Is 3006 an abundant number and what is its abundance?

Is 3006 an abundant number?

Here we will explain and calculate if 3006 is an abundant number and its abundance if applicable.

3006 is an abundant number if the sum of its proper divisors is greater than 3006.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 6 + 9 + 18 + 167 + 334 + 501 + 1002 + 1503 = 3546.

3546 is greater than 3006. Therefore, 3006 is an abundant number.

The abundance of 3006 is the sum of its proper divisors minus 3006. Thus, the abundance of 3006 is 3546 - 3006 = 540

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