Is 3024 an abundant number and what is its abundance?

Is 3024 an abundant number?

Here we will explain and calculate if 3024 is an abundant number and its abundance if applicable.

3024 is an abundant number if the sum of its proper divisors is greater than 3024.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 + 12 + 14 + 16 + 18 + 21 + 24 + 27 + 28 + 36 + 42 + 48 + 54 + 56 + 63 + 72 + 84 + 108 + 112 + 126 + 144 + 168 + 189 + 216 + 252 + 336 + 378 + 432 + 504 + 756 + 1008 + 1512 = 6896.

6896 is greater than 3024. Therefore, 3024 is an abundant number.

The abundance of 3024 is the sum of its proper divisors minus 3024. Thus, the abundance of 3024 is 6896 - 3024 = 3872

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