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
9901	1, 9901	2	9902	1	Prime	Deficient
9902	1, 2, 4951, 9902	4	14856	4954	Composite	Deficient
9903	1, 3, 3301, 9903	4	13208	3305	Composite	Deficient
9904	1, 2, 4, 8, 16, 619, 1238, 2476, 4952, 9904	10	19220	9316	Composite	Deficient
9905	1, 5, 7, 35, 283, 1415, 1981, 9905	8	13632	3727	Composite	Deficient
9906	1, 2, 3, 6, 13, 26, 39, 78, 127, 254, 381, 762, 1651, 3302, 4953, 9906	16	21504	11598	Composite	Abundant
9907	1, 9907	2	9908	1	Prime	Deficient
9908	1, 2, 4, 2477, 4954, 9908	6	17346	7438	Composite	Deficient
9909	1, 3, 9, 27, 367, 1101, 3303, 9909	8	14720	4811	Composite	Deficient
9910	1, 2, 5, 10, 991, 1982, 4955, 9910	8	17856	7946	Composite	Deficient
9911	1, 11, 17, 53, 187, 583, 901, 9911	8	11664	1753	Composite	Deficient
9912	1, 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, 9912	32	28800	18888	Composite	Abundant
9913	1, 23, 431, 9913	4	10368	455	Composite	Deficient
9914	1, 2, 4957, 9914	4	14874	4960	Composite	Deficient
9915	1, 3, 5, 15, 661, 1983, 3305, 9915	8	15888	5973	Composite	Deficient
9916	1, 2, 4, 37, 67, 74, 134, 148, 268, 2479, 4958, 9916	12	18088	8172	Composite	Deficient
9917	1, 47, 211, 9917	4	10176	259	Composite	Deficient
9918	1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918	24	23400	13482	Composite	Abundant
9919	1, 7, 13, 91, 109, 763, 1417, 9919	8	12320	2401	Composite	Deficient
9920	1, 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, 9920	28	24384	14464	Composite	Abundant
9921	1, 3, 3307, 9921	4	13232	3311	Composite	Deficient
9922	1, 2, 11, 22, 41, 82, 121, 242, 451, 902, 4961, 9922	12	16758	6836	Composite	Deficient
9923	1, 9923	2	9924	1	Prime	Deficient
9924	1, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962, 9924	12	23184	13260	Composite	Abundant
9925	1, 5, 25, 397, 1985, 9925	6	12338	2413	Composite	Deficient
9926	1, 2, 7, 14, 709, 1418, 4963, 9926	8	17040	7114	Composite	Deficient
9927	1, 3, 9, 1103, 3309, 9927	6	14352	4425	Composite	Deficient
9928	1, 2, 4, 8, 17, 34, 68, 73, 136, 146, 292, 584, 1241, 2482, 4964, 9928	16	19980	10052	Composite	Abundant
9929	1, 9929	2	9930	1	Prime	Deficient
9930	1, 2, 3, 5, 6, 10, 15, 30, 331, 662, 993, 1655, 1986, 3310, 4965, 9930	16	23904	13974	Composite	Abundant
9931	1, 9931	2	9932	1	Prime	Deficient
9932	1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932	12	18816	8884	Composite	Deficient
9933	1, 3, 7, 11, 21, 33, 43, 77, 129, 231, 301, 473, 903, 1419, 3311, 9933	16	16896	6963	Composite	Deficient
9934	1, 2, 4967, 9934	4	14904	4970	Composite	Deficient
9935	1, 5, 1987, 9935	4	11928	1993	Composite	Deficient
9936	1, 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, 9936	40	29760	19824	Composite	Abundant
9937	1, 19, 523, 9937	4	10480	543	Composite	Deficient
9938	1, 2, 4969, 9938	4	14910	4972	Composite	Deficient
9939	1, 3, 3313, 9939	4	13256	3317	Composite	Deficient
9940	1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940	24	24192	14252	Composite	Abundant
9941	1, 9941	2	9942	1	Prime	Deficient
9942	1, 2, 3, 6, 1657, 3314, 4971, 9942	8	19896	9954	Composite	Abundant
9943	1, 61, 163, 9943	4	10168	225	Composite	Deficient
9944	1, 2, 4, 8, 11, 22, 44, 88, 113, 226, 452, 904, 1243, 2486, 4972, 9944	16	20520	10576	Composite	Abundant
9945	1, 3, 5, 9, 13, 15, 17, 39, 45, 51, 65, 85, 117, 153, 195, 221, 255, 585, 663, 765, 1105, 1989, 3315, 9945	24	19656	9711	Composite	Deficient
9946	1, 2, 4973, 9946	4	14922	4976	Composite	Deficient
9947	1, 7, 29, 49, 203, 343, 1421, 9947	8	12000	2053	Composite	Deficient
9948	1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948	12	23240	13292	Composite	Abundant
9949	1, 9949	2	9950	1	Prime	Deficient
9950	1, 2, 5, 10, 25, 50, 199, 398, 995, 1990, 4975, 9950	12	18600	8650	Composite	Deficient
9951	1, 3, 31, 93, 107, 321, 3317, 9951	8	13824	3873	Composite	Deficient
9952	1, 2, 4, 8, 16, 32, 311, 622, 1244, 2488, 4976, 9952	12	19656	9704	Composite	Deficient
9953	1, 37, 269, 9953	4	10260	307	Composite	Deficient
9954	1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 79, 126, 158, 237, 474, 553, 711, 1106, 1422, 1659, 3318, 4977, 9954	24	24960	15006	Composite	Abundant
9955	1, 5, 11, 55, 181, 905, 1991, 9955	8	13104	3149	Composite	Deficient
9956	1, 2, 4, 19, 38, 76, 131, 262, 524, 2489, 4978, 9956	12	18480	8524	Composite	Deficient
9957	1, 3, 3319, 9957	4	13280	3323	Composite	Deficient
9958	1, 2, 13, 26, 383, 766, 4979, 9958	8	16128	6170	Composite	Deficient
9959	1, 23, 433, 9959	4	10416	457	Composite	Deficient
9960	1, 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, 9960	32	30240	20280	Composite	Abundant
9961	1, 7, 1423, 9961	4	11392	1431	Composite	Deficient
9962	1, 2, 17, 34, 293, 586, 4981, 9962	8	15876	5914	Composite	Deficient
9963	1, 3, 9, 27, 41, 81, 123, 243, 369, 1107, 3321, 9963	12	15288	5325	Composite	Deficient
9964	1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964	12	18144	8180	Composite	Deficient
9965	1, 5, 1993, 9965	4	11964	1999	Composite	Deficient
9966	1, 2, 3, 6, 11, 22, 33, 66, 151, 302, 453, 906, 1661, 3322, 4983, 9966	16	21888	11922	Composite	Abundant
9967	1, 9967	2	9968	1	Prime	Deficient
9968	1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968	20	22320	12352	Composite	Abundant
9969	1, 3, 3323, 9969	4	13296	3327	Composite	Deficient
9970	1, 2, 5, 10, 997, 1994, 4985, 9970	8	17964	7994	Composite	Deficient
9971	1, 13, 59, 169, 767, 9971	6	10980	1009	Composite	Deficient
9972	1, 2, 3, 4, 6, 9, 12, 18, 36, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 9972	18	25298	15326	Composite	Abundant
9973	1, 9973	2	9974	1	Prime	Deficient
9974	1, 2, 4987, 9974	4	14964	4990	Composite	Deficient
9975	1, 3, 5, 7, 15, 19, 21, 25, 35, 57, 75, 95, 105, 133, 175, 285, 399, 475, 525, 665, 1425, 1995, 3325, 9975	24	19840	9865	Composite	Deficient
9976	1, 2, 4, 8, 29, 43, 58, 86, 116, 172, 232, 344, 1247, 2494, 4988, 9976	16	19800	9824	Composite	Deficient
9977	1, 11, 907, 9977	4	10896	919	Composite	Deficient
9978	1, 2, 3, 6, 1663, 3326, 4989, 9978	8	19968	9990	Composite	Abundant
9979	1, 17, 587, 9979	4	10584	605	Composite	Deficient
9980	1, 2, 4, 5, 10, 20, 499, 998, 1996, 2495, 4990, 9980	12	21000	11020	Composite	Abundant
9981	1, 3, 9, 1109, 3327, 9981	6	14430	4449	Composite	Deficient
9982	1, 2, 7, 14, 23, 31, 46, 62, 161, 217, 322, 434, 713, 1426, 4991, 9982	16	18432	8450	Composite	Deficient
9983	1, 67, 149, 9983	4	10200	217	Composite	Deficient
9984	1, 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, 9984	36	28616	18632	Composite	Abundant
9985	1, 5, 1997, 9985	4	11988	2003	Composite	Deficient
9986	1, 2, 4993, 9986	4	14982	4996	Composite	Deficient
9987	1, 3, 3329, 9987	4	13320	3333	Composite	Deficient
9988	1, 2, 4, 11, 22, 44, 227, 454, 908, 2497, 4994, 9988	12	19152	9164	Composite	Deficient
9989	1, 7, 1427, 9989	4	11424	1435	Composite	Deficient
9990	1, 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, 9990	32	27360	17370	Composite	Abundant
9991	1, 97, 103, 9991	4	10192	201	Composite	Deficient
9992	1, 2, 4, 8, 1249, 2498, 4996, 9992	8	18750	8758	Composite	Deficient
9993	1, 3, 3331, 9993	4	13328	3335	Composite	Deficient
9994	1, 2, 19, 38, 263, 526, 4997, 9994	8	15840	5846	Composite	Deficient
9995	1, 5, 1999, 9995	4	12000	2005	Composite	Deficient
9996	1, 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, 9996	36	28728	18732	Composite	Abundant
9997	1, 13, 769, 9997	4	10780	783	Composite	Deficient
9998	1, 2, 4999, 9998	4	15000	5002	Composite	Deficient
9999	1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999	12	15912	5913	Composite	Deficient
10000	1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, 10000	25	24211	14211	Composite	Abundant