Is 3696 an abundant number and what is its abundance?

Is 3696 an abundant number?

Here we will explain and calculate if 3696 is an abundant number and its abundance if applicable.

3696 is an abundant number if the sum of its proper divisors is greater than 3696.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 11 + 12 + 14 + 16 + 21 + 22 + 24 + 28 + 33 + 42 + 44 + 48 + 56 + 66 + 77 + 84 + 88 + 112 + 132 + 154 + 168 + 176 + 231 + 264 + 308 + 336 + 462 + 528 + 616 + 924 + 1232 + 1848 = 8208.

8208 is greater than 3696. Therefore, 3696 is an abundant number.

The abundance of 3696 is the sum of its proper divisors minus 3696. Thus, the abundance of 3696 is 8208 - 3696 = 4512

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