Is 2004 an abundant number and what is its abundance?

Is 2004 an abundant number?

Here we will explain and calculate if 2004 is an abundant number and its abundance if applicable.

2004 is an abundant number if the sum of its proper divisors is greater than 2004.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 12 + 167 + 334 + 501 + 668 + 1002 = 2700.

2700 is greater than 2004. Therefore, 2004 is an abundant number.

The abundance of 2004 is the sum of its proper divisors minus 2004. Thus, the abundance of 2004 is 2700 - 2004 = 696

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