Is 5824 an abundant number and what is its abundance?

Is 5824 an abundant number?

Here we will explain and calculate if 5824 is an abundant number and its abundance if applicable.

5824 is an abundant number if the sum of its proper divisors is greater than 5824.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 7 + 8 + 13 + 14 + 16 + 26 + 28 + 32 + 52 + 56 + 64 + 91 + 104 + 112 + 182 + 208 + 224 + 364 + 416 + 448 + 728 + 832 + 1456 + 2912 = 8400.

8400 is greater than 5824. Therefore, 5824 is an abundant number.

The abundance of 5824 is the sum of its proper divisors minus 5824. Thus, the abundance of 5824 is 8400 - 5824 = 2576

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