Is 3630 an abundant number and what is its abundance?

Is 3630 an abundant number?

Here we will explain and calculate if 3630 is an abundant number and its abundance if applicable.

3630 is an abundant number if the sum of its proper divisors is greater than 3630.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 5 + 6 + 10 + 11 + 15 + 22 + 30 + 33 + 55 + 66 + 110 + 121 + 165 + 242 + 330 + 363 + 605 + 726 + 1210 + 1815 = 5946.

5946 is greater than 3630. Therefore, 3630 is an abundant number.

The abundance of 3630 is the sum of its proper divisors minus 3630. Thus, the abundance of 3630 is 5946 - 3630 = 2316

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