The Integers 4001 to 4100

  • 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
40011, 4001240021PrimeDeficient
40021, 2, 3, 6, 23, 29, 46, 58, 69, 87, 138, 174, 667, 1334, 2001, 40021686404638CompositeAbundant
40031, 4003240041PrimeDeficient
40041, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 143, 154, 182, 286, 308, 364, 572, 1001, 2002, 40042494085404CompositeAbundant
40051, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335, 40051270203015CompositeDeficient
40061, 2, 2003, 4006460122006CompositeDeficient
40071, 4007240081PrimeDeficient
40081, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004, 400816100806072CompositeAbundant
40091, 19, 211, 400944240231CompositeDeficient
40101, 2, 5, 10, 401, 802, 2005, 4010872363226CompositeDeficient
40111, 3, 7, 21, 191, 573, 1337, 4011861442133CompositeDeficient
40121, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006, 40121275603548CompositeDeficient
40131, 4013240141PrimeDeficient
40141, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 40141287364722CompositeAbundant
40151, 5, 11, 55, 73, 365, 803, 4015853281313CompositeDeficient
40161, 2, 4, 8, 16, 251, 502, 1004, 2008, 40161078123796CompositeDeficient
40171, 3, 13, 39, 103, 309, 1339, 4017858241807CompositeDeficient
40181, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 40181271823164CompositeDeficient
40191, 4019240201PrimeDeficient
40201, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010, 402024114247404CompositeAbundant
40211, 4021240221PrimeDeficient
40221, 2, 2011, 4022460362014CompositeDeficient
40231, 3, 9, 27, 149, 447, 1341, 4023860001977CompositeDeficient
40241, 2, 4, 8, 503, 1006, 2012, 4024875603536CompositeDeficient
40251, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 40251259521927CompositeDeficient
40261, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 40261689284902CompositeAbundant
40271, 4027240281PrimeDeficient
40281, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 40281275603532CompositeDeficient
40291, 3, 17, 51, 79, 237, 1343, 4029857601731CompositeDeficient
40301, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 40301680644034CompositeAbundant
40311, 29, 139, 403144200169CompositeDeficient
40321, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 144, 168, 192, 224, 252, 288, 336, 448, 504, 576, 672, 1008, 1344, 2016, 403242132089176CompositeAbundant
40331, 37, 109, 403344180147CompositeDeficient
40341, 2, 2017, 4034460542020CompositeDeficient
40351, 3, 5, 15, 269, 807, 1345, 4035864802445CompositeDeficient
40361, 2, 4, 1009, 2018, 4036670703034CompositeDeficient
40371, 11, 367, 403744416379CompositeDeficient
40381, 2, 3, 6, 673, 1346, 2019, 4038880884050CompositeAbundant
40391, 7, 577, 403944624585CompositeDeficient
40401, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 40401691805140CompositeAbundant
40411, 3, 9, 449, 1347, 4041658501809CompositeDeficient
40421, 2, 43, 47, 86, 94, 2021, 4042863362294CompositeDeficient
40431, 13, 311, 404344368325CompositeDeficient
40441, 2, 3, 4, 6, 12, 337, 674, 1011, 1348, 2022, 40441294645420CompositeAbundant
40451, 5, 809, 404544860815CompositeDeficient
40461, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 40461273683322CompositeDeficient
40471, 3, 19, 57, 71, 213, 1349, 4047857601713CompositeDeficient
40481, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 1012, 2024, 40482089284880CompositeAbundant
40491, 4049240501PrimeDeficient
40501, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 405030112537203CompositeAbundant
40511, 4051240521PrimeDeficient
40521, 2, 4, 1013, 2026, 4052670983046CompositeDeficient
40531, 3, 7, 21, 193, 579, 1351, 4053862082155CompositeDeficient
40541, 2, 2027, 4054460842030CompositeDeficient
40551, 5, 811, 405544872817CompositeDeficient
40561, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 169, 312, 338, 507, 676, 1014, 1352, 2028, 405624109806924CompositeAbundant
40571, 4057240581PrimeDeficient
40581, 2, 2029, 4058460902032CompositeDeficient
40591, 3, 9, 11, 33, 41, 99, 123, 369, 451, 1353, 40591265522493CompositeDeficient
40601, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030, 406024100806020CompositeAbundant
40611, 31, 131, 406144224163CompositeDeficient
40621, 2, 3, 6, 677, 1354, 2031, 4062881364074CompositeAbundant
40631, 17, 239, 406344320257CompositeDeficient
40641, 2, 4, 8, 16, 32, 127, 254, 508, 1016, 2032, 40641280644000CompositeDeficient
40651, 3, 5, 15, 271, 813, 1355, 4065865282463CompositeDeficient
40661, 2, 19, 38, 107, 214, 2033, 4066864802414CompositeDeficient
40671, 7, 49, 83, 581, 406764788721CompositeDeficient
40681, 2, 3, 4, 6, 9, 12, 18, 36, 113, 226, 339, 452, 678, 1017, 1356, 2034, 406818103746306CompositeAbundant
40691, 13, 313, 406944396327CompositeDeficient
40701, 2, 5, 10, 11, 22, 37, 55, 74, 110, 185, 370, 407, 814, 2035, 40701682084138CompositeAbundant
40711, 3, 23, 59, 69, 177, 1357, 4071857601689CompositeDeficient
40721, 2, 4, 8, 509, 1018, 2036, 4072876503578CompositeDeficient
40731, 4073240741PrimeDeficient
40741, 2, 3, 6, 7, 14, 21, 42, 97, 194, 291, 582, 679, 1358, 2037, 40741694085334CompositeAbundant
40751, 5, 25, 163, 815, 4075650841009CompositeDeficient
40761, 2, 4, 1019, 2038, 4076671403064CompositeDeficient
40771, 3, 9, 27, 151, 453, 1359, 4077860802003CompositeDeficient
40781, 2, 2039, 4078461202042CompositeDeficient
40791, 4079240801PrimeDeficient
40801, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 408040133929312CompositeAbundant
40811, 7, 11, 53, 77, 371, 583, 4081851841103CompositeDeficient
40821, 2, 13, 26, 157, 314, 2041, 4082866362554CompositeDeficient
40831, 3, 1361, 4083454481365CompositeDeficient
40841, 2, 4, 1021, 2042, 4084671543070CompositeDeficient
40851, 5, 19, 43, 95, 215, 817, 4085852801195CompositeDeficient
40861, 2, 3, 6, 9, 18, 227, 454, 681, 1362, 2043, 40861288924806CompositeAbundant
40871, 61, 67, 408744216129CompositeDeficient
40881, 2, 4, 7, 8, 14, 28, 56, 73, 146, 292, 511, 584, 1022, 2044, 40881688804792CompositeAbundant
40891, 3, 29, 47, 87, 141, 1363, 4089857601671CompositeDeficient
40901, 2, 5, 10, 409, 818, 2045, 4090873803290CompositeDeficient
40911, 4091240921PrimeDeficient
40921, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 409224107526660CompositeAbundant
40931, 4093240941PrimeDeficient
40941, 2, 23, 46, 89, 178, 2047, 4094864802386CompositeDeficient
40951, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365, 40952487364641CompositeAbundant
40961, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 40961381914095CompositeDeficient
40971, 17, 241, 409744356259CompositeDeficient
40981, 2, 3, 6, 683, 1366, 2049, 4098882084110CompositeAbundant
40991, 4099241001PrimeDeficient
41001, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 41001891145014CompositeAbundant