Is 1584 an abundant number and what is its abundance?

Is 1584 an abundant number?

Here we will explain and calculate if 1584 is an abundant number and its abundance if applicable.

1584 is an abundant number if the sum of its proper divisors is greater than 1584.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 11 + 12 + 16 + 18 + 22 + 24 + 33 + 36 + 44 + 48 + 66 + 72 + 88 + 99 + 132 + 144 + 176 + 198 + 264 + 396 + 528 + 792 = 3252.

3252 is greater than 1584. Therefore, 1584 is an abundant number.

The abundance of 1584 is the sum of its proper divisors minus 1584. Thus, the abundance of 1584 is 3252 - 1584 = 1668

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