The Integers 1 to 100

• 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
1	1	1	1	0		Deficient
2	1, 2	2	3	1	Prime	Deficient
3	1, 3	2	4	1	Prime	Deficient
4	1, 2, 4	3	7	3	Composite	Deficient
5	1, 5	2	6	1	Prime	Deficient
6	1, 2, 3, 6	4	12	6	Composite	Perfect
7	1, 7	2	8	1	Prime	Deficient
8	1, 2, 4, 8	4	15	7	Composite	Deficient
9	1, 3, 9	3	13	4	Composite	Deficient
10	1, 2, 5, 10	4	18	8	Composite	Deficient
11	1, 11	2	12	1	Prime	Deficient
12	1, 2, 3, 4, 6, 12	6	28	16	Composite	Abundant
13	1, 13	2	14	1	Prime	Deficient
14	1, 2, 7, 14	4	24	10	Composite	Deficient
15	1, 3, 5, 15	4	24	9	Composite	Deficient
16	1, 2, 4, 8, 16	5	31	15	Composite	Deficient
17	1, 17	2	18	1	Prime	Deficient
18	1, 2, 3, 6, 9, 18	6	39	21	Composite	Abundant
19	1, 19	2	20	1	Prime	Deficient
20	1, 2, 4, 5, 10, 20	6	42	22	Composite	Abundant
21	1, 3, 7, 21	4	32	11	Composite	Deficient
22	1, 2, 11, 22	4	36	14	Composite	Deficient
23	1, 23	2	24	1	Prime	Deficient
24	1, 2, 3, 4, 6, 8, 12, 24	8	60	36	Composite	Abundant
25	1, 5, 25	3	31	6	Composite	Deficient
26	1, 2, 13, 26	4	42	16	Composite	Deficient
27	1, 3, 9, 27	4	40	13	Composite	Deficient
28	1, 2, 4, 7, 14, 28	6	56	28	Composite	Perfect
29	1, 29	2	30	1	Prime	Deficient
30	1, 2, 3, 5, 6, 10, 15, 30	8	72	42	Composite	Abundant
31	1, 31	2	32	1	Prime	Deficient
32	1, 2, 4, 8, 16, 32	6	63	31	Composite	Deficient
33	1, 3, 11, 33	4	48	15	Composite	Deficient
34	1, 2, 17, 34	4	54	20	Composite	Deficient
35	1, 5, 7, 35	4	48	13	Composite	Deficient
36	1, 2, 3, 4, 6, 9, 12, 18, 36	9	91	55	Composite	Abundant
37	1, 37	2	38	1	Prime	Deficient
38	1, 2, 19, 38	4	60	22	Composite	Deficient
39	1, 3, 13, 39	4	56	17	Composite	Deficient
40	1, 2, 4, 5, 8, 10, 20, 40	8	90	50	Composite	Abundant
41	1, 41	2	42	1	Prime	Deficient
42	1, 2, 3, 6, 7, 14, 21, 42	8	96	54	Composite	Abundant
43	1, 43	2	44	1	Prime	Deficient
44	1, 2, 4, 11, 22, 44	6	84	40	Composite	Deficient
45	1, 3, 5, 9, 15, 45	6	78	33	Composite	Deficient
46	1, 2, 23, 46	4	72	26	Composite	Deficient
47	1, 47	2	48	1	Prime	Deficient
48	1, 2, 3, 4, 6, 8, 12, 16, 24, 48	10	124	76	Composite	Abundant
49	1, 7, 49	3	57	8	Composite	Deficient
50	1, 2, 5, 10, 25, 50	6	93	43	Composite	Deficient
51	1, 3, 17, 51	4	72	21	Composite	Deficient
52	1, 2, 4, 13, 26, 52	6	98	46	Composite	Deficient
53	1, 53	2	54	1	Prime	Deficient
54	1, 2, 3, 6, 9, 18, 27, 54	8	120	66	Composite	Abundant
55	1, 5, 11, 55	4	72	17	Composite	Deficient
56	1, 2, 4, 7, 8, 14, 28, 56	8	120	64	Composite	Abundant
57	1, 3, 19, 57	4	80	23	Composite	Deficient
58	1, 2, 29, 58	4	90	32	Composite	Deficient
59	1, 59	2	60	1	Prime	Deficient
60	1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60	12	168	108	Composite	Abundant
61	1, 61	2	62	1	Prime	Deficient
62	1, 2, 31, 62	4	96	34	Composite	Deficient
63	1, 3, 7, 9, 21, 63	6	104	41	Composite	Deficient
64	1, 2, 4, 8, 16, 32, 64	7	127	63	Composite	Deficient
65	1, 5, 13, 65	4	84	19	Composite	Deficient
66	1, 2, 3, 6, 11, 22, 33, 66	8	144	78	Composite	Abundant
67	1, 67	2	68	1	Prime	Deficient
68	1, 2, 4, 17, 34, 68	6	126	58	Composite	Deficient
69	1, 3, 23, 69	4	96	27	Composite	Deficient
70	1, 2, 5, 7, 10, 14, 35, 70	8	144	74	Composite	Abundant
71	1, 71	2	72	1	Prime	Deficient
72	1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72	12	195	123	Composite	Abundant
73	1, 73	2	74	1	Prime	Deficient
74	1, 2, 37, 74	4	114	40	Composite	Deficient
75	1, 3, 5, 15, 25, 75	6	124	49	Composite	Deficient
76	1, 2, 4, 19, 38, 76	6	140	64	Composite	Deficient
77	1, 7, 11, 77	4	96	19	Composite	Deficient
78	1, 2, 3, 6, 13, 26, 39, 78	8	168	90	Composite	Abundant
79	1, 79	2	80	1	Prime	Deficient
80	1, 2, 4, 5, 8, 10, 16, 20, 40, 80	10	186	106	Composite	Abundant
81	1, 3, 9, 27, 81	5	121	40	Composite	Deficient
82	1, 2, 41, 82	4	126	44	Composite	Deficient
83	1, 83	2	84	1	Prime	Deficient
84	1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84	12	224	140	Composite	Abundant
85	1, 5, 17, 85	4	108	23	Composite	Deficient
86	1, 2, 43, 86	4	132	46	Composite	Deficient
87	1, 3, 29, 87	4	120	33	Composite	Deficient
88	1, 2, 4, 8, 11, 22, 44, 88	8	180	92	Composite	Abundant
89	1, 89	2	90	1	Prime	Deficient
90	1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90	12	234	144	Composite	Abundant
91	1, 7, 13, 91	4	112	21	Composite	Deficient
92	1, 2, 4, 23, 46, 92	6	168	76	Composite	Deficient
93	1, 3, 31, 93	4	128	35	Composite	Deficient
94	1, 2, 47, 94	4	144	50	Composite	Deficient
95	1, 5, 19, 95	4	120	25	Composite	Deficient
96	1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96	12	252	156	Composite	Abundant
97	1, 97	2	98	1	Prime	Deficient
98	1, 2, 7, 14, 49, 98	6	171	73	Composite	Deficient
99	1, 3, 9, 11, 33, 99	6	156	57	Composite	Deficient
100	1, 2, 4, 5, 10, 20, 25, 50, 100	9	217	117	Composite	Abundant