Is 4008 an abundant number and what is its abundance?

Is 4008 an abundant number?

Here we will explain and calculate if 4008 is an abundant number and its abundance if applicable.

4008 is an abundant number if the sum of its proper divisors is greater than 4008.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 24 + 167 + 334 + 501 + 668 + 1002 + 1336 + 2004 = 6072.

6072 is greater than 4008. Therefore, 4008 is an abundant number.

The abundance of 4008 is the sum of its proper divisors minus 4008. Thus, the abundance of 4008 is 6072 - 4008 = 2064

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