Is 4410 an abundant number and what is its abundance?

Is 4410 an abundant number?

Here we will explain and calculate if 4410 is an abundant number and its abundance if applicable.

4410 is an abundant number if the sum of its proper divisors is greater than 4410.

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 + 49 + 63 + 70 + 90 + 98 + 105 + 126 + 147 + 210 + 245 + 294 + 315 + 441 + 490 + 630 + 735 + 882 + 1470 + 2205 = 8928.

8928 is greater than 4410. Therefore, 4410 is an abundant number.

The abundance of 4410 is the sum of its proper divisors minus 4410. Thus, the abundance of 4410 is 8928 - 4410 = 4518

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