Is 4416 an abundant number and what is its abundance?

Is 4416 an abundant number?

Here we will explain and calculate if 4416 is an abundant number and its abundance if applicable.

4416 is an abundant number if the sum of its proper divisors is greater than 4416.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 23 + 24 + 32 + 46 + 48 + 64 + 69 + 92 + 96 + 138 + 184 + 192 + 276 + 368 + 552 + 736 + 1104 + 1472 + 2208 = 7776.

7776 is greater than 4416. Therefore, 4416 is an abundant number.

The abundance of 4416 is the sum of its proper divisors minus 4416. Thus, the abundance of 4416 is 7776 - 4416 = 3360

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