Is 7524 an abundant number and what is its abundance?

Is 7524 an abundant number?

Here we will explain and calculate if 7524 is an abundant number and its abundance if applicable.

7524 is an abundant number if the sum of its proper divisors is greater than 7524.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 9 + 11 + 12 + 18 + 19 + 22 + 33 + 36 + 38 + 44 + 57 + 66 + 76 + 99 + 114 + 132 + 171 + 198 + 209 + 228 + 342 + 396 + 418 + 627 + 684 + 836 + 1254 + 1881 + 2508 + 3762 = 14316.

14316 is greater than 7524. Therefore, 7524 is an abundant number.

The abundance of 7524 is the sum of its proper divisors minus 7524. Thus, the abundance of 7524 is 14316 - 7524 = 6792

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