Is 999 an abundant number and what is its abundance?

Is 999 an abundant number?

Here we will explain and calculate if 999 is an abundant number and its abundance if applicable.

999 is an abundant number if the sum of its proper divisors is greater than 999.

The sum of its proper divisors is calculated as follows: 1 + 3 + 9 + 27 + 37 + 111 + 333 = 521.

521 is not greater than 999. Therefore, 999 is not an abundant number.

The abundance of 999 is the sum of its proper divisors minus 999. Thus, the abundance of 999 is 521 - 999 = no abundance

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