Is 8004 an abundant number and what is its abundance?

Is 8004 an abundant number?

Here we will explain and calculate if 8004 is an abundant number and its abundance if applicable.

8004 is an abundant number if the sum of its proper divisors is greater than 8004.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 12 + 23 + 29 + 46 + 58 + 69 + 87 + 92 + 116 + 138 + 174 + 276 + 348 + 667 + 1334 + 2001 + 2668 + 4002 = 12156.

12156 is greater than 8004. Therefore, 8004 is an abundant number.

The abundance of 8004 is the sum of its proper divisors minus 8004. Thus, the abundance of 8004 is 12156 - 8004 = 4152

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