The Integers 1001 to 1100

• 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
1001	1, 7, 11, 13, 77, 91, 143, 1001	8	1344	343	Composite	Deficient
1002	1, 2, 3, 6, 167, 334, 501, 1002	8	2016	1014	Composite	Abundant
1003	1, 17, 59, 1003	4	1080	77	Composite	Deficient
1004	1, 2, 4, 251, 502, 1004	6	1764	760	Composite	Deficient
1005	1, 3, 5, 15, 67, 201, 335, 1005	8	1632	627	Composite	Deficient
1006	1, 2, 503, 1006	4	1512	506	Composite	Deficient
1007	1, 19, 53, 1007	4	1080	73	Composite	Deficient
1008	1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008	30	3224	2216	Composite	Abundant
1009	1, 1009	2	1010	1	Prime	Deficient
1010	1, 2, 5, 10, 101, 202, 505, 1010	8	1836	826	Composite	Deficient
1011	1, 3, 337, 1011	4	1352	341	Composite	Deficient
1012	1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012	12	2016	1004	Composite	Deficient
1013	1, 1013	2	1014	1	Prime	Deficient
1014	1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014	12	2196	1182	Composite	Abundant
1015	1, 5, 7, 29, 35, 145, 203, 1015	8	1440	425	Composite	Deficient
1016	1, 2, 4, 8, 127, 254, 508, 1016	8	1920	904	Composite	Deficient
1017	1, 3, 9, 113, 339, 1017	6	1482	465	Composite	Deficient
1018	1, 2, 509, 1018	4	1530	512	Composite	Deficient
1019	1, 1019	2	1020	1	Prime	Deficient
1020	1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 340, 510, 1020	24	3024	2004	Composite	Abundant
1021	1, 1021	2	1022	1	Prime	Deficient
1022	1, 2, 7, 14, 73, 146, 511, 1022	8	1776	754	Composite	Deficient
1023	1, 3, 11, 31, 33, 93, 341, 1023	8	1536	513	Composite	Deficient
1024	1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024	11	2047	1023	Composite	Deficient
1025	1, 5, 25, 41, 205, 1025	6	1302	277	Composite	Deficient
1026	1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 513, 1026	16	2400	1374	Composite	Abundant
1027	1, 13, 79, 1027	4	1120	93	Composite	Deficient
1028	1, 2, 4, 257, 514, 1028	6	1806	778	Composite	Deficient
1029	1, 3, 7, 21, 49, 147, 343, 1029	8	1600	571	Composite	Deficient
1030	1, 2, 5, 10, 103, 206, 515, 1030	8	1872	842	Composite	Deficient
1031	1, 1031	2	1032	1	Prime	Deficient
1032	1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, 1032	16	2640	1608	Composite	Abundant
1033	1, 1033	2	1034	1	Prime	Deficient
1034	1, 2, 11, 22, 47, 94, 517, 1034	8	1728	694	Composite	Deficient
1035	1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035	12	1872	837	Composite	Deficient
1036	1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036	12	2128	1092	Composite	Abundant
1037	1, 17, 61, 1037	4	1116	79	Composite	Deficient
1038	1, 2, 3, 6, 173, 346, 519, 1038	8	2088	1050	Composite	Abundant
1039	1, 1039	2	1040	1	Prime	Deficient
1040	1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040	20	2604	1564	Composite	Abundant
1041	1, 3, 347, 1041	4	1392	351	Composite	Deficient
1042	1, 2, 521, 1042	4	1566	524	Composite	Deficient
1043	1, 7, 149, 1043	4	1200	157	Composite	Deficient
1044	1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044	18	2730	1686	Composite	Abundant
1045	1, 5, 11, 19, 55, 95, 209, 1045	8	1440	395	Composite	Deficient
1046	1, 2, 523, 1046	4	1572	526	Composite	Deficient
1047	1, 3, 349, 1047	4	1400	353	Composite	Deficient
1048	1, 2, 4, 8, 131, 262, 524, 1048	8	1980	932	Composite	Deficient
1049	1, 1049	2	1050	1	Prime	Deficient
1050	1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050	24	2976	1926	Composite	Abundant
1051	1, 1051	2	1052	1	Prime	Deficient
1052	1, 2, 4, 263, 526, 1052	6	1848	796	Composite	Deficient
1053	1, 3, 9, 13, 27, 39, 81, 117, 351, 1053	10	1694	641	Composite	Deficient
1054	1, 2, 17, 31, 34, 62, 527, 1054	8	1728	674	Composite	Deficient
1055	1, 5, 211, 1055	4	1272	217	Composite	Deficient
1056	1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056	24	3024	1968	Composite	Abundant
1057	1, 7, 151, 1057	4	1216	159	Composite	Deficient
1058	1, 2, 23, 46, 529, 1058	6	1659	601	Composite	Deficient
1059	1, 3, 353, 1059	4	1416	357	Composite	Deficient
1060	1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060	12	2268	1208	Composite	Abundant
1061	1, 1061	2	1062	1	Prime	Deficient
1062	1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, 1062	12	2340	1278	Composite	Abundant
1063	1, 1063	2	1064	1	Prime	Deficient
1064	1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064	16	2400	1336	Composite	Abundant
1065	1, 3, 5, 15, 71, 213, 355, 1065	8	1728	663	Composite	Deficient
1066	1, 2, 13, 26, 41, 82, 533, 1066	8	1764	698	Composite	Deficient
1067	1, 11, 97, 1067	4	1176	109	Composite	Deficient
1068	1, 2, 3, 4, 6, 12, 89, 178, 267, 356, 534, 1068	12	2520	1452	Composite	Abundant
1069	1, 1069	2	1070	1	Prime	Deficient
1070	1, 2, 5, 10, 107, 214, 535, 1070	8	1944	874	Composite	Deficient
1071	1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071	12	1872	801	Composite	Deficient
1072	1, 2, 4, 8, 16, 67, 134, 268, 536, 1072	10	2108	1036	Composite	Deficient
1073	1, 29, 37, 1073	4	1140	67	Composite	Deficient
1074	1, 2, 3, 6, 179, 358, 537, 1074	8	2160	1086	Composite	Abundant
1075	1, 5, 25, 43, 215, 1075	6	1364	289	Composite	Deficient
1076	1, 2, 4, 269, 538, 1076	6	1890	814	Composite	Deficient
1077	1, 3, 359, 1077	4	1440	363	Composite	Deficient
1078	1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539, 1078	12	2052	974	Composite	Deficient
1079	1, 13, 83, 1079	4	1176	97	Composite	Deficient
1080	1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080	32	3600	2520	Composite	Abundant
1081	1, 23, 47, 1081	4	1152	71	Composite	Deficient
1082	1, 2, 541, 1082	4	1626	544	Composite	Deficient
1083	1, 3, 19, 57, 361, 1083	6	1524	441	Composite	Deficient
1084	1, 2, 4, 271, 542, 1084	6	1904	820	Composite	Deficient
1085	1, 5, 7, 31, 35, 155, 217, 1085	8	1536	451	Composite	Deficient
1086	1, 2, 3, 6, 181, 362, 543, 1086	8	2184	1098	Composite	Abundant
1087	1, 1087	2	1088	1	Prime	Deficient
1088	1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088	14	2286	1198	Composite	Abundant
1089	1, 3, 9, 11, 33, 99, 121, 363, 1089	9	1729	640	Composite	Deficient
1090	1, 2, 5, 10, 109, 218, 545, 1090	8	1980	890	Composite	Deficient
1091	1, 1091	2	1092	1	Prime	Deficient
1092	1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092	24	3136	2044	Composite	Abundant
1093	1, 1093	2	1094	1	Prime	Deficient
1094	1, 2, 547, 1094	4	1644	550	Composite	Deficient
1095	1, 3, 5, 15, 73, 219, 365, 1095	8	1776	681	Composite	Deficient
1096	1, 2, 4, 8, 137, 274, 548, 1096	8	2070	974	Composite	Deficient
1097	1, 1097	2	1098	1	Prime	Deficient
1098	1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, 1098	12	2418	1320	Composite	Abundant
1099	1, 7, 157, 1099	4	1264	165	Composite	Deficient
1100	1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100	18	2604	1504	Composite	Abundant