The Integers 8301 to 8400

• 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
8301	1, 3, 2767, 8301	4	11072	2771	Composite	Deficient
8302	1, 2, 7, 14, 593, 1186, 4151, 8302	8	14256	5954	Composite	Deficient
8303	1, 19, 23, 361, 437, 8303	6	9144	841	Composite	Deficient
8304	1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 173, 346, 519, 692, 1038, 1384, 2076, 2768, 4152, 8304	20	21576	13272	Composite	Abundant
8305	1, 5, 11, 55, 151, 755, 1661, 8305	8	10944	2639	Composite	Deficient
8306	1, 2, 4153, 8306	4	12462	4156	Composite	Deficient
8307	1, 3, 9, 13, 39, 71, 117, 213, 639, 923, 2769, 8307	12	13104	4797	Composite	Deficient
8308	1, 2, 4, 31, 62, 67, 124, 134, 268, 2077, 4154, 8308	12	15232	6924	Composite	Deficient
8309	1, 7, 1187, 8309	4	9504	1195	Composite	Deficient
8310	1, 2, 3, 5, 6, 10, 15, 30, 277, 554, 831, 1385, 1662, 2770, 4155, 8310	16	20016	11706	Composite	Abundant
8311	1, 8311	2	8312	1	Prime	Deficient
8312	1, 2, 4, 8, 1039, 2078, 4156, 8312	8	15600	7288	Composite	Deficient
8313	1, 3, 17, 51, 163, 489, 2771, 8313	8	11808	3495	Composite	Deficient
8314	1, 2, 4157, 8314	4	12474	4160	Composite	Deficient
8315	1, 5, 1663, 8315	4	9984	1669	Composite	Deficient
8316	1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 54, 63, 66, 77, 84, 99, 108, 126, 132, 154, 189, 198, 231, 252, 297, 308, 378, 396, 462, 594, 693, 756, 924, 1188, 1386, 2079, 2772, 4158, 8316	48	26880	18564	Composite	Abundant
8317	1, 8317	2	8318	1	Prime	Deficient
8318	1, 2, 4159, 8318	4	12480	4162	Composite	Deficient
8319	1, 3, 47, 59, 141, 177, 2773, 8319	8	11520	3201	Composite	Deficient
8320	1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 260, 320, 416, 520, 640, 832, 1040, 1664, 2080, 4160, 8320	32	21420	13100	Composite	Abundant
8321	1, 53, 157, 8321	4	8532	211	Composite	Deficient
8322	1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322	16	17760	9438	Composite	Abundant
8323	1, 7, 29, 41, 203, 287, 1189, 8323	8	10080	1757	Composite	Deficient
8324	1, 2, 4, 2081, 4162, 8324	6	14574	6250	Composite	Deficient
8325	1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 185, 225, 333, 555, 925, 1665, 2775, 8325	18	15314	6989	Composite	Deficient
8326	1, 2, 23, 46, 181, 362, 4163, 8326	8	13104	4778	Composite	Deficient
8327	1, 11, 757, 8327	4	9096	769	Composite	Deficient
8328	1, 2, 3, 4, 6, 8, 12, 24, 347, 694, 1041, 1388, 2082, 2776, 4164, 8328	16	20880	12552	Composite	Abundant
8329	1, 8329	2	8330	1	Prime	Deficient
8330	1, 2, 5, 7, 10, 14, 17, 34, 35, 49, 70, 85, 98, 119, 170, 238, 245, 490, 595, 833, 1190, 1666, 4165, 8330	24	18468	10138	Composite	Abundant
8331	1, 3, 2777, 8331	4	11112	2781	Composite	Deficient
8332	1, 2, 4, 2083, 4166, 8332	6	14588	6256	Composite	Deficient
8333	1, 13, 641, 8333	4	8988	655	Composite	Deficient
8334	1, 2, 3, 6, 9, 18, 463, 926, 1389, 2778, 4167, 8334	12	18096	9762	Composite	Abundant
8335	1, 5, 1667, 8335	4	10008	1673	Composite	Deficient
8336	1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336	10	16182	7846	Composite	Deficient
8337	1, 3, 7, 21, 397, 1191, 2779, 8337	8	12736	4399	Composite	Deficient
8338	1, 2, 11, 22, 379, 758, 4169, 8338	8	13680	5342	Composite	Deficient
8339	1, 31, 269, 8339	4	8640	301	Composite	Deficient
8340	1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170, 8340	24	23520	15180	Composite	Abundant
8341	1, 19, 439, 8341	4	8800	459	Composite	Deficient
8342	1, 2, 43, 86, 97, 194, 4171, 8342	8	12936	4594	Composite	Deficient
8343	1, 3, 9, 27, 81, 103, 309, 927, 2781, 8343	10	12584	4241	Composite	Deficient
8344	1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344	16	18000	9656	Composite	Abundant
8345	1, 5, 1669, 8345	4	10020	1675	Composite	Deficient
8346	1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173, 8346	16	18144	9798	Composite	Abundant
8347	1, 17, 491, 8347	4	8856	509	Composite	Deficient
8348	1, 2, 4, 2087, 4174, 8348	6	14616	6268	Composite	Deficient
8349	1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783, 8349	12	12768	4419	Composite	Deficient
8350	1, 2, 5, 10, 25, 50, 167, 334, 835, 1670, 4175, 8350	12	15624	7274	Composite	Deficient
8351	1, 7, 1193, 8351	4	9552	1201	Composite	Deficient
8352	1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352	36	24570	16218	Composite	Abundant
8353	1, 8353	2	8354	1	Prime	Deficient
8354	1, 2, 4177, 8354	4	12534	4180	Composite	Deficient
8355	1, 3, 5, 15, 557, 1671, 2785, 8355	8	13392	5037	Composite	Deficient
8356	1, 2, 4, 2089, 4178, 8356	6	14630	6274	Composite	Deficient
8357	1, 61, 137, 8357	4	8556	199	Composite	Deficient
8358	1, 2, 3, 6, 7, 14, 21, 42, 199, 398, 597, 1194, 1393, 2786, 4179, 8358	16	19200	10842	Composite	Abundant
8359	1, 13, 643, 8359	4	9016	657	Composite	Deficient
8360	1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 38, 40, 44, 55, 76, 88, 95, 110, 152, 190, 209, 220, 380, 418, 440, 760, 836, 1045, 1672, 2090, 4180, 8360	32	21600	13240	Composite	Abundant
8361	1, 3, 9, 929, 2787, 8361	6	12090	3729	Composite	Deficient
8362	1, 2, 37, 74, 113, 226, 4181, 8362	8	12996	4634	Composite	Deficient
8363	1, 8363	2	8364	1	Prime	Deficient
8364	1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182, 8364	24	21168	12804	Composite	Abundant
8365	1, 5, 7, 35, 239, 1195, 1673, 8365	8	11520	3155	Composite	Deficient
8366	1, 2, 47, 89, 94, 178, 4183, 8366	8	12960	4594	Composite	Deficient
8367	1, 3, 2789, 8367	4	11160	2793	Composite	Deficient
8368	1, 2, 4, 8, 16, 523, 1046, 2092, 4184, 8368	10	16244	7876	Composite	Deficient
8369	1, 8369	2	8370	1	Prime	Deficient
8370	1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 31, 45, 54, 62, 90, 93, 135, 155, 186, 270, 279, 310, 465, 558, 837, 930, 1395, 1674, 2790, 4185, 8370	32	23040	14670	Composite	Abundant
8371	1, 11, 761, 8371	4	9144	773	Composite	Deficient
8372	1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299, 322, 364, 598, 644, 1196, 2093, 4186, 8372	24	18816	10444	Composite	Abundant
8373	1, 3, 2791, 8373	4	11168	2795	Composite	Deficient
8374	1, 2, 53, 79, 106, 158, 4187, 8374	8	12960	4586	Composite	Deficient
8375	1, 5, 25, 67, 125, 335, 1675, 8375	8	10608	2233	Composite	Deficient
8376	1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376	16	21000	12624	Composite	Abundant
8377	1, 8377	2	8378	1	Prime	Deficient
8378	1, 2, 59, 71, 118, 142, 4189, 8378	8	12960	4582	Composite	Deficient
8379	1, 3, 7, 9, 19, 21, 49, 57, 63, 133, 147, 171, 399, 441, 931, 1197, 2793, 8379	18	14820	6441	Composite	Deficient
8380	1, 2, 4, 5, 10, 20, 419, 838, 1676, 2095, 4190, 8380	12	17640	9260	Composite	Abundant
8381	1, 17, 29, 289, 493, 8381	6	9210	829	Composite	Deficient
8382	1, 2, 3, 6, 11, 22, 33, 66, 127, 254, 381, 762, 1397, 2794, 4191, 8382	16	18432	10050	Composite	Abundant
8383	1, 83, 101, 8383	4	8568	185	Composite	Deficient
8384	1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384	14	16764	8380	Composite	Deficient
8385	1, 3, 5, 13, 15, 39, 43, 65, 129, 195, 215, 559, 645, 1677, 2795, 8385	16	14784	6399	Composite	Deficient
8386	1, 2, 7, 14, 599, 1198, 4193, 8386	8	14400	6014	Composite	Deficient
8387	1, 8387	2	8388	1	Prime	Deficient
8388	1, 2, 3, 4, 6, 9, 12, 18, 36, 233, 466, 699, 932, 1398, 2097, 2796, 4194, 8388	18	21294	12906	Composite	Abundant
8389	1, 8389	2	8390	1	Prime	Deficient
8390	1, 2, 5, 10, 839, 1678, 4195, 8390	8	15120	6730	Composite	Deficient
8391	1, 3, 2797, 8391	4	11192	2801	Composite	Deficient
8392	1, 2, 4, 8, 1049, 2098, 4196, 8392	8	15750	7358	Composite	Deficient
8393	1, 7, 11, 77, 109, 763, 1199, 8393	8	10560	2167	Composite	Deficient
8394	1, 2, 3, 6, 1399, 2798, 4197, 8394	8	16800	8406	Composite	Abundant
8395	1, 5, 23, 73, 115, 365, 1679, 8395	8	10656	2261	Composite	Deficient
8396	1, 2, 4, 2099, 4198, 8396	6	14700	6304	Composite	Deficient
8397	1, 3, 9, 27, 311, 933, 2799, 8397	8	12480	4083	Composite	Deficient
8398	1, 2, 13, 17, 19, 26, 34, 38, 221, 247, 323, 442, 494, 646, 4199, 8398	16	15120	6722	Composite	Deficient
8399	1, 37, 227, 8399	4	8664	265	Composite	Deficient
8400	1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, 8400	60	30752	22352	Composite	Abundant