Is 588 an abundant number and what is its abundance?

Is 588 an abundant number?

Here we will explain and calculate if 588 is an abundant number and its abundance if applicable.

588 is an abundant number if the sum of its proper divisors is greater than 588.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 12 + 14 + 21 + 28 + 42 + 49 + 84 + 98 + 147 + 196 + 294 = 1008.

1008 is greater than 588. Therefore, 588 is an abundant number.

The abundance of 588 is the sum of its proper divisors minus 588. Thus, the abundance of 588 is 1008 - 588 = 420

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