Is 7008 an abundant number and what is its abundance?

Is 7008 an abundant number?

Here we will explain and calculate if 7008 is an abundant number and its abundance if applicable.

7008 is an abundant number if the sum of its proper divisors is greater than 7008.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 48 + 73 + 96 + 146 + 219 + 292 + 438 + 584 + 876 + 1168 + 1752 + 2336 + 3504 = 11640.

11640 is greater than 7008. Therefore, 7008 is an abundant number.

The abundance of 7008 is the sum of its proper divisors minus 7008. Thus, the abundance of 7008 is 11640 - 7008 = 4632

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