Is 6624 an abundant number and what is its abundance?

Is 6624 an abundant number?

Here we will explain and calculate if 6624 is an abundant number and its abundance if applicable.

6624 is an abundant number if the sum of its proper divisors is greater than 6624.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 23 + 24 + 32 + 36 + 46 + 48 + 69 + 72 + 92 + 96 + 138 + 144 + 184 + 207 + 276 + 288 + 368 + 414 + 552 + 736 + 828 + 1104 + 1656 + 2208 + 3312 = 13032.

13032 is greater than 6624. Therefore, 6624 is an abundant number.

The abundance of 6624 is the sum of its proper divisors minus 6624. Thus, the abundance of 6624 is 13032 - 6624 = 6408

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