## 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