Is 7488 an abundant number and what is its abundance?

Is 7488 an abundant number?

Here we will explain and calculate if 7488 is an abundant number and its abundance if applicable.

7488 is an abundant number if the sum of its proper divisors is greater than 7488.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 13 + 16 + 18 + 24 + 26 + 32 + 36 + 39 + 48 + 52 + 64 + 72 + 78 + 96 + 104 + 117 + 144 + 156 + 192 + 208 + 234 + 288 + 312 + 416 + 468 + 576 + 624 + 832 + 936 + 1248 + 1872 + 2496 + 3744 = 15626.

15626 is greater than 7488. Therefore, 7488 is an abundant number.

The abundance of 7488 is the sum of its proper divisors minus 7488. Thus, the abundance of 7488 is 15626 - 7488 = 8138

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