Is 6336 an abundant number and what is its abundance?

Is 6336 an abundant number?

Here we will explain and calculate if 6336 is an abundant number and its abundance if applicable.

6336 is an abundant number if the sum of its proper divisors is greater than 6336.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 11 + 12 + 16 + 18 + 22 + 24 + 32 + 33 + 36 + 44 + 48 + 64 + 66 + 72 + 88 + 96 + 99 + 132 + 144 + 176 + 192 + 198 + 264 + 288 + 352 + 396 + 528 + 576 + 704 + 792 + 1056 + 1584 + 2112 + 3168 = 13476.

13476 is greater than 6336. Therefore, 6336 is an abundant number.

The abundance of 6336 is the sum of its proper divisors minus 6336. Thus, the abundance of 6336 is 13476 - 6336 = 7140

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