Is 1012 an abundant number and what is its abundance?

Is 1012 an abundant number?

Here we will explain and calculate if 1012 is an abundant number and its abundance if applicable.

1012 is an abundant number if the sum of its proper divisors is greater than 1012.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 11 + 22 + 23 + 44 + 46 + 92 + 253 + 506 = 1004.

1004 is not greater than 1012. Therefore, 1012 is not an abundant number.

The abundance of 1012 is the sum of its proper divisors minus 1012. Thus, the abundance of 1012 is 1004 - 1012 = no abundance

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