Is 8008 an abundant number and what is its abundance?

Is 8008 an abundant number?

Here we will explain and calculate if 8008 is an abundant number and its abundance if applicable.

8008 is an abundant number if the sum of its proper divisors is greater than 8008.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 7 + 8 + 11 + 13 + 14 + 22 + 26 + 28 + 44 + 52 + 56 + 77 + 88 + 91 + 104 + 143 + 154 + 182 + 286 + 308 + 364 + 572 + 616 + 728 + 1001 + 1144 + 2002 + 4004 = 12152.

12152 is greater than 8008. Therefore, 8008 is an abundant number.

The abundance of 8008 is the sum of its proper divisors minus 8008. Thus, the abundance of 8008 is 12152 - 8008 = 4144

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