Is 2736 an abundant number and what is its abundance?

Is 2736 an abundant number?

Here we will explain and calculate if 2736 is an abundant number and its abundance if applicable.

2736 is an abundant number if the sum of its proper divisors is greater than 2736.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 19 + 24 + 36 + 38 + 48 + 57 + 72 + 76 + 114 + 144 + 152 + 171 + 228 + 304 + 342 + 456 + 684 + 912 + 1368 = 5324.

5324 is greater than 2736. Therefore, 2736 is an abundant number.

The abundance of 2736 is the sum of its proper divisors minus 2736. Thus, the abundance of 2736 is 5324 - 2736 = 2588

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