Is 4400 an abundant number and what is its abundance?

Is 4400 an abundant number?

Here we will explain and calculate if 4400 is an abundant number and its abundance if applicable.

4400 is an abundant number if the sum of its proper divisors is greater than 4400.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 8 + 10 + 11 + 16 + 20 + 22 + 25 + 40 + 44 + 50 + 55 + 80 + 88 + 100 + 110 + 176 + 200 + 220 + 275 + 400 + 440 + 550 + 880 + 1100 + 2200 = 7132.

7132 is greater than 4400. Therefore, 4400 is an abundant number.

The abundance of 4400 is the sum of its proper divisors minus 4400. Thus, the abundance of 4400 is 7132 - 4400 = 2732

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