Divisors of numbers

We'd like to generate a table of divisors and sums of divisors of all the numbers up to at least 120. So we need everyone to contribute at least three or four rows to the table. Download this file, then open and edit it as you would any text file (use Notepad or something like that). To add a row to the table, you can copy one of the rows (a group of lines beginning with <tr> and ending with </tr>), paste it in just before the </table> line at the end of the table, and then edit the entries.

Then save the file as text (with the same name it already has [divisors.html]) and upload it again. Be sure and identify yourself as the author of the rows you add.

In the table, D(n) stands for the number of divisors, and S(n) for the sum of all the divisors of the number n. The tricky one to input is the prime factorization, since you will need the <sup> and </sup> tags to make exponents in the factorization -- we'll use the * to indicate multiplication (see the factorization of 6 in the table)

Number Prime
factorization
Divisors D(n) S(n) Author
1 1 1 1 1 Dr. D
2 2 1, 2 2 3 Dr. D
3 3 1, 3 2 4 Dr. D
4 22 1, 2, 4 3 7 Dr. D
5 5 1, 5 2 6 Dr. D
6 2 * 3 1, 2, 3, 6 4 12 Dr. D
7 7 1, 7 2 8 Dr. D
8 23 1, 2, 4, 8 4 15 Dr. D
9 32 1, 3, 9 3 13 Dr. D
10 2 * 5 1, 2, 5, 10 4 18 Dr. D
11 11 1, 11 2 12 Dr. D
12 22 * 3 1, 2, 3, 4, 6, 12 6 28 Dr. D
13 13 1, 13 2 14 Bowles
14 2 * 7 1, 2, 7, 14 4 24 Bowles
15 3 * 5 1, 3, 5, 15 4 24 Bowles
16 24 1, 2, 4, 8, 16 5 31 Bowles
17 17 1, 17 2 18 Bowles
18 2 * 32 1, 2, 3, 6, 9, 18 6 39 Meredith
19 19 1, 19 2 20 Meredith
20 22 * 5 1, 2, 4, 5, 10, 20 6 42 Meredith
21 3 * 7 1, 3, 7, 21 4 32 Meredith
22 2 * 11 1, 2, 11, 22 4 36 Meredith
23 23 1, 23 2 24 Lauren T
24 23 * 3 1, 2, 3, 4, 6, 8, 12, 24 8 60 Lauren T
25 52 1, 5, 25 3 31 Lauren T
26 2 * 13 1, 2, 13, 26 4 42 Lauren T
27 33 1, 3, 9, 27 4 40 Lauren T
28 22 * 7 1, 2, 4, 7, 14, 28 6 56 Lauren T
29 29 1, 29 2 30 Kledin
30 2 * 3 * 5 1, 2, 3, 5, 6, 10, 15, 30 8 72 Kledin
31 31 1, 31 2 32 Kledin
32 25 1, 2, 4, 8, 16, 32 6 63 Kledin
33 3 * 11 1, 3, 11, 33 4 48 Kledin
34 2 * 17 1, 2, 17, 34 4 54 Ling
35 5 * 7 1, 5, 7, 35 4 48 Francesca
36 22 * 32 1, 2, 3, 4, 6, 9, 12, 18, 36 9 91 Francesca
37 37 1, 37 2 38 Francesca
38 2 * 19 1, 2, 19, 38 4 60 Francesca
39 3 * 13 1, 3, 13, 39 4 56 Francesca
40 23 * 5 1, 2, 4, 5, 8, 10, 20, 40 8 90 Brian L
41 41 1, 41 2 42 Brian L
42 2 * 3 * 7 1, 2, 3, 6, 7, 14, 21, 42 8 96 Brian L
43 43 1, 43 2 44 Brian L
44 22*11 1, 2, 4, 11, 22, 44 6 84 Brian L
45 32 * 5 1, 3, 5, 15, 45 5 69 Taggert
46 2 * 23 1, 2, 23, 46 4 72 Taggert
47 47 1, 47 2 48 Taggert
48 24 * 3 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 10 124 Taggert
49 72 1, 7, 49 3 57 Taggert
50 52 * 2 1, 2, 5, 10, 25, 50 6 93 Kasper
51 51 1, 51 2 52 Kasper
52 22 * 13 1, 2, 4, 13, 26, 52 6 97 Kasper
53 53 1, 53 2 54 Kasper
54 2 * 33 1, 2, 3, 6, 9, 18, 27, 54 8 120 Kasper
55 5*11 1,5,11,55 4 72 Colgan
56 7*23 1,2,4,7,8,14,28,56 8 120 Colgan
57 3*19 1,3,19,57 4 80 Colgan
58 2*29 1,2,29,58 4 90 Colgan
59 1*59 1,59 2 60 Colgan
60 22*15 1,2,3,4,5,6,10,12,15,20,30,60 12 168 J.Marks
61 61 1,61 2 62 J.Marks
62 2*31 1,2,31,62 4 96 J.Marks
63 63 1,63 2 64 J.Marks
64 25 1,2,4,8,16,32,64 7 127 J.Marks
65 5*13 1,5,13,65 4 84 A.Axelrod
66 2*3*11 1,2,3,6,11,22,33,66 8 144 A.Axelrod
67 67 1,67 2 68 A.Axelrod
68 22*17 1,2,4,17,34,68 6 126 A.Axelrod
69 3*23 1,3,23,69 4 96 A.Axelrod
70 2*5*7 1,2,5,7,10,14,35,70 8 144 M.Hill
71 71 1,71 2 72 M.Hill
72 23* 32 1,2,3,6,8,9,12,24,36,72 10 173 M.Hill
73 73 1,73 2 74 M.Hill
74 2*37 1,2,37,69 4 109 M.Hill
75 3*52 1,3,5,15,25,75 6 124 C.Hartigan
76 22 * 19 1,2,4,19,38,76 6 140 C.Hartigan
77 7*11 1,7,11,77 4 96 C.Hartigan
78 3*2*13 1,2,3,6,13,26,39,78 8 168 C.Hartigan
79 1*79 1,79 2 80 C.Hartigan
80 24 *5 1,2,4,5,8,10,16,20,40,80 10 186 Swasti k.
81 34 1,3,9,27,81 5 121 Swasti k.
82 2*41 1,2,41,82 4 126 Swasti k.
83 1*83 1,83 2 84 Swasti k.
84 22*3*7 1,2,4,6,7,12,14,21,42,84 10 193 Swasti k.
85 5*17 1,5,17,85 4 108 Scott R.
86 2*43 1,2,43,86 4 132 Scott R.
87 3*29 1,2,29,87 4 119 Scott R.
88 23*11 1,2,4,8,11,22,44,88 8 180 Scott R.
89 89 1,89 2 90 Scott R.
90 2*32*5 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 12 90 Brandon C.
91 1*91 1, 91 2 92 Brandon C.
92 22*23 1, 2, 4, 23, 46, 92 6 168 Brandon C.
93 3*31 1, 3, 31, 93 4 128 Brandon C.
94 2*47 1,2,47,94 4 144 Brandon C.
95 2*47*5*19 1,5,19,95 4 120 Fanny S.
96 25*3 1,2,3,4,6,8,12,16,24,32,48 11 157 Fanny S.
97 97 1,97 2 98 Fanny S.
98 2*72 1,2,7,14,49,98 6 171 Fanny S.
99 32*11 1,3,9,11,33,99 6 156 Fanny S.
100 22*52 1,2,4,5,10,20,25,50,100 9 217 Nate A.
101 101 1,101 2 102 Nate A.
102 17*3*2 1,2,3,6,17,34,51,102 8 216 Nate A.
103 103 1,103 2 104 Nate A.
104 23*13 1,2,4,8,13,26,52,104 8 210 Nate A.
105 5*7*3 1,105,3,35,5,21,7,17, 8 194 Jon M.
106 22*53 1,106,2,53, 4 162 Jon M.
107 107 1,107 2 108 Jon M.
108 22*33 1,108,2,54,4,27,6,18,12,9 10 241 Jon M.
109 109 1,109 2 110 Jon M.
110 2*5*11 1,2,5,10,11,22,55,110 8 216 Brett M.
111 3*37 1,3,37,111 4 152 Brett M.
112 24*7 1,2,4,7,8,14,16,28,56,112 10 248 Brett M.
113 113 1,113 2 114 Brett M.
114 2*3*19 1,2,3,6,19,38,57,114 8 240 Brett M.
115 5*23 1,5,23,115 4 144 Robert F.
116 22*29 1,2,4,29,58,116 6 210 Robert F.
117 32*13 1,3,9,13,39,117 6 182 Robert F.
118 2*59 1,2,59,118 4 180 Robert F.
119 7*17 1,7,17,119 4 144 Robert F.
120 23*3*5 1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120 16 360 Titilola B.
121 112 1,11,121 3 133 Titilola B
122 2*61 1,2,61,122 4 186 Titilola B
123 3*41 1,3,41,123 4 168 Titilola B
124 22*31 1,2,4,31,62,124 6 224 Titilola B
125 53 1,5,25,125 4 156 Titilola B