Is 3936 an abundant number and what is its abundance?

Is 3936 an abundant number?

Here we will explain and calculate if 3936 is an abundant number and its abundance if applicable.

3936 is an abundant number if the sum of its proper divisors is greater than 3936.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 41 + 48 + 82 + 96 + 123 + 164 + 246 + 328 + 492 + 656 + 984 + 1312 + 1968 = 6648.

6648 is greater than 3936. Therefore, 3936 is an abundant number.

The abundance of 3936 is the sum of its proper divisors minus 3936. Thus, the abundance of 3936 is 6648 - 3936 = 2712

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