Is 3072 an abundant number and what is its abundance?

Is 3072 an abundant number?

Here we will explain and calculate if 3072 is an abundant number and its abundance if applicable.

3072 is an abundant number if the sum of its proper divisors is greater than 3072.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 48 + 64 + 96 + 128 + 192 + 256 + 384 + 512 + 768 + 1024 + 1536 = 5116.

5116 is greater than 3072. Therefore, 3072 is an abundant number.

The abundance of 3072 is the sum of its proper divisors minus 3072. Thus, the abundance of 3072 is 5116 - 3072 = 2044

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