Abundant number
number for which the sum of its proper divisors is greater than the number itself
An abundant number is a number for which its sum of divisors is greater than . 12 is an abundant number because . 18 is also an abundant number because . The series is in the Online Encyclopedia of Integer Sequences (Sloane) as A005101. 945 is the first odd abundant number.
If a number is not abundant, it is called either deficient or perfect.
List of abundant numbers
changeList 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 |