The Integers 8101 to 8200

  • Count(d(N)) is the number of positive divisors of n, including 1 and n itself.
  • σ(N) is the Divisor Function. It represents the sum of all the positive divisors of n, including 1 and n itself.
  • s(N) is the Restricted Divisor Function. It represents the sum of the proper divisors of n, excluding n itself.
  • For a Prime Number, Count(d(N))=2. The only divisors for a Prime Number are 1 and itself.
  • A Deficient Number is greater than the sum of its proper divisors; that is, s(N)<n.
  • An Abundant Number is less than the sum of its proper divisors; that is, s(N)>n.
  • A Perfect Number equals the sum of its proper divisors; that is, s(N)=n.
N Divisors of N Count(d(N)) σ(N) s(N) Prime or Composite Notes
81011, 8101281021PrimeDeficient
81021, 2, 4051, 81024121564054CompositeDeficient
81031, 3, 37, 73, 111, 219, 2701, 81038112483145CompositeDeficient
81041, 2, 4, 8, 1013, 2026, 4052, 81048152107106CompositeDeficient
81051, 5, 1621, 8105497321627CompositeDeficient
81061, 2, 3, 6, 7, 14, 21, 42, 193, 386, 579, 1158, 1351, 2702, 4053, 8106161862410518CompositeAbundant
81071, 11, 67, 121, 737, 810769044937CompositeDeficient
81081, 2, 4, 2027, 4054, 81086141966088CompositeDeficient
81091, 3, 9, 17, 51, 53, 153, 159, 477, 901, 2703, 810912126364527CompositeDeficient
81101, 2, 5, 10, 811, 1622, 4055, 81108146166506CompositeDeficient
81111, 8111281121PrimeDeficient
81121, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 169, 208, 312, 338, 507, 624, 676, 1014, 1352, 2028, 2704, 4056, 8112302269214580CompositeAbundant
81131, 7, 19, 61, 133, 427, 1159, 8113899201807CompositeDeficient
81141, 2, 4057, 81144121744060CompositeDeficient
81151, 3, 5, 15, 541, 1623, 2705, 81158130084893CompositeDeficient
81161, 2, 4, 2029, 4058, 81166142106094CompositeDeficient
81171, 8117281181PrimeDeficient
81181, 2, 3, 6, 9, 11, 18, 22, 33, 41, 66, 82, 99, 123, 198, 246, 369, 451, 738, 902, 1353, 2706, 4059, 8118241965611538CompositeAbundant
81191, 23, 353, 811948496377CompositeDeficient
81201, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120322160013480CompositeAbundant
81211, 3, 2707, 81214108322711CompositeDeficient
81221, 2, 31, 62, 131, 262, 4061, 81228126724550CompositeDeficient
81231, 8123281241PrimeDeficient
81241, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124121898410860CompositeAbundant
81251, 5, 13, 25, 65, 125, 325, 625, 1625, 812510109342809CompositeDeficient
81261, 2, 17, 34, 239, 478, 4063, 81268129604834CompositeDeficient
81271, 3, 7, 9, 21, 27, 43, 63, 129, 189, 301, 387, 903, 1161, 2709, 812716140805953CompositeDeficient
81281, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064, 812814162568128CompositePerfect
81291, 11, 739, 812948880751CompositeDeficient
81301, 2, 3, 5, 6, 10, 15, 30, 271, 542, 813, 1355, 1626, 2710, 4065, 8130161958411454CompositeAbundant
81311, 47, 173, 813148352221CompositeDeficient
81321, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066, 813212151206988CompositeDeficient
81331, 3, 2711, 81334108482715CompositeDeficient
81341, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 813412143646230CompositeDeficient
81351, 5, 1627, 8135497681633CompositeDeficient
81361, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 113, 226, 339, 452, 678, 904, 1017, 1356, 2034, 2712, 4068, 8136242223014094CompositeAbundant
81371, 79, 103, 813748320183CompositeDeficient
81381, 2, 13, 26, 313, 626, 4069, 81388131885050CompositeDeficient
81391, 3, 2713, 81394108562717CompositeDeficient
81401, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140241915211012CompositeAbundant
81411, 7, 1163, 8141493121171CompositeDeficient
81421, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 814216172809138CompositeAbundant
81431, 17, 479, 814348640497CompositeDeficient
81441, 2, 4, 8, 16, 509, 1018, 2036, 4072, 814410158107666CompositeDeficient
81451, 3, 5, 9, 15, 45, 181, 543, 905, 1629, 2715, 814512141966051CompositeDeficient
81461, 2, 4073, 81464122224076CompositeDeficient
81471, 8147281481PrimeDeficient
81481, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148242195213804CompositeAbundant
81491, 29, 281, 814948460311CompositeDeficient
81501, 2, 5, 10, 25, 50, 163, 326, 815, 1630, 4075, 815012152527102CompositeDeficient
81511, 3, 11, 13, 19, 33, 39, 57, 143, 209, 247, 429, 627, 741, 2717, 815116134405289CompositeDeficient
81521, 2, 4, 8, 1019, 2038, 4076, 81528153007148CompositeDeficient
81531, 31, 263, 815348448295CompositeDeficient
81541, 2, 3, 6, 9, 18, 27, 54, 151, 302, 453, 906, 1359, 2718, 4077, 8154161824010086CompositeAbundant
81551, 5, 7, 35, 233, 1165, 1631, 81558112323077CompositeDeficient
81561, 2, 4, 2039, 4078, 81566142806124CompositeDeficient
81571, 3, 2719, 81574108802723CompositeDeficient
81581, 2, 4079, 81584122404082CompositeDeficient
81591, 41, 199, 815948400241CompositeDeficient
81601, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 68, 80, 85, 96, 102, 120, 136, 160, 170, 204, 240, 255, 272, 340, 408, 480, 510, 544, 680, 816, 1020, 1360, 1632, 2040, 2720, 4080, 8160482721619056CompositeAbundant
81611, 8161281621PrimeDeficient
81621, 2, 7, 11, 14, 22, 53, 77, 106, 154, 371, 583, 742, 1166, 4081, 816216155527390CompositeDeficient
81631, 3, 9, 907, 2721, 81636118043641CompositeDeficient
81641, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 816412154847320CompositeDeficient
81651, 5, 23, 71, 115, 355, 1633, 81658103682203CompositeDeficient
81661, 2, 3, 6, 1361, 2722, 4083, 81668163448178CompositeAbundant
81671, 8167281681PrimeDeficient
81681, 2, 4, 8, 1021, 2042, 4084, 81688153307162CompositeDeficient
81691, 3, 7, 21, 389, 1167, 2723, 81698124804311CompositeDeficient
81701, 2, 5, 10, 19, 38, 43, 86, 95, 190, 215, 430, 817, 1634, 4085, 817016158407670CompositeDeficient
81711, 8171281721PrimeDeficient
81721, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 8172182074812576CompositeAbundant
81731, 11, 743, 817348928755CompositeDeficient
81741, 2, 61, 67, 122, 134, 4087, 81748126484474CompositeDeficient
81751, 3, 5, 15, 25, 75, 109, 327, 545, 1635, 2725, 817512136405465CompositeDeficient
81761, 2, 4, 7, 8, 14, 16, 28, 56, 73, 112, 146, 292, 511, 584, 1022, 1168, 2044, 4088, 8176201835210176CompositeAbundant
81771, 13, 17, 37, 221, 481, 629, 8177895761399CompositeDeficient
81781, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089, 817816172809102CompositeAbundant
81791, 8179281801PrimeDeficient
81801, 2, 4, 5, 10, 20, 409, 818, 1636, 2045, 4090, 818012172209040CompositeAbundant
81811, 3, 9, 27, 81, 101, 303, 909, 2727, 818110123424161CompositeDeficient
81821, 2, 4091, 81824122764094CompositeDeficient
81831, 7, 49, 167, 1169, 8183695761393CompositeDeficient
81841, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 124, 132, 186, 248, 264, 341, 372, 682, 744, 1023, 1364, 2046, 2728, 4092, 8184322304014856CompositeAbundant
81851, 5, 1637, 8185498281643CompositeDeficient
81861, 2, 4093, 81864122824096CompositeDeficient
81871, 3, 2729, 81874109202733CompositeDeficient
81881, 2, 4, 23, 46, 89, 92, 178, 356, 2047, 4094, 818812151206932CompositeDeficient
81891, 19, 431, 818948640451CompositeDeficient
81901, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 63, 65, 70, 78, 90, 91, 105, 117, 126, 130, 182, 195, 210, 234, 273, 315, 390, 455, 546, 585, 630, 819, 910, 1170, 1365, 1638, 2730, 4095, 8190482620818018CompositeAbundant
81911, 8191281921PrimeDeficient
81921, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 819214163838191CompositeDeficient
81931, 3, 2731, 81934109282735CompositeDeficient
81941, 2, 17, 34, 241, 482, 4097, 81948130684874CompositeDeficient
81951, 5, 11, 55, 149, 745, 1639, 81958108002605CompositeDeficient
81961, 2, 3, 4, 6, 12, 683, 1366, 2049, 2732, 4098, 8196121915210956CompositeAbundant
81971, 7, 1171, 8197493761179CompositeDeficient
81981, 2, 4099, 81984123004102CompositeDeficient
81991, 3, 9, 911, 2733, 81996118563657CompositeDeficient
82001, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205, 328, 410, 820, 1025, 1640, 2050, 4100, 8200241953011330CompositeAbundant