Is 5382 an abundant number and what is its abundance?

Is 5382 an abundant number?

Here we will explain and calculate if 5382 is an abundant number and its abundance if applicable.

5382 is an abundant number if the sum of its proper divisors is greater than 5382.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 6 + 9 + 13 + 18 + 23 + 26 + 39 + 46 + 69 + 78 + 117 + 138 + 207 + 234 + 299 + 414 + 598 + 897 + 1794 + 2691 = 7722.

7722 is greater than 5382. Therefore, 5382 is an abundant number.

The abundance of 5382 is the sum of its proper divisors minus 5382. Thus, the abundance of 5382 is 7722 - 5382 = 2340

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