Is 4004 an abundant number and what is its abundance?

Is 4004 an abundant number?

Here we will explain and calculate if 4004 is an abundant number and its abundance if applicable.

4004 is an abundant number if the sum of its proper divisors is greater than 4004.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 7 + 11 + 13 + 14 + 22 + 26 + 28 + 44 + 52 + 77 + 91 + 143 + 154 + 182 + 286 + 308 + 364 + 572 + 1001 + 2002 = 5404.

5404 is greater than 4004. Therefore, 4004 is an abundant number.

The abundance of 4004 is the sum of its proper divisors minus 4004. Thus, the abundance of 4004 is 5404 - 4004 = 1400

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