Is 3996 an abundant number and what is its abundance?

Is 3996 an abundant number?

Here we will explain and calculate if 3996 is an abundant number and its abundance if applicable.

3996 is an abundant number if the sum of its proper divisors is greater than 3996.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 27 + 36 + 37 + 54 + 74 + 108 + 111 + 148 + 222 + 333 + 444 + 666 + 999 + 1332 + 1998 = 6644.

6644 is greater than 3996. Therefore, 3996 is an abundant number.

The abundance of 3996 is the sum of its proper divisors minus 3996. Thus, the abundance of 3996 is 6644 - 3996 = 2648

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