Is 5775 an abundant number and what is its abundance?

Is 5775 an abundant number?

Here we will explain and calculate if 5775 is an abundant number and its abundance if applicable.

5775 is an abundant number if the sum of its proper divisors is greater than 5775.

The sum of its proper divisors is calculated as follows: 1 + 3 + 5 + 7 + 11 + 15 + 21 + 25 + 33 + 35 + 55 + 75 + 77 + 105 + 165 + 175 + 231 + 275 + 385 + 525 + 825 + 1155 + 1925 = 6129.

6129 is greater than 5775. Therefore, 5775 is an abundant number.

The abundance of 5775 is the sum of its proper divisors minus 5775. Thus, the abundance of 5775 is 6129 - 5775 = 354

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