Abundant number

From Wikipedia, the free encyclopedia
Jump to: navigation, search

An abundant number is a number n for which its sum of divisors is greater than 2n. 12 is an abundant number because 1 + 2 + 3 + 4 + 6 + 12 > 24. 18 is also an abundant number because 1 + 2 + 3 + 6 + 9 + 18 > 36. The series is in the Online Encyclopedia of Integer Sequences (Sloane) as A005101. The first 14 abundant numbers are:12, 18, 20, 24, 30, 36, 40, 42, 48, 54, 56, 60, 66, 72. 945 is the first odd abundant number.

List of abundant numbers[change | change source]

List of the first 90 abundant numbers:

12 18 20 24 30 36 40 42 48 54
56 60 66 72 78 80 84 88 90 96
100 102 104 108 112 114 120 126 132 138
140 144 150 156 160 162 168 174 176 180
186 192 196 198 200 204 208 210 216 220
222 224 228 234 240 246 252 258 260 264
270 272 276 280 282 288 294 300 304 306
308 312 318 320 324 330 336 340 342 348
350 352 354 360 364 366 368 372 378 380