Is 3584 an abundant number and what is its abundance?

Is 3584 an abundant number?

Here we will explain and calculate if 3584 is an abundant number and its abundance if applicable.

3584 is an abundant number if the sum of its proper divisors is greater than 3584.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 7 + 8 + 14 + 16 + 28 + 32 + 56 + 64 + 112 + 128 + 224 + 256 + 448 + 512 + 896 + 1792 = 4600.

4600 is greater than 3584. Therefore, 3584 is an abundant number.

The abundance of 3584 is the sum of its proper divisors minus 3584. Thus, the abundance of 3584 is 4600 - 3584 = 1016

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