicode Character Code Charts 6020:List of numeral system topics 5945:(20, 18, 13) Maya timekeeping 5570:{\displaystyle 1+{\sqrt {2}}} 3942:Smallest base which is not a 3577:Digital Equipment Corporation 2657:and teaspoon-tablespoon-shot 2512:The common names are derived 2145:𐒠 𐒡 𐒢 𐒣 𐒤 𐒥 𐒦 𐒧 𐒨 𐒩 1807:𘈩 𗍫 𘕕 𗥃 𗏁 𗤁 𗒹 𘉋 𗢭 𗰗 1514:𝍠 𝍡 𝍢 𝍣 𝍤 𝍥 𝍦 𝍧 𝍨 𝍩 7610:"The Base58 Encoding Scheme" 7238:10.1016/j.fsigen.2019.06.001 5482:{\displaystyle 2{\sqrt {3}}} 5453:{\displaystyle 2{\sqrt {3}}} 5417:{\displaystyle {\sqrt {10}}} 5391:{\displaystyle {\sqrt {10}}} 5358:{\displaystyle -{\sqrt {2}}} 5329:{\displaystyle -{\sqrt {2}}} 5229:{\displaystyle 2{\sqrt {2}}} 5200:{\displaystyle 2{\sqrt {2}}} 4724:a rational non-integer base 4381:{\displaystyle i{\sqrt {2}}} 4352:{\displaystyle i{\sqrt {2}}} 3605:generalized Wieferich primes 2915:, and the Nimbia dialect of 2027:෦ ෧ ෨ ෩ ෪ ෫ ෬ ෭ ෮ ෯ 𑇡 𑇢 𑇣 1692:𠬠 𠄩 𠀧 𦊚 𠄼 𦒹 𦉱 𠔭 𠃩 1651:零壹贰叁肆伍陆柒捌玖拾佰仟萬億 (S. Chinese) 1649:零壹貳參肆伍陸柒捌玖拾佰仟萬億 (T. Chinese) 1563:15th Century (Modern Style) 1459:ο Αʹ Βʹ Γʹ Δʹ Εʹ Ϛʹ Ζʹ Ηʹ Θʹ 795:is a natural number B whose 7343:Proceedings. AMIA Symposium 7314:"Безымянный палец • Задачи" 6048:– 0 to 1296 in base 2 to 36 5977:Combinatorial number system 5866:the same as triadic number 4962:{\displaystyle {\sqrt {3}}} 4936:{\displaystyle {\sqrt {3}}} 4903:{\displaystyle {\sqrt {2}}} 4876:{\displaystyle {\sqrt {2}}} 4456:{\displaystyle i{\sqrt{2}}} 4422:{\displaystyle i{\sqrt{2}}} 4147:Signed-digit representation 3806:Largest base for which all 3603:Smallest base for which no 3589:Largest base for which all 3389:terminate, a number n is a 3060:Septendecimal, heptadecimal 2770:timekeeping, Western music 2504:numeral of the traditional 2127:𞣏 𞣎 𞣍 𞣌 𞣋 𞣊 𞣉 𞣈 𞣇 7822: 7445:10.1109/NETWKS.2006.300409 6676:Dozenal Society of America 6207:Cambridge University Press 6179:"Ethiopic (Unicode block)" 5971:Asymmetric numeral systems 5966:Hereditary base-n notation 5855:the same as dyadic number 5810:the same as dyadic number 5163:{\displaystyle {\sqrt{2}}} 5131:{\displaystyle {\sqrt{2}}} 5096:{\displaystyle {\sqrt{2}}} 5065:{\displaystyle {\sqrt{2}}} 5031:{\displaystyle {\sqrt{2}}} 5000:{\displaystyle {\sqrt{2}}} 3085:Undevicesimal, nonadecimal 2927:, and the Mahl dialect of 1655:late 7th/early 8th Century 1305:〇一二三四五六七八九十百千万亿 (Default, 1299:零一二三四五六七八九十百千萬億 (Default, 450:Non-standard radices/bases 28: 6712:The History of Arithmetic 6688:"Definition of SEPTENARY" 6091:10.1017/S0959774304000034 5997:their own numeral system. 5927:{2, 3, 5, 7, 11, 13, ...} 5174:12-tone equal temperament 3033:, sexadecimal, sedecimal 3015:Quindecimal, pentadecimal 818:Approx. First Appearance 771:There are many different 7495:agglutinative languages. 7184:Dibbell, Julian (2010). 6787:10.15286/jps.129.1.59-84 5746:{\displaystyle e^{\pi }} 5717:{\displaystyle e^{\pi }} 4513:{\displaystyle 2\omega } 4488:{\displaystyle 2\omega } 1477:𐩇 𐩆 𐩅 𐩄 𐩃 𐩂 𐩁 𐩀 824:Proto-cuneiform numerals 787:By culture / time period 31:List of types of numbers 7758:10.1109/TIT.2008.928235 7666:"base95 Numeric System" 7331:, 1992, issue 3, p. 48. 7025:Das & Lanjewar 2012 6958:Das & Lanjewar 2012 6734:, Robert Laffont, 1994. 6716:Louis Charles Karpinski 6692:www.merriam-webster.com 6542:"Adlam (Unicode block)" 6349:"Bamum (Unicode block)" 5983:Non-positional notation 5925:Primorial number system 5915:{1, 2, 3, 4, 5, 6, ...} 5913:Factorial number system 4637:related to base −4 and 4390:related to base −2 and 4325:related to base −4 and 3823:Goormaghtigh conjecture 3808:left-truncatable primes 3409:terminates in base 30. 3328:. Compact notation for 2982:Conway base 13 function 2939:-great gross counting; 2448:Some of this article's 1746:а в г д е ѕ з и ѳ і ... 1703:Western Arabic numerals 1662:Eastern Arabic numerals 706:List of numeral systems 7691:Nasar, Sylvia (2001). 7439:. IEEE. pp. 1–5. 6335:Open Science Framework 5747: 5718: 5686: 5645: 5608: 5571: 5540:Supergolden ratio base 5483: 5454: 5418: 5392: 5359: 5330: 5297: 5265: 5230: 5201: 5164: 5132: 5097: 5066: 5032: 5001: 4963: 4937: 4904: 4877: 4843: 4814: 4778: 4749: 4716: 4687: 4589: 4555: 4514: 4489: 4457: 4423: 4382: 4353: 3778:Used as a sub-base in 3655:A variant of base 58. 3468:terminates and all of 2978:Tredecimal, tridecimal 2947:timekeeping; years of 2858:, unodecimal, undenary 2509: 2120:Mende Kikakui numerals 1769: 1457:ō α β γ δ ε ϝ ζ η θ ι 857:Proto-Elamite numerals 7405:Sallows, Lee (1993), 7194:Yale University Press 6645:Epp, Susanna (2010), 6614:UTC Document Register 6594:. Unicode Consortium. 6571:UTC Document Register 6551:. Unicode Consortium. 6528:UTC Document Register 6508:. Unicode Consortium. 6465:. Unicode Consortium. 6456:"NKo (Unicode block)" 6442:UTC Document Register 6422:. Unicode Consortium. 6399:UTC Document Register 6379:. Unicode Consortium. 6358:. Unicode Consortium. 6315:. Unicode Consortium. 6306:"Vai (Unicode block)" 6256:"武则天为反贪发明汉语大写数字——中新网" 6188:. Unicode Consortium. 6137:UTC Document Register 5748: 5719: 5687: 5685:{\displaystyle e\pi } 5646: 5609: 5572: 5484: 5455: 5419: 5393: 5360: 5331: 5298: 5266: 5231: 5202: 5165: 5133: 5098: 5067: 5033: 5002: 4964: 4938: 4905: 4878: 4844: 4815: 4779: 4750: 4717: 4688: 4590: 4556: 4515: 4490: 4458: 4424: 4383: 4354: 4321:Quater-imaginary base 3715:measurement systems; 3073:A base in which 7 is 3036:Compact notation for 2830:Compact notation for 2791:Unix-like permissions 2787:Charles XII of Sweden 2751:Proto-Uralic language 2630:(all points in that 2491: 1768: 1728:Ⰰ Ⰱ Ⰲ Ⰳ Ⰴ Ⰵ Ⰶ Ⰷ Ⰸ ... 74:Hindu–Arabic numerals 7806:Number-related lists 6981:Rawat & Sah 2013 6808:Thomas, N.W (1920). 6485:repository.upenn.edu 5730: 5701: 5673: 5644:{\displaystyle \pi } 5635: 5598: 5551: 5466: 5437: 5404: 5378: 5342: 5313: 5277: 5245: 5213: 5184: 5145: 5113: 5078: 5047: 5013: 4982: 4949: 4923: 4890: 4863: 4826: 4797: 4761: 4732: 4699: 4670: 4567: 4533: 4501: 4476: 4435: 4401: 4365: 4336: 4054:Bijective numeration 3825:for the generalized 3342:Months timekeeping. 3077:for n = 3, 4, 6, 9. 2995:Programming for the 2514:somewhat arbitrarily 2502:binary-coded decimal 2408:20th Century (1996) 2405:᮰ ᮱ ᮲ ᮳ ᮴ ᮵ ᮶ ᮷ ᮸ ᮹ 2181:߉ ߈ ߇ ߆ ߅ ߄ ߃ ߂ ߁ ߀ 2167:20th Century (1930s) 2156:Medefaidrin numerals 2149:20th Century (1920s) 2109:ꛯ ꛦ ꛧ ꛨ ꛩ ꛪ ꛫ ꛬ ꛭ ꛮ 2091:꘠ ꘡ ꘢ ꘣ ꘤ ꘥ ꘦ ꘧ ꘨ ꘩ 2077:19th Century (1820s) 1422:౦ ౧ ౨ ౩ ౪ ౫ ౬ ౭ ౮ ౯ 1416:௦ ௧ ௨ ௩ ௪ ௫ ௬ ௭ ௮ ௯ 1410:੦ ੧ ੨ ੩ ੪ ੫ ੬ ੭ ੮ ੯ 1404:୦ ୧ ୨ ୩ ୪ ୫ ୬ ୭ ୮ ୯ 1398:൦ ൧ ൨ ൩ ൪ ൫ ൬ ൭ ൮ ൯ 1392:೦ ೧ ೨ ೩ ೪ ೫ ೬ ೭ ೮ ೯ 1386:૦ ૧ ૨ ૩ ૪ ૫ ૬ ૭ ૮ ૯ 1380:० १ २ ३ ४ ५ ६ ७ ८ ९ 1374:০ ১ ২ ৩ ৪ ৫ ৬ ৭ ৮ ৯ 603:Prehistoric counting 379:Common radices/bases 61:Place-value notation 7750:2008arXiv0806.1083W 7672:on February 7, 2016 6929:2013IJCA...70w..13R 5989:Babylonian numerals 5526:Plastic number base 4634:Negatwindragon base 4285:Balanced duodecimal 4198:Balanced quaternary 3765:narcissistic number 3689:Babylonian numerals 2883:check digit in ISBN 2681:Chumashan languages 2659:measurement systems 2421:positional notation 2415:By type of notation 2391:20th Century (1994) 2272:20th Century (1989) 2254:20th Century (1961) 2232:20th Century (1959) 2185:20th Century (1949) 2131:20th Century (1917) 2113:19th Century (1896) 2095:19th Century (1832) 1996:15th Century (1443) 1992:영 일 이 삼 사 오 육 칠 팔 구 1819:Cistercian numerals 1812:11th Century (1036) 1788:၀ ၁ ၂ ၃ ၄ ၅ ၆ ၇ ၈ ၉ 1721:Glagolitic numerals 1710:0 1 2 3 4 5 6 7 8 9 1680:Vietnamese numerals 1669:٩ ٨ ٧ ٦ ٥ ٤ ٣ ٢ ١ ٠ 1612:๐ ๑ ๒ ๓ ๔ ๕ ๖ ๗ ๘ ๙ 1594:០ ១ ២ ៣ ៤ ៥ ៦ ៧ ៨ ៩ 1576:Ա Բ Գ Դ Ե Զ Է Ը Թ Ժ 1550:፩ ፪ ፫ ፬ ፭ ፮ ፯ ፰ ፱ 1488:Phoenician numerals 1437:۰ ۱ ۲ ۳ ۴ ۵ ۶ ۷ ۸ ۹ 1429:༠ ༡ ༢ ༣ ༤ ༥ ༦ ༧ ༨ ༩ 1301:Traditional Chinese 1286:Vietnamese numerals 946:Babylonian numerals 550:Sign-value notation 7622:on August 12, 2020 6938:10.5120/12206-7640 6153:(September 1928). 5743: 5714: 5682: 5641: 5604: 5567: 5479: 5450: 5414: 5388: 5355: 5326: 5293: 5261: 5226: 5197: 5160: 5128: 5093: 5062: 5028: 4997: 4959: 4933: 4900: 4873: 4839: 4810: 4774: 4745: 4712: 4683: 4585: 4551: 4510: 4485: 4453: 4419: 4378: 4349: 4275:Balanced undecimal 4228:Balanced septenary 3843:ASCII characters. 2685:Kharosthi numerals 2510: 2398:Sundanese numerals 1770: 1552:፲ ፳ ፴ ፵ ፶ ፷ ፸ ፹ ፺ 1470:Kharosthi numerals 1307:Simplified Chinese 206:East Asian systems 7380:, Wiley, p.  7279:Child Development 7203:978-0-300-16565-4 7126:Quinary-vigesimal 7116:978-0-88385-546-1 6224:978-0-521-87818-0 5902: 5901: 5885:Hendecadic number 5758: 5757: 5607:{\displaystyle e} 5580:Silver ratio base 5565: 5507:Golden ratio base 5477: 5448: 5412: 5386: 5353: 5324: 5291: 5259: 5224: 5195: 5158: 5126: 5091: 5060: 5026: 4995: 4957: 4931: 4898: 4871: 4837: 4808: 4772: 4743: 4710: 4681: 4648:Non-integer bases 4644: 4643: 4583: 4549: 4451: 4417: 4376: 4347: 4291: 4290: 4189:Ternary computers 4171:Non-adjacent form 4169:Balanced binary ( 4143: 4142: 4120:Bijective base-26 4104:Bijective base-10 4043: 4042: 3355:Natural Area Code 3228:of 4 or shorter. 2899:Languages in the 2879:French Revolution 2486: 2485: 2478: 2412: 2411: 2279:Kaktovik numerals 2062:Cherokee numerals 1739:Cyrillic numerals 1598:Early 7th Century 1580:Early 5th Century 1569:Armenian numerals 1532:Ⲁ Ⲃ Ⲅ Ⲇ Ⲉ Ⲋ Ⲍ Ⲏ Ⲑ 1351:ק ר ש ת ך ם ן ף ץ 1349:י כ ל מ נ ס ע פ צ 1347:א ב ג ד ה ו ז ח ט 1273:Japanese numerals 935: 934: 931: 930: 891:Egyptian numerals 874:Sumerian numerals 760:rendering support 740: 739: 539: 538: 16:(Redirected from 7813: 7785: 7778:Chrisomalis 2010 7775: 7769: 7768: 7743: 7734:(9): 4324–4334, 7721: 7715: 7714: 7698: 7695:A Beautiful Mind 7688: 7682: 7681: 7679: 7677: 7668:. Archived from 7662: 7656: 7655: 7653: 7651: 7641: 7635: 7634: 7629: 7627: 7606: 7600: 7599: 7597: 7595: 7579: 7573: 7572: 7570: 7568: 7552: 7546: 7545: 7543: 7541: 7531: 7525: 7524: 7522: 7520: 7504: 7498: 7497: 7477: 7471: 7470: 7438: 7428: 7422: 7420: 7402: 7396: 7394: 7371: 7365: 7363: 7354: 7338: 7332: 7324: 7318: 7317: 7310: 7304: 7302: 7285:(5): 1242–1248. 7274: 7268: 7267: 7260: 7254: 7253: 7217: 7211: 7210: 7181: 7172: 7171: 7156: 7147: 7140:Chrisomalis 2010 7137: 7131: 7130: 7094: 7088: 7087: 7037: 7028: 7022: 7009: 7008: 7001: 6995: 6990: 6984: 6978: 6961: 6955: 6946: 6945: 6940: 6908: 6902: 6901: 6891: 6882: 6876: 6875: 6866:(6): 1364–1365. 6851: 6845: 6844: 6842: 6840: 6805: 6799: 6798: 6796: 6794: 6789: 6765: 6759: 6741: 6735: 6725: 6719: 6709: 6703: 6702: 6700: 6698: 6684: 6678: 6669: 6663: 6661: 6641: 6635: 6634: 6632: 6624: 6618: 6617: 6611: 6602: 6596: 6595: 6589: 6581: 6575: 6574: 6568: 6559: 6553: 6552: 6546: 6538: 6532: 6531: 6525: 6516: 6510: 6509: 6503: 6495: 6489: 6488: 6482: 6473: 6467: 6466: 6460: 6452: 6446: 6445: 6439: 6430: 6424: 6423: 6417: 6409: 6403: 6402: 6396: 6387: 6381: 6380: 6374: 6366: 6360: 6359: 6353: 6345: 6339: 6338: 6326: 6317: 6316: 6310: 6302: 6296: 6295: 6293: 6291: 6277: 6271: 6270: 6268: 6266: 6251: 6245: 6238:Chrisomalis 2010 6235: 6229: 6228: 6196: 6190: 6189: 6183: 6175: 6169: 6168: 6166: 6164: 6147: 6141: 6140: 6134: 6125: 6119: 6118: 6110: 6101: 6095: 6094: 6074: 6042: 5895:Dodecadic number 5770: 5752: 5750: 5749: 5744: 5742: 5741: 5723: 5721: 5720: 5715: 5713: 5712: 5691: 5689: 5688: 5683: 5665: 5661: 5650: 5648: 5647: 5642: 5613: 5611: 5610: 5605: 5576: 5574: 5573: 5568: 5566: 5561: 5488: 5486: 5485: 5480: 5478: 5473: 5459: 5457: 5456: 5451: 5449: 5444: 5423: 5421: 5420: 5415: 5413: 5408: 5397: 5395: 5394: 5389: 5387: 5382: 5364: 5362: 5361: 5356: 5354: 5349: 5335: 5333: 5332: 5327: 5325: 5320: 5302: 5300: 5299: 5294: 5292: 5284: 5270: 5268: 5267: 5262: 5260: 5252: 5235: 5233: 5232: 5227: 5225: 5220: 5206: 5204: 5203: 5198: 5196: 5191: 5169: 5167: 5166: 5161: 5159: 5157: 5149: 5137: 5135: 5134: 5129: 5127: 5125: 5117: 5102: 5100: 5099: 5094: 5092: 5090: 5082: 5071: 5069: 5068: 5063: 5061: 5059: 5051: 5037: 5035: 5034: 5029: 5027: 5025: 5017: 5006: 5004: 5003: 4998: 4996: 4994: 4986: 4968: 4966: 4965: 4960: 4958: 4953: 4942: 4940: 4939: 4934: 4932: 4927: 4909: 4907: 4906: 4901: 4899: 4894: 4882: 4880: 4879: 4874: 4872: 4867: 4848: 4846: 4845: 4840: 4838: 4830: 4819: 4817: 4816: 4811: 4809: 4801: 4783: 4781: 4780: 4775: 4773: 4765: 4754: 4752: 4751: 4746: 4744: 4736: 4721: 4719: 4718: 4713: 4711: 4703: 4692: 4690: 4689: 4684: 4682: 4674: 4653: 4594: 4592: 4591: 4586: 4584: 4582: 4574: 4560: 4558: 4557: 4552: 4550: 4548: 4540: 4519: 4517: 4516: 4511: 4494: 4492: 4491: 4486: 4462: 4460: 4459: 4454: 4452: 4450: 4442: 4428: 4426: 4425: 4420: 4418: 4416: 4408: 4387: 4385: 4384: 4379: 4377: 4372: 4358: 4356: 4355: 4350: 4348: 4343: 4300: 4258:Balanced decimal 4208:Balanced quinary 4184:Balanced ternary 4152: 4085: 4080: 4059: 4001: 3999: 3998: 3995: 3992: 3985: 3983: 3982: 3979: 3976: 3912:Using as 128=2. 3842: 3741:Tetrasexagesimal 3541:Spanish alphabet 3527:English alphabet 3499: 3497: 3496: 3493: 3490: 3483: 3481: 3480: 3477: 3474: 3467: 3465: 3464: 3461: 3458: 3408: 3406: 3405: 3402: 3399: 3388: 3386: 3385: 3382: 3379: 3372: 3370: 3369: 3366: 3363: 3293:English alphabet 3223: 3221: 3220: 3217: 3214: 3207: 3205: 3204: 3201: 3198: 2921:Chepang language 2712:Kuurn Kopan Noot 2527: 2481: 2474: 2470: 2467: 2461: 2443: 2435: 2392: 2385: 2380: 2375: 2370: 2365: 2360: 2355: 2350: 2345: 2340: 2335: 2330: 2325: 2320: 2315: 2310: 2305: 2300: 2295: 2290: 2273: 2255: 2250: 2233: 2228: 2225: 2222: 2219: 2216: 2213: 2210: 2207: 2204: 2201: 2186: 2168: 2150: 2138:Osmanya numerals 2132: 2114: 2096: 2078: 2073: 2056: 2051: 2034: 2033:<18th Century 2020:Sinhala numerals 2014: 1997: 1974: 1973:<15th Century 1969: 1952: 1951:<15th Century 1947: 1942: 1937: 1932: 1927: 1922: 1917: 1912: 1907: 1902: 1897: 1892: 1887: 1882: 1877: 1872: 1867: 1862: 1857: 1852: 1835: 1830: 1813: 1808: 1793: 1781:Burmese numerals 1775: 1751: 1733: 1715: 1697: 1674: 1656: 1641:Chinese numerals 1635: 1617: 1599: 1581: 1561: 1537: 1519: 1500: 1482: 1464: 1444: 1357: 1352: 1333: 1315: 1269:Chinese numerals 1263: 1257: 1252: 1247: 1242: 1237: 1232: 1227: 1222: 1217: 1209: 1204: 1199: 1194: 1189: 1184: 1179: 1174: 1169: 1161: 1156: 1151: 1146: 1141: 1136: 1131: 1126: 1121: 1113: 1108: 1103: 1098: 1093: 1088: 1083: 1078: 1073: 1065: 1060: 1055: 1050: 1045: 1040: 1035: 1030: 1025: 1007: 1002: 997: 992: 987: 982: 977: 972: 967: 962: 957: 940: 903: 899: 885: 868: 851: 850:c. 3500–1900 BCE 835: 834:c. 3500–2000 BCE 806: 748: 732: 725: 718: 521: 505: 487: 477:balanced ternary 474: 461: 67: 38: 21: 7821: 7820: 7816: 7815: 7814: 7812: 7811: 7810: 7801:Numeral systems 7791: 7790: 7789: 7788: 7776: 7772: 7723: 7722: 7718: 7711: 7690: 7689: 7685: 7675: 7673: 7664: 7663: 7659: 7649: 7647: 7643: 7642: 7638: 7625: 7623: 7608: 7607: 7603: 7593: 7591: 7581: 7580: 7576: 7566: 7564: 7554: 7553: 7549: 7539: 7537: 7533: 7532: 7528: 7518: 7516: 7506: 7505: 7501: 7479: 7478: 7474: 7455: 7430: 7429: 7425: 7404: 7403: 7399: 7392: 7373: 7372: 7368: 7340: 7339: 7335: 7325: 7321: 7312: 7311: 7307: 7276: 7275: 7271: 7262: 7261: 7257: 7219: 7218: 7214: 7204: 7183: 7182: 7175: 7160:Laycock, Donald 7158: 7157: 7150: 7138: 7134: 7117: 7096: 7095: 7091: 7082:. p. 165: 7039: 7038: 7031: 7023: 7012: 7003: 7002: 6998: 6991: 6987: 6979: 6964: 6956: 6949: 6910: 6909: 6905: 6889: 6884: 6883: 6879: 6853: 6852: 6848: 6838: 6836: 6826:10.2307/2840036 6807: 6806: 6802: 6792: 6790: 6767: 6766: 6762: 6742: 6738: 6726: 6722: 6710: 6706: 6696: 6694: 6686: 6685: 6681: 6670: 6666: 6659: 6644: 6642: 6638: 6630: 6626: 6625: 6621: 6609: 6604: 6603: 6599: 6587: 6583: 6582: 6578: 6566: 6561: 6560: 6556: 6544: 6540: 6539: 6535: 6523: 6518: 6517: 6513: 6501: 6497: 6496: 6492: 6480: 6475: 6474: 6470: 6458: 6454: 6453: 6449: 6437: 6432: 6431: 6427: 6415: 6411: 6410: 6406: 6394: 6389: 6388: 6384: 6372: 6368: 6367: 6363: 6351: 6347: 6346: 6342: 6328: 6327: 6320: 6308: 6304: 6303: 6299: 6289: 6287: 6279: 6278: 6274: 6264: 6262: 6253: 6252: 6248: 6236: 6232: 6225: 6198: 6197: 6193: 6181: 6177: 6176: 6172: 6162: 6160: 6151:Cajori, Florian 6149: 6148: 6144: 6132: 6127: 6126: 6122: 6108: 6103: 6102: 6098: 6076: 6075: 6066: 6061: 6056: 6040: 6004: 5985: 5952: 5909: 5863:Enneadic number 5842:Heptadic number 5818:Pentadic number 5807:Tetradic number 5768: 5733: 5728: 5727: 5704: 5699: 5698: 5671: 5670: 5663: 5657: 5633: 5632: 5596: 5595: 5549: 5548: 5464: 5463: 5435: 5434: 5402: 5401: 5376: 5375: 5340: 5339: 5311: 5310: 5275: 5274: 5243: 5242: 5211: 5210: 5182: 5181: 5176:musical system 5143: 5142: 5111: 5110: 5076: 5075: 5045: 5044: 5011: 5010: 4980: 4979: 4947: 4946: 4921: 4920: 4888: 4887: 4861: 4860: 4824: 4823: 4795: 4794: 4759: 4758: 4730: 4729: 4697: 4696: 4668: 4667: 4651: 4565: 4564: 4531: 4530: 4499: 4498: 4474: 4473: 4433: 4432: 4399: 4398: 4363: 4362: 4334: 4333: 4298: 4266:Augustin Cauchy 4264: 4248:Balanced nonary 4218:Balanced senary 4150: 4131:. Also used by 4083: 4078: 4057: 4050: 3996: 3993: 3990: 3989: 3987: 3980: 3977: 3974: 3973: 3971: 3869:Wagstaff primes 3748: 3701:minutes-seconds 3494: 3491: 3488: 3487: 3485: 3478: 3475: 3472: 3471: 3469: 3462: 3459: 3456: 3455: 3453: 3403: 3400: 3397: 3396: 3394: 3393:if and only if 3383: 3380: 3377: 3376: 3374: 3367: 3364: 3361: 3360: 3358: 3302:Septemvigesimal 3266:Kaugel language 3253:Quadravigesimal 3218: 3215: 3212: 3211: 3209: 3202: 3199: 3196: 3195: 3193: 2961:Roman fractions 2772:letter notation 2482: 2471: 2465: 2462: 2459: 2444: 2433: 2417: 2390: 2386: 2271: 2253: 2231: 2226: 2223: 2220: 2217: 2214: 2211: 2208: 2205: 2202: 2199: 2184: 2166: 2148: 2130: 2112: 2094: 2076: 2054: 2032: 2028: 2012: 1995: 1980:Korean numerals 1972: 1958:Muisca numerals 1950: 1833: 1811: 1799:Tangut numerals 1791: 1773: 1749: 1731: 1713: 1696:<9th Century 1695: 1672: 1654: 1650: 1634:<8th Century 1633: 1615: 1597: 1579: 1562: 1560:3rd–4th Century 1559: 1555: 1553: 1551: 1535: 1525:Coptic numerals 1517: 1498: 1481:<400–250 BCE 1480: 1462: 1458: 1442: 1438: 1430: 1363:Indian numerals 1355: 1350: 1348: 1346: 1339:Hebrew numerals 1331: 1313: 1304: 1290:Sino-Vietnamese 1284: 1277:Korean numerals 1275: 1271: 1261: 1211: 1163: 1115: 1067: 1013:Aegean numerals 1005: 938: 883: 866: 849: 833: 789: 779:for expressing 777:writing systems 773:numeral systems 769: 768: 767: 758:Without proper 749: 736: 700: 699: 622: 608:Proto-cuneiform 553: 552: 541: 540: 535: 534: 519: 503: 485: 472: 459: 446: 375: 374: 362: 361: 342: 302: 287: 278: 277: 268: 267: 249: 208: 207: 198: 197: 149: 91: 77: 76: 64: 63: 51:Numeral systems 34: 23: 22: 15: 12: 11: 5: 7819: 7817: 7809: 7808: 7803: 7793: 7792: 7787: 7786: 7770: 7716: 7709: 7683: 7657: 7636: 7601: 7574: 7547: 7526: 7499: 7472: 7453: 7423: 7397: 7390: 7366: 7333: 7319: 7305: 7269: 7255: 7212: 7202: 7186:"Introduction" 7173: 7148: 7132: 7115: 7109:. p. 89. 7089: 7060:10.2307/408742 7054:(3): 165–173. 7029: 7010: 6996: 6985: 6962: 6947: 6903: 6877: 6846: 6800: 6760: 6736: 6720: 6704: 6679: 6664: 6657: 6636: 6619: 6597: 6576: 6554: 6533: 6511: 6490: 6468: 6447: 6425: 6404: 6382: 6361: 6340: 6329:Kelly, Piers. 6318: 6297: 6272: 6246: 6230: 6223: 6191: 6170: 6142: 6120: 6096: 6063: 6062: 6060: 6057: 6055: 6054: 6049: 6046:Table of bases 6043: 6034: 6028: 6025:Numeral prefix 6022: 6017: 6012: 6005: 6003: 6000: 5993:Roman numerals 5984: 5981: 5980: 5979: 5974: 5968: 5963: 5958: 5956:Quote notation 5951: 5948: 5947: 5946: 5943: 5940: 5937: 5934: 5928: 5922: 5919: 5916: 5908: 5903: 5900: 5899: 5896: 5893: 5889: 5888: 5886: 5883: 5879: 5878: 5875: 5874:Decadic number 5872: 5868: 5867: 5864: 5861: 5857: 5856: 5853: 5852:Octadic number 5850: 5846: 5845: 5843: 5840: 5836: 5835: 5829: 5828:Hexadic number 5826: 5822: 5821: 5819: 5816: 5812: 5811: 5808: 5805: 5801: 5800: 5798: 5797:Triadic number 5795: 5791: 5790: 5788: 5785: 5781: 5780: 5777: 5774: 5767: 5759: 5756: 5755: 5753: 5740: 5736: 5724: 5711: 5707: 5695: 5694: 5692: 5681: 5678: 5667: 5654: 5653: 5651: 5640: 5629: 5621: 5620: 5614: 5603: 5592: 5584: 5583: 5581: 5578: 5564: 5559: 5556: 5544: 5543: 5541: 5538: 5530: 5529: 5527: 5524: 5516: 5515: 5509: 5504: 5496: 5495: 5489: 5476: 5471: 5460: 5447: 5442: 5431: 5430: 5424: 5411: 5398: 5385: 5372: 5371: 5365: 5352: 5347: 5336: 5323: 5318: 5307: 5306: 5303: 5290: 5287: 5282: 5271: 5258: 5255: 5250: 5239: 5238: 5236: 5223: 5218: 5207: 5194: 5189: 5178: 5177: 5170: 5156: 5152: 5139: 5124: 5120: 5106: 5105: 5103: 5089: 5085: 5072: 5058: 5054: 5041: 5040: 5038: 5024: 5020: 5007: 4993: 4989: 4976: 4975: 4969: 4956: 4943: 4930: 4917: 4916: 4910: 4897: 4884: 4870: 4856: 4855: 4849: 4836: 4833: 4820: 4807: 4804: 4791: 4790: 4784: 4771: 4768: 4755: 4742: 4739: 4726: 4725: 4722: 4709: 4706: 4693: 4680: 4677: 4664: 4663: 4660: 4657: 4650: 4645: 4642: 4641: 4635: 4632: 4625: 4624: 4615: 4609: 4602: 4601: 4595: 4581: 4577: 4572: 4561: 4547: 4543: 4538: 4527: 4526: 4520: 4509: 4506: 4495: 4484: 4481: 4470: 4469: 4463: 4449: 4445: 4440: 4429: 4415: 4411: 4406: 4395: 4394: 4388: 4375: 4370: 4359: 4346: 4341: 4330: 4329: 4323: 4318: 4311: 4310: 4307: 4304: 4297: 4292: 4289: 4288: 4286: 4283: 4279: 4278: 4276: 4273: 4269: 4268: 4259: 4256: 4252: 4251: 4249: 4246: 4242: 4241: 4239: 4238:Balanced octal 4236: 4232: 4231: 4229: 4226: 4222: 4221: 4219: 4216: 4212: 4211: 4209: 4206: 4202: 4201: 4199: 4196: 4192: 4191: 4186: 4181: 4177: 4176: 4174: 4167: 4163: 4162: 4159: 4156: 4149: 4144: 4141: 4140: 4122: 4117: 4113: 4112: 4106: 4101: 4097: 4096: 4087: 4086:base‑1) 4074: 4070: 4069: 4066: 4063: 4056: 4051: 4049: 4044: 4041: 4040: 4030: 4028: 4024: 4023: 4020: 4018: 4014: 4013: 4010: 4008: 4004: 4003: 3968: 3966: 3962: 3961: 3958: 3956: 3952: 3951: 3948:repunit primes 3940: 3938: 3934: 3933: 3930: 3928: 3924: 3923: 3920: 3918: 3914: 3913: 3910: 3908: 3904: 3903: 3900: 3898: 3894: 3893: 3890: 3888: 3884: 3883: 3880: 3877: 3873: 3872: 3865: 3863: 3859: 3858: 3851: 3849: 3845: 3844: 3837: 3835: 3831: 3830: 3819: 3816: 3812: 3811: 3804: 3802: 3798: 3797: 3790: 3788: 3784: 3783: 3776: 3773: 3769: 3768: 3761: 3759: 3755: 3754: 3742: 3739: 3733: 3732: 3729: 3727: 3721: 3720: 3686: 3681: 3677: 3676: 3673: 3671: 3667: 3666: 3663: 3661: 3657: 3656: 3653: 3651: 3647: 3646: 3643: 3641: 3637: 3636: 3626: 3625:Quinquagesimal 3623: 3619: 3618: 3615: 3613: 3609: 3608: 3601: 3599: 3595: 3594: 3591:minimal primes 3587: 3585: 3581: 3580: 3566: 3563: 3559: 3558: 3551: 3549: 3545: 3544: 3537: 3535: 3531: 3530: 3523: 3521:Hexatrigesimal 3518: 3512: 3511: 3508: 3506: 3502: 3501: 3450: 3448: 3444: 3443: 3436: 3434: 3430: 3429: 3426:Ngiti language 3422: 3417: 3411: 3410: 3391:regular number 3351: 3348: 3344: 3343: 3340: 3338: 3334: 3333: 3303: 3300: 3296: 3295: 3289: 3284: 3280: 3279: 3276: 3274: 3270: 3269: 3262:Greek alphabet 3255: 3250: 3246: 3245: 3243:Kobon language 3239:Kalam language 3236: 3234: 3230: 3229: 3190: 3188: 3184: 3183: 3176:Nunivak Cupʼig 3157: 3148: 3144: 3143: 3098: 3093: 3089: 3088: 3086: 3083: 3079: 3078: 3071: 3068: 3064: 3063: 3061: 3058: 3054: 3053: 3034: 3028: 3024: 3023: 3016: 3013: 3009: 3008: 2993: 2990: 2986: 2985: 2979: 2976: 2972: 2971: 2949:Chinese zodiac 2897: 2891: 2887: 2886: 2859: 2853: 2849: 2848: 2845: 2839: 2835: 2834: 2828: 2819: 2815: 2814: 2784: 2779: 2775: 2774: 2765: 2759: 2755: 2754: 2736: 2727: 2723: 2722: 2697: 2692: 2688: 2687: 2678: 2673: 2669: 2668: 2625: 2620: 2616: 2615: 2547: 2542: 2538: 2537: 2534: 2531: 2516:from a mix of 2484: 2483: 2450:listed sources 2447: 2445: 2438: 2432: 2429: 2416: 2413: 2410: 2409: 2406: 2403: 2400: 2394: 2393: 2388: 2284: 2281: 2275: 2274: 2269: 2266: 2263: 2261:Adlam numerals 2257: 2256: 2251: 2244: 2241: 2239:Garay numerals 2235: 2234: 2229: 2197: 2194: 2192:Hmong numerals 2188: 2187: 2182: 2179: 2176: 2170: 2169: 2164: 2161: 2158: 2152: 2151: 2146: 2143: 2140: 2134: 2133: 2128: 2125: 2122: 2116: 2115: 2110: 2107: 2104: 2102:Bamum numerals 2098: 2097: 2092: 2089: 2086: 2080: 2079: 2074: 2067: 2064: 2058: 2057: 2052: 2045: 2042: 2040:Pentadic runes 2036: 2035: 2030: 2025: 2022: 2016: 2015: 2010: 2008: 2005: 2003:Aztec numerals 1999: 1998: 1993: 1990: 1987: 1976: 1975: 1970: 1963: 1960: 1954: 1953: 1948: 1846: 1843: 1837: 1836: 1831: 1824: 1821: 1815: 1814: 1809: 1804: 1801: 1795: 1794: 1789: 1786: 1783: 1777: 1776: 1771: 1762: 1759: 1753: 1752: 1747: 1744: 1741: 1735: 1734: 1729: 1726: 1723: 1717: 1716: 1711: 1708: 1705: 1699: 1698: 1693: 1690: 1687: 1676: 1675: 1670: 1667: 1664: 1658: 1657: 1652: 1647: 1644: 1637: 1636: 1631: 1628: 1625: 1623:Abjad numerals 1619: 1618: 1613: 1610: 1607: 1601: 1600: 1595: 1592: 1589: 1587:Khmer numerals 1583: 1582: 1577: 1574: 1571: 1565: 1564: 1557: 1548: 1545: 1543:Ge'ez numerals 1539: 1538: 1533: 1530: 1527: 1521: 1520: 1515: 1512: 1509: 1502: 1501: 1496: 1493: 1490: 1484: 1483: 1478: 1475: 1472: 1466: 1465: 1460: 1455: 1452: 1450:Greek numerals 1446: 1445: 1440: 1436: 1428: 1368: 1365: 1359: 1358: 1353: 1344: 1341: 1335: 1334: 1329: 1326: 1323: 1321:Roman numerals 1317: 1316: 1311: 1296: 1293: 1265: 1264: 1259: 1018: 1015: 1009: 1008: 1003: 951: 948: 942: 941: 936: 933: 932: 929: 928: 925: 922: 919: 916: 913: 910: 907: 896: 893: 887: 886: 881: 879: 876: 870: 869: 864: 862: 859: 853: 852: 847: 845: 843: 841:Indus numerals 837: 836: 831: 829: 826: 820: 819: 816: 813: 810: 788: 785: 762:, you may see 750: 743: 742: 741: 738: 737: 735: 734: 727: 720: 712: 709: 708: 702: 701: 698: 697: 692: 687: 682: 677: 672: 667: 662: 661: 660: 655: 650: 640: 635: 629: 628: 621: 620: 615: 610: 605: 600: 595: 590: 585: 580: 575: 570: 565: 559: 558: 557:Non-alphabetic 554: 548: 547: 546: 543: 542: 537: 536: 533: 532: 527: 514: 498: 493: 480: 467: 453: 452: 445: 444: 437: 432: 427: 422: 417: 412: 407: 402: 397: 392: 387: 381: 380: 376: 369: 368: 367: 364: 363: 360: 359: 353: 347: 346: 341: 340: 335: 330: 325: 320: 315: 309: 308: 306:Post-classical 301: 300: 294: 293: 286: 285: 279: 275: 274: 273: 270: 269: 266: 265: 260: 254: 253: 248: 247: 242: 237: 232: 227: 226: 225: 214: 213: 209: 205: 204: 203: 200: 199: 196: 195: 190: 185: 180: 175: 170: 165: 160: 155: 148: 147: 142: 137: 132: 127: 122: 117: 112: 107: 102: 97: 90: 89: 87:Eastern Arabic 84: 82:Western Arabic 78: 72: 71: 70: 65: 59: 58: 57: 54: 53: 47: 46: 24: 14: 13: 10: 9: 6: 4: 3: 2: 7818: 7807: 7804: 7802: 7799: 7798: 7796: 7783: 7779: 7774: 7771: 7767: 7763: 7759: 7755: 7751: 7747: 7742: 7737: 7733: 7729: 7728: 7720: 7717: 7712: 7710:0-7432-2457-4 7706: 7702: 7697: 7696: 7687: 7684: 7671: 7667: 7661: 7658: 7646: 7640: 7637: 7633: 7621: 7617: 7616: 7611: 7605: 7602: 7590: 7589: 7584: 7578: 7575: 7563: 7562: 7557: 7551: 7548: 7536: 7530: 7527: 7515: 7514: 7509: 7503: 7500: 7496: 7491: 7487: 7483: 7476: 7473: 7469: 7464: 7460: 7456: 7454:1-4244-0952-7 7450: 7446: 7442: 7437: 7436: 7427: 7424: 7418: 7414: 7413: 7408: 7401: 7398: 7393: 7391:9780471134183 7387: 7383: 7379: 7378: 7370: 7367: 7362: 7358: 7353: 7348: 7344: 7337: 7334: 7330: 7329: 7328:Nauka i Zhizn 7323: 7320: 7315: 7309: 7306: 7300: 7296: 7292: 7288: 7284: 7280: 7273: 7270: 7265: 7259: 7256: 7252: 7247: 7243: 7239: 7235: 7231: 7227: 7223: 7216: 7213: 7209: 7205: 7199: 7196:. p. 9. 7195: 7191: 7187: 7180: 7178: 7174: 7169: 7165: 7164:Wurm, Stephen 7161: 7155: 7153: 7149: 7145: 7141: 7136: 7133: 7129: 7127: 7122: 7118: 7112: 7108: 7104: 7100: 7093: 7090: 7086: 7081: 7077: 7073: 7069: 7065: 7061: 7057: 7053: 7049: 7048: 7043: 7036: 7034: 7030: 7027:, p. 14. 7026: 7021: 7019: 7017: 7015: 7011: 7006: 7000: 6997: 6994: 6989: 6986: 6982: 6977: 6975: 6973: 6971: 6969: 6967: 6963: 6960:, p. 13. 6959: 6954: 6952: 6948: 6944: 6939: 6934: 6930: 6926: 6923:(23): 13–17. 6922: 6918: 6914: 6907: 6904: 6899: 6895: 6888: 6881: 6878: 6873: 6869: 6865: 6861: 6857: 6850: 6847: 6835: 6831: 6827: 6823: 6819: 6815: 6811: 6804: 6801: 6788: 6783: 6779: 6775: 6771: 6764: 6761: 6757: 6756:0-471-39340-1 6753: 6749: 6748:Georges Ifrah 6745: 6740: 6737: 6733: 6732:Georges Ifrah 6729: 6724: 6721: 6717: 6713: 6708: 6705: 6693: 6689: 6683: 6680: 6677: 6673: 6668: 6665: 6660: 6658:9781133168669 6654: 6650: 6649: 6640: 6637: 6629: 6623: 6620: 6615: 6608: 6601: 6598: 6593: 6586: 6580: 6577: 6572: 6565: 6558: 6555: 6550: 6543: 6537: 6534: 6529: 6522: 6515: 6512: 6507: 6500: 6494: 6491: 6486: 6479: 6472: 6469: 6464: 6457: 6451: 6448: 6443: 6436: 6429: 6426: 6421: 6414: 6408: 6405: 6400: 6393: 6386: 6383: 6378: 6371: 6365: 6362: 6357: 6350: 6344: 6341: 6336: 6332: 6325: 6323: 6319: 6314: 6307: 6301: 6298: 6286: 6282: 6276: 6273: 6261: 6257: 6250: 6247: 6243: 6239: 6234: 6231: 6226: 6220: 6216: 6212: 6208: 6204: 6203: 6195: 6192: 6187: 6180: 6174: 6171: 6158: 6157: 6152: 6146: 6143: 6138: 6131: 6124: 6121: 6116: 6115: 6107: 6100: 6097: 6092: 6088: 6084: 6080: 6073: 6071: 6069: 6065: 6058: 6053: 6050: 6047: 6044: 6038: 6037:Radix economy 6035: 6032: 6029: 6026: 6023: 6021: 6018: 6016: 6013: 6010: 6007: 6006: 6001: 5999: 5998: 5994: 5990: 5982: 5978: 5975: 5972: 5969: 5967: 5964: 5962: 5959: 5957: 5954: 5953: 5949: 5944: 5941: 5938: 5935: 5932: 5929: 5926: 5923: 5920: 5917: 5914: 5911: 5910: 5907: 5904: 5897: 5894: 5891: 5890: 5887: 5884: 5881: 5880: 5876: 5873: 5870: 5869: 5865: 5862: 5859: 5858: 5854: 5851: 5848: 5847: 5844: 5841: 5838: 5837: 5834: 5830: 5827: 5824: 5823: 5820: 5817: 5814: 5813: 5809: 5806: 5803: 5802: 5799: 5796: 5793: 5792: 5789: 5787:Dyadic number 5786: 5783: 5782: 5778: 5775: 5772: 5771: 5766: 5764: 5760: 5754: 5738: 5734: 5725: 5709: 5705: 5697: 5696: 5693: 5679: 5676: 5668: 5666: 5660: 5656: 5655: 5652: 5638: 5630: 5628: 5627: 5623: 5622: 5619: 5618:radix economy 5615: 5601: 5593: 5591: 5590: 5586: 5585: 5582: 5579: 5577: 5562: 5557: 5554: 5546: 5545: 5542: 5539: 5537: 5536: 5532: 5531: 5528: 5525: 5523: 5522: 5518: 5517: 5514: 5510: 5508: 5505: 5503: 5502: 5498: 5497: 5494: 5490: 5474: 5469: 5461: 5445: 5440: 5433: 5432: 5429: 5425: 5409: 5399: 5383: 5374: 5373: 5370: 5366: 5350: 5345: 5337: 5321: 5316: 5309: 5308: 5304: 5288: 5285: 5280: 5272: 5256: 5253: 5248: 5241: 5240: 5237: 5221: 5216: 5208: 5192: 5187: 5180: 5179: 5175: 5171: 5154: 5150: 5140: 5138: 5122: 5118: 5108: 5107: 5104: 5087: 5083: 5073: 5056: 5052: 5043: 5042: 5039: 5022: 5018: 5008: 4991: 4987: 4978: 4977: 4974: 4970: 4954: 4944: 4928: 4919: 4918: 4915: 4911: 4895: 4885: 4883: 4868: 4858: 4857: 4854: 4850: 4834: 4831: 4821: 4805: 4802: 4793: 4792: 4789: 4785: 4769: 4766: 4756: 4740: 4737: 4728: 4727: 4723: 4707: 4704: 4694: 4678: 4675: 4666: 4665: 4661: 4658: 4655: 4654: 4649: 4646: 4640: 4636: 4633: 4631: 4627: 4626: 4623: 4619: 4616: 4613: 4610: 4608: 4604: 4603: 4600: 4596: 4579: 4575: 4570: 4562: 4545: 4541: 4536: 4529: 4528: 4525: 4521: 4507: 4504: 4496: 4482: 4479: 4472: 4471: 4468: 4464: 4447: 4443: 4438: 4430: 4413: 4409: 4404: 4397: 4396: 4393: 4389: 4373: 4368: 4360: 4344: 4339: 4332: 4331: 4328: 4324: 4322: 4319: 4317: 4313: 4312: 4308: 4305: 4302: 4301: 4296: 4295:Complex bases 4293: 4287: 4284: 4281: 4280: 4277: 4274: 4271: 4270: 4267: 4263: 4260: 4257: 4254: 4253: 4250: 4247: 4244: 4243: 4240: 4237: 4234: 4233: 4230: 4227: 4224: 4223: 4220: 4217: 4214: 4213: 4210: 4207: 4204: 4203: 4200: 4197: 4194: 4193: 4190: 4187: 4185: 4182: 4179: 4178: 4175: 4172: 4168: 4165: 4164: 4160: 4157: 4154: 4153: 4148: 4145: 4138: 4134: 4130: 4126: 4123: 4121: 4118: 4115: 4114: 4111: 4107: 4105: 4102: 4099: 4098: 4095: 4091: 4088: 4081: 4075: 4072: 4071: 4067: 4064: 4061: 4060: 4055: 4052: 4048: 4045: 4038: 4034: 4031: 4029: 4026: 4025: 4021: 4019: 4016: 4015: 4011: 4009: 4006: 4005: 3969: 3967: 3964: 3963: 3959: 3957: 3954: 3953: 3949: 3945: 3944:perfect power 3941: 3939: 3936: 3935: 3931: 3929: 3926: 3925: 3921: 3919: 3916: 3915: 3911: 3909: 3906: 3905: 3901: 3899: 3896: 3895: 3891: 3889: 3886: 3885: 3881: 3878: 3875: 3874: 3870: 3866: 3864: 3861: 3860: 3856: 3852: 3850: 3847: 3846: 3838: 3836: 3833: 3832: 3828: 3824: 3820: 3817: 3814: 3813: 3809: 3805: 3803: 3800: 3799: 3794: 3791: 3789: 3786: 3785: 3781: 3777: 3774: 3771: 3770: 3766: 3762: 3760: 3757: 3756: 3752: 3746: 3743: 3740: 3738: 3735: 3734: 3730: 3728: 3726: 3723: 3722: 3718: 3714: 3710: 3706: 3702: 3698: 3694: 3690: 3687: 3685: 3682: 3679: 3678: 3674: 3672: 3669: 3668: 3664: 3662: 3659: 3658: 3654: 3652: 3649: 3648: 3644: 3642: 3639: 3638: 3634: 3630: 3627: 3624: 3621: 3620: 3616: 3614: 3611: 3610: 3606: 3602: 3600: 3597: 3596: 3592: 3588: 3586: 3583: 3582: 3578: 3574: 3570: 3567: 3565:Quadragesimal 3564: 3561: 3560: 3556: 3552: 3550: 3547: 3546: 3542: 3538: 3536: 3533: 3532: 3528: 3524: 3522: 3519: 3517: 3514: 3513: 3509: 3507: 3504: 3503: 3451: 3449: 3446: 3445: 3441: 3437: 3435: 3432: 3431: 3427: 3424:Found in the 3423: 3421: 3420:Duotrigesimal 3418: 3416: 3413: 3412: 3392: 3356: 3352: 3349: 3346: 3345: 3341: 3339: 3336: 3335: 3331: 3327: 3323: 3319: 3315: 3311: 3307: 3304: 3301: 3298: 3297: 3294: 3290: 3288: 3287:Hexavigesimal 3285: 3282: 3281: 3277: 3275: 3272: 3271: 3267: 3263: 3260:timekeeping; 3259: 3258:24-hour clock 3256: 3254: 3251: 3248: 3247: 3244: 3240: 3237: 3235: 3232: 3231: 3227: 3191: 3189: 3186: 3185: 3181: 3177: 3173: 3169: 3165: 3161: 3158: 3156: 3152: 3149: 3146: 3145: 3142: 3138: 3134: 3130: 3126: 3122: 3118: 3114: 3110: 3106: 3102: 3099: 3097: 3094: 3091: 3090: 3087: 3084: 3081: 3080: 3076: 3072: 3069: 3066: 3065: 3062: 3059: 3056: 3055: 3051: 3047: 3043: 3039: 3035: 3032: 3029: 3026: 3025: 3021: 3020:Huli language 3017: 3014: 3011: 3010: 3006: 3002: 2998: 2994: 2991: 2988: 2987: 2983: 2980: 2977: 2974: 2973: 2970: 2966: 2962: 2958: 2954: 2950: 2946: 2942: 2941:12-hour clock 2938: 2934: 2930: 2926: 2922: 2918: 2914: 2910: 2906: 2902: 2898: 2895: 2892: 2889: 2888: 2884: 2880: 2876: 2872: 2868: 2864: 2860: 2857: 2854: 2851: 2850: 2846: 2843: 2840: 2837: 2836: 2833: 2829: 2827: 2823: 2820: 2817: 2816: 2812: 2808: 2804: 2800: 2796: 2792: 2788: 2785: 2783: 2780: 2777: 2776: 2773: 2769: 2766: 2764: 2760: 2757: 2756: 2752: 2748: 2744: 2740: 2737: 2735: 2731: 2728: 2725: 2724: 2721: 2717: 2713: 2709: 2705: 2701: 2698: 2696: 2693: 2690: 2689: 2686: 2682: 2679: 2677: 2674: 2671: 2670: 2667:integer base 2666: 2665: 2660: 2656: 2652: 2648: 2644: 2640: 2637: 2633: 2629: 2626: 2624: 2621: 2618: 2617: 2613: 2609: 2605: 2601: 2597: 2593: 2589: 2585: 2581: 2577: 2573: 2569: 2565: 2562: 2558: 2554: 2551: 2548: 2546: 2543: 2540: 2539: 2535: 2532: 2529: 2528: 2525: 2523: 2519: 2515: 2507: 2503: 2499: 2495: 2490: 2480: 2477: 2469: 2457: 2456: 2451: 2446: 2442: 2437: 2436: 2430: 2428: 2426: 2422: 2414: 2407: 2404: 2401: 2399: 2396: 2395: 2389: 2384: 2379: 2374: 2369: 2364: 2359: 2354: 2349: 2344: 2339: 2334: 2329: 2324: 2319: 2314: 2309: 2304: 2299: 2294: 2289: 2285: 2282: 2280: 2277: 2276: 2270: 2267: 2264: 2262: 2259: 2258: 2252: 2249: 2245: 2242: 2240: 2237: 2236: 2230: 2198: 2195: 2193: 2190: 2189: 2183: 2180: 2177: 2175: 2174:N'Ko numerals 2172: 2171: 2165: 2162: 2159: 2157: 2154: 2153: 2147: 2144: 2141: 2139: 2136: 2135: 2129: 2126: 2123: 2121: 2118: 2117: 2111: 2108: 2105: 2103: 2100: 2099: 2093: 2090: 2087: 2085: 2082: 2081: 2075: 2072: 2068: 2065: 2063: 2060: 2059: 2053: 2050: 2046: 2043: 2041: 2038: 2037: 2031: 2026: 2023: 2021: 2018: 2017: 2011: 2009: 2006: 2004: 2001: 2000: 1994: 1991: 1988: 1985: 1981: 1978: 1977: 1971: 1968: 1964: 1961: 1959: 1956: 1955: 1949: 1946: 1941: 1936: 1931: 1926: 1921: 1916: 1911: 1906: 1901: 1896: 1891: 1886: 1881: 1876: 1871: 1866: 1861: 1856: 1851: 1847: 1844: 1842: 1841:Maya numerals 1839: 1838: 1832: 1829: 1825: 1822: 1820: 1817: 1816: 1810: 1805: 1802: 1800: 1797: 1796: 1790: 1787: 1784: 1782: 1779: 1778: 1772: 1767: 1763: 1760: 1758: 1757:Rumi numerals 1755: 1754: 1748: 1745: 1742: 1740: 1737: 1736: 1730: 1727: 1724: 1722: 1719: 1718: 1712: 1709: 1706: 1704: 1701: 1700: 1694: 1691: 1688: 1685: 1681: 1678: 1677: 1671: 1668: 1665: 1663: 1660: 1659: 1653: 1648: 1645: 1642: 1639: 1638: 1632: 1629: 1626: 1624: 1621: 1620: 1614: 1611: 1608: 1606: 1605:Thai numerals 1603: 1602: 1596: 1593: 1590: 1588: 1585: 1584: 1578: 1575: 1572: 1570: 1567: 1566: 1558: 1549: 1546: 1544: 1541: 1540: 1534: 1531: 1528: 1526: 1523: 1522: 1516: 1513: 1510: 1508: 1504: 1503: 1497: 1494: 1491: 1489: 1486: 1485: 1479: 1476: 1473: 1471: 1468: 1467: 1461: 1456: 1453: 1451: 1448: 1447: 1441: 1439: 1435: 1431: 1427: 1423: 1421: 1417: 1415: 1411: 1409: 1405: 1403: 1399: 1397: 1393: 1391: 1387: 1385: 1381: 1379: 1375: 1373: 1369: 1366: 1364: 1361: 1360: 1354: 1345: 1342: 1340: 1337: 1336: 1330: 1328:I V X L C D M 1327: 1324: 1322: 1319: 1318: 1312: 1310: 1308: 1302: 1297: 1294: 1291: 1287: 1282: 1278: 1274: 1270: 1267: 1266: 1260: 1256: 1251: 1246: 1241: 1236: 1231: 1226: 1221: 1216: 1208: 1203: 1198: 1193: 1188: 1183: 1178: 1173: 1168: 1160: 1155: 1150: 1145: 1140: 1135: 1130: 1125: 1120: 1112: 1107: 1102: 1097: 1092: 1087: 1082: 1077: 1072: 1064: 1059: 1054: 1049: 1044: 1039: 1034: 1029: 1024: 1019: 1016: 1014: 1011: 1010: 1004: 1001: 996: 991: 986: 981: 976: 971: 966: 961: 956: 952: 949: 947: 944: 943: 937: 926: 923: 920: 917: 914: 911: 908: 905: 904: 901: 900: 897: 894: 892: 889: 888: 882: 880: 877: 875: 872: 871: 865: 863: 860: 858: 855: 854: 848: 846: 844: 842: 839: 838: 832: 830: 827: 825: 822: 821: 817: 814: 811: 808: 807: 804: 802: 798: 794: 786: 784: 782: 778: 774: 765: 761: 757: 755: 747: 733: 728: 726: 721: 719: 714: 713: 711: 710: 707: 704: 703: 696: 693: 691: 688: 686: 683: 681: 678: 676: 673: 671: 668: 666: 663: 659: 656: 654: 651: 649: 646: 645: 644: 643:Alphasyllabic 641: 639: 636: 634: 631: 630: 627: 624: 623: 619: 616: 614: 611: 609: 606: 604: 601: 599: 596: 594: 591: 589: 586: 584: 581: 579: 576: 574: 571: 569: 566: 564: 561: 560: 556: 555: 551: 545: 544: 531: 528: 525: 518: 515: 512: 511: 502: 499: 497: 494: 491: 484: 481: 478: 471: 468: 465: 458: 455: 454: 451: 448: 447: 442: 438: 436: 433: 431: 428: 426: 423: 421: 418: 416: 413: 411: 408: 406: 403: 401: 398: 396: 393: 391: 388: 386: 383: 382: 378: 377: 373: 366: 365: 357: 354: 352: 349: 348: 344: 343: 339: 336: 334: 331: 329: 326: 324: 321: 319: 316: 314: 311: 310: 307: 304: 303: 299: 296: 295: 292: 289: 288: 284: 281: 280: 276:Other systems 272: 271: 264: 261: 259: 258:Counting rods 256: 255: 251: 250: 246: 243: 241: 238: 236: 233: 231: 228: 224: 221: 220: 219: 216: 215: 211: 210: 202: 201: 194: 191: 189: 186: 184: 181: 179: 176: 174: 171: 169: 166: 164: 161: 159: 156: 154: 151: 150: 146: 143: 141: 138: 136: 133: 131: 128: 126: 123: 121: 118: 116: 113: 111: 108: 106: 103: 101: 98: 96: 93: 92: 88: 85: 83: 80: 79: 75: 69: 68: 62: 56: 55: 52: 48: 44: 40: 39: 36: 32: 27: 19: 7773: 7731: 7725: 7719: 7694: 7686: 7674:. Retrieved 7670:the original 7660: 7648:. Retrieved 7639: 7631: 7624:. Retrieved 7620:the original 7613: 7604: 7592:. Retrieved 7586: 7577: 7565:. Retrieved 7559: 7550: 7538:. Retrieved 7529: 7517:. Retrieved 7511: 7502: 7493: 7489: 7485: 7475: 7466: 7434: 7426: 7416: 7410: 7400: 7376: 7369: 7342: 7336: 7326: 7322: 7308: 7282: 7278: 7272: 7258: 7249: 7229: 7225: 7215: 7207: 7189: 7167: 7135: 7125: 7124: 7121:Google Books 7119:– via 7102: 7092: 7083: 7080:Google Books 7078:– via 7051: 7045: 6999: 6988: 6942: 6920: 6916: 6906: 6897: 6893: 6880: 6863: 6859: 6849: 6837:. Retrieved 6820:(1): 56–60. 6817: 6813: 6803: 6791:. Retrieved 6780:(1): 59–84. 6777: 6773: 6763: 6743: 6739: 6727: 6723: 6711: 6707: 6697:November 21, 6695:. Retrieved 6691: 6682: 6667: 6647: 6639: 6622: 6613: 6600: 6591: 6579: 6570: 6557: 6548: 6536: 6527: 6514: 6505: 6493: 6484: 6471: 6462: 6450: 6441: 6428: 6419: 6407: 6398: 6385: 6376: 6364: 6355: 6343: 6334: 6312: 6300: 6288:. Retrieved 6284: 6275: 6263:. Retrieved 6259: 6249: 6233: 6201: 6194: 6185: 6173: 6161:. Retrieved 6155: 6145: 6136: 6123: 6112: 6099: 6085:(1): 37–52. 6082: 6078: 5986: 5898:not a field 5877:not a field 5765:-adic number 5762: 5625: 5588: 5534: 5520: 5513:Beta encoder 5500: 4629: 4606: 4315: 3855:ASCII sticks 3569:DEC RADIX 50 3042:tonal system 2909:Gbiri-Niragu 2903:Middle Belt 2795:Squawk codes 2753:(suspected) 2662: 2631: 2511: 2494:binary clock 2472: 2463: 2452: 2418: 2084:Vai numerals 2055:19th Century 2013:16th Century 1834:13th Century 1792:11th Century 1774:10th Century 1750:10th Century 1507:rod numerals 1432: 1424: 1418: 1412: 1406: 1400: 1394: 1388: 1382: 1376: 1370: 1298: 796: 792: 790: 770: 751: 705: 509: 470:Signed-digit 345:Contemporary 212:Contemporary 35: 26: 7645:"NewBase60" 7594:January 22, 7345:: 305–309, 6114:Unicode.org 5906:Mixed radix 5491:related to 5426:related to 4971:related to 4912:related to 4851:related to 4786:related to 4597:related to 4522:related to 4465:related to 4262:John Colson 4125:Spreadsheet 4090:Tally marks 4002:terminate. 3950:are known. 3871:are known. 3821:Related to 3818:Nonagesimal 3810:are known. 3775:Octogesimal 3684:Sexagesimal 3607:are known. 3593:are known. 3553:Covers the 3160:Greenlandic 3135:languages; 3075:palindromic 3070:Octodecimal 3038:binary data 3031:Hexadecimal 2867:New Zealand 2720:tally marks 2608:fluid ounce 2506:sexagesimal 2453:may not be 1732:9th Century 1714:9th Century 1673:8th Century 1643:(financial) 1616:7th Century 1536:2nd Century 1518:1st Century 1499:<250 BCE 1463:<400 BCE 1443:750–500 BCE 1281:Sino-Korean 775:, that is, 756:characters. 648:Akṣarapallī 618:Tally marks 517:Non-integer 7795:Categories 7676:January 3, 7650:January 3, 7626:August 12, 7567:January 3, 7540:January 3, 7519:January 3, 7419:(2): 67–77 6265:August 15, 6059:References 5931:Fibonorial 5493:duodecimal 4788:duodecimal 4618:Twindragon 4612:Twindragon 4137:numerology 4129:numeration 4082:(Bijective 3879:Centesimal 3839:Number of 3555:duodecimal 3350:Trigesimal 3127:numerals; 2894:Duodecimal 2799:DEC PDP-11 2761:Septimal, 2708:Nunggubuyu 2676:Quaternary 2664:economical 2628:Cantor set 2612:tablespoon 2496:might use 2466:April 2023 1378:Devanagari 685:Glagolitic 658:Kaṭapayādi 626:Alphabetic 530:Asymmetric 372:radix/base 313:Cistercian 298:Babylonian 245:Vietnamese 100:Devanagari 7741:0806.1083 7412:Word Ways 5739:π 5710:π 5680:π 5639:π 5346:− 5317:− 5281:− 5249:− 5172:usage in 4571:ω 4537:ω 4508:ω 4483:ω 4133:John Nash 4108:To avoid 3841:printable 3747:in China. 3322:checksums 3155:vigesimal 3096:Vigesimal 2929:Maldivian 2896:, dozenal 2856:Undecimal 2813:, China) 2763:Septenary 2561:customary 2553:computing 2427:or base. 1474:4&10 1396:Malayalam 950:10&60 878:10&60 861:10&60 828:10&60 653:Āryabhaṭa 598:Kharosthi 490:factorial 457:Bijective 358:(Iñupiaq) 188:Sundanese 183:Mongolian 130:Malayalam 7766:12926540 7583:"Base57" 7556:"Base57" 7535:"Base56" 7508:"Base52" 7463:46702639 7361:12463836 7246:31207427 7226:Genetics 7076:50709582 7047:Language 6839:July 25, 6793:July 24, 6487:. UPenn. 6285:Omniglot 6002:See also 4094:Counting 3767:exists. 3693:Sumerian 3326:gematria 3310:Oksapmin 3168:Kaktovik 3147:5&20 3137:shilling 3125:Dzongkha 2969:shilling 2917:Gwandara 2901:Nigerian 2875:Tanzania 2844:, denary 2739:Diceware 2716:Saraveca 2636:counting 2557:imperial 2455:reliable 2283:5&20 1845:5&20 1505:Chinese 1384:Gujarati 1332:1000 BCE 1325:5&10 1314:1300 BCE 1262:1500 BCE 1006:2000 BCE 939:3000 BCE 884:3100 BCE 867:3100 BCE 680:Georgian 670:Cyrillic 638:Armenian 593:Etruscan 588:Egyptian 496:Negative 356:Kaktovik 351:Cherokee 328:Pentadic 252:Historic 235:Japanese 168:Javanese 158:Balinese 145:Dzongkha 110:Gurmukhi 105:Gujarati 43:a series 41:Part of 7782:p. 254: 7746:Bibcode 7352:2244404 7299:1129012 7166:(ed.). 7144:p. 200: 7085:Amazon. 6925:Bibcode 6834:2840036 6290:June 5, 6163:June 5, 5428:decimal 4853:decimal 4639:base 16 4622:base 16 4327:base 16 4127:column 4033:Degrees 4000:⁠ 3988:⁠ 3984:⁠ 3972:⁠ 3827:repunit 3793:Ascii85 3780:Supyire 3745:I Ching 3713:seconds 3709:minutes 3697:degrees 3498:⁠ 3486:⁠ 3482:⁠ 3470:⁠ 3466:⁠ 3454:⁠ 3407:⁠ 3395:⁠ 3387:⁠ 3375:⁠ 3371:⁠ 3359:⁠ 3330:ternary 3306:Telefol 3226:periods 3222:⁠ 3210:⁠ 3206:⁠ 3194:⁠ 3164:Iñupiaq 3151:Quinary 3129:Santali 3121:Tlingit 2842:Decimal 2832:ternary 2811:I Ching 2734:seximal 2695:Quinary 2661:; 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Index

Base 13
List of types of numbers
a series
Numeral systems
Place-value notation
Hindu–Arabic numerals
Western Arabic
Eastern Arabic
Bengali
Devanagari
Gujarati
Gurmukhi
Odia
Sinhala
Tamil
Malayalam
Telugu
Kannada
Dzongkha
Tibetan
Balinese
Burmese
Javanese
Khmer
Lao
Mongolian
Sundanese
Thai
Chinese
Suzhou

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