The Integers 8201 to 8300

  • 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
82011, 59, 139, 820148400199CompositeDeficient
82021, 2, 3, 6, 1367, 2734, 4101, 82028164168214CompositeAbundant
82031, 13, 631, 820348848645CompositeDeficient
82041, 2, 4, 7, 14, 28, 293, 586, 1172, 2051, 4102, 820412164648260CompositeAbundant
82051, 3, 5, 15, 547, 1641, 2735, 82058131524947CompositeDeficient
82061, 2, 11, 22, 373, 746, 4103, 82068134645258CompositeDeficient
82071, 29, 283, 820748520313CompositeDeficient
82081, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 108, 114, 144, 152, 171, 216, 228, 304, 342, 432, 456, 513, 684, 912, 1026, 1368, 2052, 2736, 4104, 8208402480016592CompositeAbundant
82091, 8209282101PrimeDeficient
82101, 2, 5, 10, 821, 1642, 4105, 82108147966586CompositeDeficient
82111, 3, 7, 17, 21, 23, 51, 69, 119, 161, 357, 391, 483, 1173, 2737, 821116138245613CompositeDeficient
82121, 2, 4, 2053, 4106, 82126143786166CompositeDeficient
82131, 43, 191, 821348448235CompositeDeficient
82141, 2, 3, 6, 37, 74, 111, 222, 1369, 2738, 4107, 821412168848670CompositeAbundant
82151, 5, 31, 53, 155, 265, 1643, 82158103682153CompositeDeficient
82161, 2, 4, 8, 13, 26, 52, 79, 104, 158, 316, 632, 1027, 2054, 4108, 821616168008584CompositeAbundant
82171, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 821712131044887CompositeDeficient
82181, 2, 7, 14, 587, 1174, 4109, 82188141125894CompositeDeficient
82191, 8219282201PrimeDeficient
82201, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220242318414964CompositeAbundant
82211, 8221282221PrimeDeficient
82221, 2, 4111, 82224123364114CompositeDeficient
82231, 3, 2741, 82234109682745CompositeDeficient
82241, 2, 4, 8, 16, 32, 257, 514, 1028, 2056, 4112, 822412162548030CompositeDeficient
82251, 5, 7, 25, 35, 47, 175, 235, 329, 1175, 1645, 822512119043679CompositeDeficient
82261, 2, 3, 6, 9, 18, 457, 914, 1371, 2742, 4113, 822612178629636CompositeAbundant
82271, 19, 433, 822748680453CompositeDeficient
82281, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114, 822818167588530CompositeAbundant
82291, 3, 13, 39, 211, 633, 2743, 82298118723643CompositeDeficient
82301, 2, 5, 10, 823, 1646, 4115, 82308148326602CompositeDeficient
82311, 8231282321PrimeDeficient
82321, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116, 8232322400015768CompositeAbundant
82331, 8233282341PrimeDeficient
82341, 2, 23, 46, 179, 358, 4117, 82348129604726CompositeDeficient
82351, 3, 5, 9, 15, 27, 45, 61, 135, 183, 305, 549, 915, 1647, 2745, 823516148806645CompositeDeficient
82361, 2, 4, 29, 58, 71, 116, 142, 284, 2059, 4118, 823612151206884CompositeDeficient
82371, 8237282381PrimeDeficient
82381, 2, 3, 6, 1373, 2746, 4119, 82388164888250CompositeAbundant
82391, 7, 11, 77, 107, 749, 1177, 82398103682129CompositeDeficient
82401, 2, 4, 5, 8, 10, 16, 20, 40, 80, 103, 206, 412, 515, 824, 1030, 1648, 2060, 4120, 8240201934411104CompositeAbundant
82411, 3, 41, 67, 123, 201, 2747, 82418114243183CompositeDeficient
82421, 2, 13, 26, 317, 634, 4121, 82428133565114CompositeDeficient
82431, 8243282441PrimeDeficient
82441, 2, 3, 4, 6, 9, 12, 18, 36, 229, 458, 687, 916, 1374, 2061, 2748, 4122, 8244182093012686CompositeAbundant
82451, 5, 17, 85, 97, 485, 1649, 82458105842339CompositeDeficient
82461, 2, 7, 14, 19, 31, 38, 62, 133, 217, 266, 434, 589, 1178, 4123, 824616153607114CompositeDeficient
82471, 3, 2749, 82474110002753CompositeDeficient
82481, 2, 4, 8, 1031, 2062, 4124, 82488154807232CompositeDeficient
82491, 73, 113, 824948436187CompositeDeficient
82501, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250322246414214CompositeAbundant
82511, 37, 223, 825148512261CompositeDeficient
82521, 2, 4, 2063, 4126, 82526144486196CompositeDeficient
82531, 3, 7, 9, 21, 63, 131, 393, 917, 1179, 2751, 825312137285475CompositeDeficient
82541, 2, 4127, 82544123844130CompositeDeficient
82551, 5, 13, 65, 127, 635, 1651, 82558107522497CompositeDeficient
82561, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256282235214096CompositeAbundant
82571, 23, 359, 825748640383CompositeDeficient
82581, 2, 4129, 82584123904132CompositeDeficient
82591, 3, 2753, 82594110162757CompositeDeficient
82601, 2, 4, 5, 7, 10, 14, 20, 28, 35, 59, 70, 118, 140, 236, 295, 413, 590, 826, 1180, 1652, 2065, 4130, 8260242016011900CompositeAbundant
82611, 11, 751, 826149024763CompositeDeficient
82621, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 918, 1377, 2754, 4131, 8262241965611394CompositeAbundant
82631, 8263282641PrimeDeficient
82641, 2, 4, 8, 1033, 2066, 4132, 82648155107246CompositeDeficient
82651, 3, 5, 15, 19, 29, 57, 87, 95, 145, 285, 435, 551, 1653, 2755, 826516144006135CompositeDeficient
82661, 2, 4133, 82664124024136CompositeDeficient
82671, 7, 1181, 8267494561189CompositeDeficient
82681, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134, 8268242116812900CompositeAbundant
82691, 8269282701PrimeDeficient
82701, 2, 5, 10, 827, 1654, 4135, 82708149046634CompositeDeficient
82711, 3, 9, 919, 2757, 82716119603689CompositeDeficient
82721, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 176, 188, 376, 517, 752, 1034, 2068, 4136, 827220178569584CompositeAbundant
82731, 8273282741PrimeDeficient
82741, 2, 3, 6, 7, 14, 21, 42, 197, 394, 591, 1182, 1379, 2758, 4137, 8274161900810734CompositeAbundant
82751, 5, 25, 331, 1655, 82756102922017CompositeDeficient
82761, 2, 4, 2069, 4138, 82766144906214CompositeDeficient
82771, 3, 31, 89, 93, 267, 2759, 82778115203243CompositeDeficient
82781, 2, 4139, 82784124204142CompositeDeficient
82791, 17, 487, 827948784505CompositeDeficient
82801, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 30, 36, 40, 45, 46, 60, 69, 72, 90, 92, 115, 120, 138, 180, 184, 207, 230, 276, 345, 360, 414, 460, 552, 690, 828, 920, 1035, 1380, 1656, 2070, 2760, 4140, 8280482808019800CompositeAbundant
82811, 7, 13, 49, 91, 169, 637, 1183, 82819104312150CompositeDeficient
82821, 2, 41, 82, 101, 202, 4141, 82828128524570CompositeDeficient
82831, 3, 11, 33, 251, 753, 2761, 82838120963813CompositeDeficient
82841, 2, 4, 19, 38, 76, 109, 218, 436, 2071, 4142, 828412154007116CompositeDeficient
82851, 5, 1657, 8285499481663CompositeDeficient
82861, 2, 3, 6, 1381, 2762, 4143, 82868165848298CompositeAbundant
82871, 8287282881PrimeDeficient
82881, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 74, 112, 148, 224, 259, 296, 518, 592, 1036, 1184, 2072, 4144, 8288241915210864CompositeAbundant
82891, 3, 9, 27, 307, 921, 2763, 82898123204031CompositeDeficient
82901, 2, 5, 10, 829, 1658, 4145, 82908149406650CompositeDeficient
82911, 8291282921PrimeDeficient
82921, 2, 3, 4, 6, 12, 691, 1382, 2073, 2764, 4146, 8292121937611084CompositeAbundant
82931, 8293282941PrimeDeficient
82941, 2, 11, 13, 22, 26, 29, 58, 143, 286, 319, 377, 638, 754, 4147, 829416151206826CompositeDeficient
82951, 3, 5, 7, 15, 21, 35, 79, 105, 237, 395, 553, 1185, 1659, 2765, 829516153607065CompositeDeficient
82961, 2, 4, 8, 17, 34, 61, 68, 122, 136, 244, 488, 1037, 2074, 4148, 829616167408444CompositeAbundant
82971, 8297282981PrimeDeficient
82981, 2, 3, 6, 9, 18, 461, 922, 1383, 2766, 4149, 829812180189720CompositeAbundant
82991, 43, 193, 829948536237CompositeDeficient
83001, 2, 4, 5, 10, 20, 25, 50, 83, 100, 166, 332, 415, 830, 1660, 2075, 4150, 830018182289928CompositeAbundant