Is 630 an abundant number and what is its abundance?

Is 630 an abundant number?

Here we will explain and calculate if 630 is an abundant number and its abundance if applicable.

630 is an abundant number if the sum of its proper divisors is greater than 630.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 5 + 6 + 7 + 9 + 10 + 14 + 15 + 18 + 21 + 30 + 35 + 42 + 45 + 63 + 70 + 90 + 105 + 126 + 210 + 315 = 1242.

1242 is greater than 630. Therefore, 630 is an abundant number.

The abundance of 630 is the sum of its proper divisors minus 630. Thus, the abundance of 630 is 1242 - 630 = 612

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