Is 5616 an abundant number and what is its abundance?

Is 5616 an abundant number?

Here we will explain and calculate if 5616 is an abundant number and its abundance if applicable.

5616 is an abundant number if the sum of its proper divisors is greater than 5616.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 13 + 16 + 18 + 24 + 26 + 27 + 36 + 39 + 48 + 52 + 54 + 72 + 78 + 104 + 108 + 117 + 144 + 156 + 208 + 216 + 234 + 312 + 351 + 432 + 468 + 624 + 702 + 936 + 1404 + 1872 + 2808 = 11744.

11744 is greater than 5616. Therefore, 5616 is an abundant number.

The abundance of 5616 is the sum of its proper divisors minus 5616. Thus, the abundance of 5616 is 11744 - 5616 = 6128

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