Divisors of The Numbers 1 To 100
| n | Divisors | d(n) | σ(n) | s(n) | Notes |
|---|---|---|---|---|---|
| 1 | 1 | 1 | 1 | 0 | deficient, highly abundant, superabundant, highly composite |
| 2 | 1, 2 | 2 | 3 | 1 | deficient, highly abundant, superabundant, colossally abundant, prime, highly composite, superior highly composite |
| 3 | 1, 3 | 2 | 4 | 1 | deficient, highly abundant, prime |
| 4 | 1, 2, 4 | 3 | 7 | 3 | deficient, highly abundant, superabundant, composite, highly composite |
| 5 | 1, 5 | 2 | 6 | 1 | deficient, prime |
| 6 | 1, 2, 3, 6 | 4 | 12 | 6 | perfect, highly abundant, superabundant, colossally abundant, composite, highly composite, superior highly composite |
| 7 | 1, 7 | 2 | 8 | 1 | deficient, prime |
| 8 | 1, 2, 4, 8 | 4 | 15 | 7 | deficient, highly abundant, composite |
| 9 | 1, 3, 9 | 3 | 13 | 4 | deficient, composite |
| 10 | 1, 2, 5, 10 | 4 | 18 | 8 | deficient, highly abundant, composite |
| 11 | 1, 11 | 2 | 12 | 1 | deficient, prime |
| 12 | 1, 2, 3, 4, 6, 12 | 6 | 28 | 16 | abundant, highly abundant, superabundant, colossally abundant, composite, highly composite, superior highly composite |
| 13 | 1, 13 | 2 | 14 | 1 | deficient, prime |
| 14 | 1, 2, 7, 14 | 4 | 24 | 10 | deficient, composite |
| 15 | 1, 3, 5, 15 | 4 | 24 | 9 | deficient, composite |
| 16 | 1, 2, 4, 8, 16 | 5 | 31 | 15 | deficient, highly abundant, composite |
| 17 | 1, 17 | 2 | 18 | 1 | deficient, prime |
| 18 | 1, 2, 3, 6, 9, 18 | 6 | 39 | 21 | abundant, highly abundant, composite |
| 19 | 1, 19 | 2 | 20 | 1 | deficient, prime |
| 20 | 1, 2, 4, 5, 10, 20 | 6 | 42 | 22 | abundant, highly abundant, composite |
| n | Divisors | d(n) | σ(n) | s(n) | Notes |
| 21 | 1, 3, 7, 21 | 4 | 32 | 11 | deficient, composite |
| 22 | 1, 2, 11, 22 | 4 | 36 | 14 | deficient, composite |
| 23 | 1, 23 | 2 | 24 | 1 | deficient, prime |
| 24 | 1, 2, 3, 4, 6, 8, 12, 24 | 8 | 60 | 36 | abundant, highly abundant, superabundant, composite, highly composite |
| 25 | 1, 5, 25 | 3 | 31 | 6 | deficient, composite |
| 26 | 1, 2, 13, 26 | 4 | 42 | 16 | deficient, composite |
| 27 | 1, 3, 9, 27 | 4 | 40 | 13 | deficient, composite |
| 28 | 1, 2, 4, 7, 14, 28 | 6 | 56 | 28 | perfect, composite |
| 29 | 1, 29 | 2 | 30 | 1 | deficient, prime |
| 30 | 1, 2, 3, 5, 6, 10, 15, 30 | 8 | 72 | 42 | abundant, highly abundant, composite |
| 31 | 1, 31 | 2 | 32 | 1 | deficient, prime |
| 32 | 1, 2, 4, 8, 16, 32 | 6 | 63 | 31 | deficient, composite |
| 33 | 1, 3, 11, 33 | 4 | 48 | 15 | deficient, composite |
| 34 | 1, 2, 17, 34 | 4 | 54 | 20 | deficient, composite |
| 35 | 1, 5, 7, 35 | 4 | 48 | 13 | deficient, composite |
| 36 | 1, 2, 3, 4, 6, 9, 12, 18, 36 | 9 | 91 | 55 | abundant, highly abundant, superabundant, composite, highly composite |
| 37 | 1, 37 | 2 | 38 | 1 | deficient, prime |
| 38 | 1, 2, 19, 38 | 4 | 60 | 22 | deficient, composite |
| 39 | 1, 3, 13, 39 | 4 | 56 | 17 | deficient, composite |
| 40 | 1, 2, 4, 5, 8, 10, 20, 40 | 8 | 90 | 50 | abundant, composite |
| n | Divisors | d(n) | σ(n) | s(n) | Notes |
| 41 | 1, 41 | 2 | 42 | 1 | deficient, prime |
| 42 | 1, 2, 3, 6, 7, 14, 21, 42 | 8 | 96 | 54 | abundant, highly abundant, composite |
| 43 | 1, 43 | 2 | 44 | 1 | deficient, prime |
| 44 | 1, 2, 4, 11, 22, 44 | 6 | 84 | 40 | deficient, composite |
| 45 | 1, 3, 5, 9, 15, 45 | 6 | 78 | 33 | deficient, composite |
| 46 | 1, 2, 23, 46 | 4 | 72 | 26 | deficient, composite |
| 47 | 1, 47 | 2 | 48 | 1 | deficient, prime |
| 48 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 | 10 | 124 | 76 | abundant, highly abundant, superabundant, composite, highly composite |
| 49 | 1, 7, 49 | 3 | 57 | 8 | deficient, composite |
| 50 | 1, 2, 5, 10, 25, 50 | 6 | 93 | 43 | deficient, composite |
| 51 | 1, 3, 17, 51 | 4 | 72 | 21 | deficient, composite |
| 52 | 1, 2, 4, 13, 26, 52 | 6 | 98 | 46 | deficient, composite |
| 53 | 1, 53 | 2 | 54 | 1 | deficient, prime |
| 54 | 1, 2, 3, 6, 9, 18, 27, 54 | 8 | 120 | 66 | abundant, composite |
| 55 | 1, 5, 11, 55 | 4 | 72 | 17 | deficient, composite |
| 56 | 1, 2, 4, 7, 8, 14, 28, 56 | 8 | 120 | 64 | abundant, composite |
| 57 | 1, 3, 19, 57 | 4 | 80 | 23 | deficient, composite |
| 58 | 1, 2, 29, 58 | 4 | 90 | 32 | deficient, composite |
| 59 | 1, 59 | 2 | 60 | 1 | deficient, prime |
| 60 | 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 | 12 | 168 | 108 | abundant, highly abundant, superabundant, colossally abundant, composite, highly composite, superior highly composite |
| n | Divisors | d(n) | σ(n) | s(n) | Notes |
| 61 | 1, 61 | 2 | 62 | 1 | deficient, prime |
| 62 | 1, 2, 31, 62 | 4 | 96 | 34 | deficient, composite |
| 63 | 1, 3, 7, 9, 21, 63 | 6 | 104 | 41 | deficient, composite |
| 64 | 1, 2, 4, 8, 16, 32, 64 | 7 | 127 | 63 | deficient, composite |
| 65 | 1, 5, 13, 65 | 4 | 84 | 19 | deficient, composite |
| 66 | 1, 2, 3, 6, 11, 22, 33, 66 | 8 | 144 | 78 | abundant, composite |
| 67 | 1, 67 | 2 | 68 | 1 | deficient, prime |
| 68 | 1, 2, 4, 17, 34, 68 | 6 | 126 | 58 | deficient, composite |
| 69 | 1, 3, 23, 69 | 4 | 96 | 27 | deficient, composite |
| 70 | 1, 2, 5, 7, 10, 14, 35, 70 | 8 | 144 | 74 | abundant, composite, weird |
| 71 | 1, 71 | 2 | 72 | 1 | deficient, prime |
| 72 | 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 | 12 | 195 | 123 | abundant, highly abundant, composite |
| 73 | 1, 73 | 2 | 74 | 1 | deficient, prime |
| 74 | 1, 2, 37, 74 | 4 | 114 | 40 | deficient, composite |
| 75 | 1, 3, 5, 15, 25, 75 | 6 | 124 | 49 | deficient, composite |
| 76 | 1, 2, 4, 19, 38, 76 | 6 | 140 | 64 | deficient, composite |
| 77 | 1, 7, 11, 77 | 4 | 96 | 19 | deficient, composite |
| 78 | 1, 2, 3, 6, 13, 26, 39, 78 | 8 | 168 | 90 | abundant, composite |
| 79 | 1, 79 | 2 | 80 | 1 | deficient, prime |
| 80 | 1, 2, 4, 5, 8, 10, 16, 20, 40, 80 | 10 | 186 | 106 | abundant, composite |
| n | Divisors | d(n) | σ(n) | s(n) | Notes |
| 81 | 1, 3, 9, 27, 81 | 5 | 121 | 40 | deficient, composite |
| 82 | 1, 2, 41, 82 | 4 | 126 | 44 | deficient, composite |
| 83 | 1, 83 | 2 | 84 | 1 | deficient, prime |
| 84 | 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 | 12 | 224 | 140 | abundant, highly abundant, composite |
| 85 | 1, 5, 17, 85 | 4 | 108 | 23 | deficient, composite |
| 86 | 1, 2, 43, 86 | 4 | 132 | 46 | deficient, composite |
| 87 | 1, 3, 29, 87 | 4 | 120 | 33 | deficient, composite |
| 88 | 1, 2, 4, 8, 11, 22, 44, 88 | 8 | 180 | 92 | abundant, composite |
| 89 | 1, 89 | 2 | 90 | 1 | deficient, prime |
| 90 | 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 | 12 | 234 | 144 | abundant, highly abundant, composite |
| 91 | 1, 7, 13, 91 | 4 | 112 | 21 | deficient, composite |
| 92 | 1, 2, 4, 23, 46, 92 | 6 | 168 | 76 | deficient, composite |
| 93 | 1, 3, 31, 93 | 4 | 128 | 35 | deficient, composite |
| 94 | 1, 2, 47, 94 | 4 | 144 | 50 | deficient, composite |
| 95 | 1, 5, 19, 95 | 4 | 120 | 25 | deficient, composite |
| 96 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 | 12 | 252 | 156 | abundant, highly abundant, composite |
| 97 | 1, 97 | 2 | 98 | 1 | deficient, prime |
| 98 | 1, 2, 7, 14, 49, 98 | 6 | 171 | 73 | deficient, composite |
| 99 | 1, 3, 9, 11, 33, 99 | 6 | 156 | 57 | deficient, composite |
| 100 | 1, 2, 4, 5, 10, 20, 25, 50, 100 | 9 | 217 | 117 | abundant, composite |
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Famous quotes containing the word numbers:
“The principle of majority rule is the mildest form in which the force of numbers can be exercised. It is a pacific substitute for civil war in which the opposing armies are counted and the victory is awarded to the larger before any blood is shed. Except in the sacred tests of democracy and in the incantations of the orators, we hardly take the trouble to pretend that the rule of the majority is not at bottom a rule of force.”
—Walter Lippmann (1889–1974)