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8128

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33: 413:(its divisors 1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, and 4064 add up to 8128), and one of the earliest numbers to be recognized as such. As a perfect number, it is tied to the 116: 431:
is a power of two, and it is a harmonic seed number (though there are deficient and abundant numbers that share these properties).
54: 427:
Another consequence of 8128 being a perfect number is that it has the same prime factors as the sum of its divisors, its
97: 43: 451: 69: 421: 76: 333: 50: 83: 65: 539: 435: 420:, 2 – 1, with 2 (2 – 1) yielding 8128. Also related to its being a perfect number, 8128 is a 439: 212: 509:"Sloane's A060544 : Centered 9-gonal (also known as nonagonal or enneagonal) numbers" 463: 222: 171: 158: 414: 410: 303: 293: 533: 447: 320: 234: 201: 198: 195: 192: 189: 186: 183: 180: 177: 443: 417: 285: 281: 277: 90: 385: 273: 269: 265: 32: 372: 261: 257: 253: 249: 17: 428: 403: 244: 163: 346: 204: 359: 26: 508: 483: 174: 450:, and the fourth 1356-gonal number, as well as the 43rd 384: 371: 358: 345: 332: 319: 302: 292: 243: 233: 221: 211: 134: 57:. Unsourced material may be challenged and removed. 484:"Sloane's A001599 : Harmonic or Ore numbers" 513:The On-Line Encyclopedia of Integer Sequences 488:The On-Line Encyclopedia of Integer Sequences 8: 229:(eight thousand one hundred twenty-eighth) 117:Learn how and when to remove this message 475: 217:eight thousand one hundred twenty-eight 131: 7: 55:adding citations to reliable sources 406:following 8127 and preceding 8129. 25: 31: 409:It is most notable for being a 42:needs additional citations for 1: 556: 452:centered nonagonal number 153: 422:harmonic divisor number 51:improve this article 434:8128 is the 127th 288:, 1016, 2032, 4064 515:. OEIS Foundation 490:. OEIS Foundation 436:triangular number 397: 396: 149: 148: 127: 126: 119: 101: 16:(Redirected from 547: 524: 523: 521: 520: 505: 499: 498: 496: 495: 480: 446:, the eighth 292 440:hexagonal number 314: 310: 136: 135: 132: 122: 115: 111: 108: 102: 100: 59: 35: 27: 21: 555: 554: 550: 549: 548: 546: 545: 544: 530: 529: 528: 527: 518: 516: 507: 506: 502: 493: 491: 482: 481: 477: 472: 464:8128 Nicomachus 460: 393: 380: 367: 354: 341: 328: 312: 311:MMMCXXVIII, or 308: 228: 207: 169: 168: 159:List of numbers 130: 123: 112: 106: 103: 60: 58: 48: 36: 23: 22: 15: 12: 11: 5: 553: 551: 543: 542: 532: 531: 526: 525: 500: 474: 473: 471: 468: 467: 466: 459: 456: 415:Mersenne prime 411:perfect number 395: 394: 391: 388: 382: 381: 378: 375: 369: 368: 365: 362: 356: 355: 352: 349: 343: 342: 339: 336: 330: 329: 326: 323: 317: 316: 306: 300: 299: 296: 290: 289: 247: 241: 240: 237: 231: 230: 225: 219: 218: 215: 209: 208: 170: 167: 166: 161: 155: 154: 151: 150: 147: 146: 143: 140: 129:Natural number 128: 125: 124: 39: 37: 30: 24: 14: 13: 10: 9: 6: 4: 3: 2: 552: 541: 538: 537: 535: 514: 510: 504: 501: 489: 485: 479: 476: 469: 465: 462: 461: 457: 455: 453: 449: 448:-gonal number 445: 441: 437: 432: 430: 425: 423: 419: 416: 412: 407: 405: 401: 389: 387: 383: 376: 374: 370: 363: 361: 357: 350: 348: 344: 337: 335: 331: 325:1111111000000 324: 322: 318: 307: 305: 304:Roman numeral 301: 297: 295: 294:Greek numeral 291: 287: 283: 279: 275: 271: 267: 263: 259: 255: 251: 248: 246: 242: 238: 236: 235:Factorization 232: 226: 224: 220: 216: 214: 210: 206: 203: 200: 197: 194: 191: 188: 185: 182: 179: 176: 173: 165: 162: 160: 157: 156: 152: 144: 141: 138: 137: 133: 121: 118: 110: 99: 96: 92: 89: 85: 82: 78: 75: 71: 68: –  67: 63: 62:Find sources: 56: 52: 46: 45: 40:This article 38: 34: 29: 28: 19: 18:8128 (number) 517:. Retrieved 512: 503: 492:. Retrieved 487: 478: 444:happy number 433: 426: 408: 399: 398: 145:8129 → 139:← 8127 113: 104: 94: 87: 80: 73: 61: 49:Please help 44:verification 41: 438:, the 64th 386:Hexadecimal 519:2016-06-03 494:2016-06-03 470:References 373:Duodecimal 77:newspapers 429:cototient 338:102011001 107:June 2016 540:Integers 534:Category 458:See also 245:Divisors 213:Cardinal 164:Integers 404:integer 402:is the 334:Ternary 315:CXXVIII 239:2 × 127 223:Ordinal 91:scholar 351:101344 347:Senary 321:Binary 298:,ΗΡΚΗ´ 227:8128th 93:  86:  79:  72:  66:"8128" 64:  364:17700 360:Octal 98:JSTOR 84:books 442:, a 400:8128 390:1FC0 377:4854 313:VIII 142:8128 70:news 418:127 286:508 282:254 278:127 53:by 536:: 511:. 486:. 454:. 424:. 392:16 379:12 284:, 280:, 276:, 274:64 272:, 270:32 268:, 266:16 264:, 260:, 256:, 252:, 202:9k 199:8k 196:7k 193:6k 190:5k 187:4k 184:3k 181:2k 178:1k 522:. 497:. 366:8 353:6 340:3 327:2 309:V 262:8 258:4 254:2 250:1 205:→ 175:0 172:← 120:) 114:( 109:) 105:( 95:· 88:· 81:· 74:· 47:. 20:)

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8128 (number)

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