Is 6996 an abundant number and what is its abundance?

Is 6996 an abundant number?

Here we will explain and calculate if 6996 is an abundant number and its abundance if applicable.

6996 is an abundant number if the sum of its proper divisors is greater than 6996.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 11 + 12 + 22 + 33 + 44 + 53 + 66 + 106 + 132 + 159 + 212 + 318 + 583 + 636 + 1166 + 1749 + 2332 + 3498 = 11148.

11148 is greater than 6996. Therefore, 6996 is an abundant number.

The abundance of 6996 is the sum of its proper divisors minus 6996. Thus, the abundance of 6996 is 11148 - 6996 = 4152

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