The Integers 9901 to 10000

  • 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
99011, 9901299021PrimeDeficient
99021, 2, 4951, 99024148564954CompositeDeficient
99031, 3, 3301, 99034132083305CompositeDeficient
99041, 2, 4, 8, 16, 619, 1238, 2476, 4952, 990410192209316CompositeDeficient
99051, 5, 7, 35, 283, 1415, 1981, 99058136323727CompositeDeficient
99061, 2, 3, 6, 13, 26, 39, 78, 127, 254, 381, 762, 1651, 3302, 4953, 9906162150411598CompositeAbundant
99071, 9907299081PrimeDeficient
99081, 2, 4, 2477, 4954, 99086173467438CompositeDeficient
99091, 3, 9, 27, 367, 1101, 3303, 99098147204811CompositeDeficient
99101, 2, 5, 10, 991, 1982, 4955, 99108178567946CompositeDeficient
99111, 11, 17, 53, 187, 583, 901, 99118116641753CompositeDeficient
99121, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 59, 84, 118, 168, 177, 236, 354, 413, 472, 708, 826, 1239, 1416, 1652, 2478, 3304, 4956, 9912322880018888CompositeAbundant
99131, 23, 431, 9913410368455CompositeDeficient
99141, 2, 4957, 99144148744960CompositeDeficient
99151, 3, 5, 15, 661, 1983, 3305, 99158158885973CompositeDeficient
99161, 2, 4, 37, 67, 74, 134, 148, 268, 2479, 4958, 991612180888172CompositeDeficient
99171, 47, 211, 9917410176259CompositeDeficient
99181, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918242340013482CompositeAbundant
99191, 7, 13, 91, 109, 763, 1417, 99198123202401CompositeDeficient
99201, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960, 9920282438414464CompositeAbundant
99211, 3, 3307, 99214132323311CompositeDeficient
99221, 2, 11, 22, 41, 82, 121, 242, 451, 902, 4961, 992212167586836CompositeDeficient
99231, 9923299241PrimeDeficient
99241, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962, 9924122318413260CompositeAbundant
99251, 5, 25, 397, 1985, 99256123382413CompositeDeficient
99261, 2, 7, 14, 709, 1418, 4963, 99268170407114CompositeDeficient
99271, 3, 9, 1103, 3309, 99276143524425CompositeDeficient
99281, 2, 4, 8, 17, 34, 68, 73, 136, 146, 292, 584, 1241, 2482, 4964, 9928161998010052CompositeAbundant
99291, 9929299301PrimeDeficient
99301, 2, 3, 5, 6, 10, 15, 30, 331, 662, 993, 1655, 1986, 3310, 4965, 9930162390413974CompositeAbundant
99311, 9931299321PrimeDeficient
99321, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 993212188168884CompositeDeficient
99331, 3, 7, 11, 21, 33, 43, 77, 129, 231, 301, 473, 903, 1419, 3311, 993316168966963CompositeDeficient
99341, 2, 4967, 99344149044970CompositeDeficient
99351, 5, 1987, 99354119281993CompositeDeficient
99361, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 92, 108, 138, 144, 184, 207, 216, 276, 368, 414, 432, 552, 621, 828, 1104, 1242, 1656, 2484, 3312, 4968, 9936402976019824CompositeAbundant
99371, 19, 523, 9937410480543CompositeDeficient
99381, 2, 4969, 99384149104972CompositeDeficient
99391, 3, 3313, 99394132563317CompositeDeficient
99401, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940242419214252CompositeAbundant
99411, 9941299421PrimeDeficient
99421, 2, 3, 6, 1657, 3314, 4971, 99428198969954CompositeAbundant
99431, 61, 163, 9943410168225CompositeDeficient
99441, 2, 4, 8, 11, 22, 44, 88, 113, 226, 452, 904, 1243, 2486, 4972, 9944162052010576CompositeAbundant
99451, 3, 5, 9, 13, 15, 17, 39, 45, 51, 65, 85, 117, 153, 195, 221, 255, 585, 663, 765, 1105, 1989, 3315, 994524196569711CompositeDeficient
99461, 2, 4973, 99464149224976CompositeDeficient
99471, 7, 29, 49, 203, 343, 1421, 99478120002053CompositeDeficient
99481, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948122324013292CompositeAbundant
99491, 9949299501PrimeDeficient
99501, 2, 5, 10, 25, 50, 199, 398, 995, 1990, 4975, 995012186008650CompositeDeficient
99511, 3, 31, 93, 107, 321, 3317, 99518138243873CompositeDeficient
99521, 2, 4, 8, 16, 32, 311, 622, 1244, 2488, 4976, 995212196569704CompositeDeficient
99531, 37, 269, 9953410260307CompositeDeficient
99541, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 79, 126, 158, 237, 474, 553, 711, 1106, 1422, 1659, 3318, 4977, 9954242496015006CompositeAbundant
99551, 5, 11, 55, 181, 905, 1991, 99558131043149CompositeDeficient
99561, 2, 4, 19, 38, 76, 131, 262, 524, 2489, 4978, 995612184808524CompositeDeficient
99571, 3, 3319, 99574132803323CompositeDeficient
99581, 2, 13, 26, 383, 766, 4979, 99588161286170CompositeDeficient
99591, 23, 433, 9959410416457CompositeDeficient
99601, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980, 9960323024020280CompositeAbundant
99611, 7, 1423, 99614113921431CompositeDeficient
99621, 2, 17, 34, 293, 586, 4981, 99628158765914CompositeDeficient
99631, 3, 9, 27, 41, 81, 123, 243, 369, 1107, 3321, 996312152885325CompositeDeficient
99641, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 996412181448180CompositeDeficient
99651, 5, 1993, 99654119641999CompositeDeficient
99661, 2, 3, 6, 11, 22, 33, 66, 151, 302, 453, 906, 1661, 3322, 4983, 9966162188811922CompositeAbundant
99671, 9967299681PrimeDeficient
99681, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968202232012352CompositeAbundant
99691, 3, 3323, 99694132963327CompositeDeficient
99701, 2, 5, 10, 997, 1994, 4985, 99708179647994CompositeDeficient
99711, 13, 59, 169, 767, 99716109801009CompositeDeficient
99721, 2, 3, 4, 6, 9, 12, 18, 36, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 9972182529815326CompositeAbundant
99731, 9973299741PrimeDeficient
99741, 2, 4987, 99744149644990CompositeDeficient
99751, 3, 5, 7, 15, 19, 21, 25, 35, 57, 75, 95, 105, 133, 175, 285, 399, 475, 525, 665, 1425, 1995, 3325, 997524198409865CompositeDeficient
99761, 2, 4, 8, 29, 43, 58, 86, 116, 172, 232, 344, 1247, 2494, 4988, 997616198009824CompositeDeficient
99771, 11, 907, 9977410896919CompositeDeficient
99781, 2, 3, 6, 1663, 3326, 4989, 99788199689990CompositeAbundant
99791, 17, 587, 9979410584605CompositeDeficient
99801, 2, 4, 5, 10, 20, 499, 998, 1996, 2495, 4990, 9980122100011020CompositeAbundant
99811, 3, 9, 1109, 3327, 99816144304449CompositeDeficient
99821, 2, 7, 14, 23, 31, 46, 62, 161, 217, 322, 434, 713, 1426, 4991, 998216184328450CompositeDeficient
99831, 67, 149, 9983410200217CompositeDeficient
99841, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 256, 312, 384, 416, 624, 768, 832, 1248, 1664, 2496, 3328, 4992, 9984362861618632CompositeAbundant
99851, 5, 1997, 99854119882003CompositeDeficient
99861, 2, 4993, 99864149824996CompositeDeficient
99871, 3, 3329, 99874133203333CompositeDeficient
99881, 2, 4, 11, 22, 44, 227, 454, 908, 2497, 4994, 998812191529164CompositeDeficient
99891, 7, 1427, 99894114241435CompositeDeficient
99901, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 37, 45, 54, 74, 90, 111, 135, 185, 222, 270, 333, 370, 555, 666, 999, 1110, 1665, 1998, 3330, 4995, 9990322736017370CompositeAbundant
99911, 97, 103, 9991410192201CompositeDeficient
99921, 2, 4, 8, 1249, 2498, 4996, 99928187508758CompositeDeficient
99931, 3, 3331, 99934133283335CompositeDeficient
99941, 2, 19, 38, 263, 526, 4997, 99948158405846CompositeDeficient
99951, 5, 1999, 99954120002005CompositeDeficient
99961, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996362872818732CompositeAbundant
99971, 13, 769, 9997410780783CompositeDeficient
99981, 2, 4999, 99984150005002CompositeDeficient
99991, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 999912159125913CompositeDeficient
100001, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, 10000252421114211CompositeAbundant