Is 5742 an abundant number and what is its abundance?

Is 5742 an abundant number?

Here we will explain and calculate if 5742 is an abundant number and its abundance if applicable.

5742 is an abundant number if the sum of its proper divisors is greater than 5742.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 6 + 9 + 11 + 18 + 22 + 29 + 33 + 58 + 66 + 87 + 99 + 174 + 198 + 261 + 319 + 522 + 638 + 957 + 1914 + 2871 = 8298.

8298 is greater than 5742. Therefore, 5742 is an abundant number.

The abundance of 5742 is the sum of its proper divisors minus 5742. Thus, the abundance of 5742 is 8298 - 5742 = 2556

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