Is 684 an abundant number and what is its abundance?

Is 684 an abundant number?

Here we will explain and calculate if 684 is an abundant number and its abundance if applicable.

684 is an abundant number if the sum of its proper divisors is greater than 684.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 19 + 36 + 38 + 57 + 76 + 114 + 171 + 228 + 342 = 1136.

1136 is greater than 684. Therefore, 684 is an abundant number.

The abundance of 684 is the sum of its proper divisors minus 684. Thus, the abundance of 684 is 1136 - 684 = 452

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