Is 3744 an abundant number and what is its abundance?

Is 3744 an abundant number?

Here we will explain and calculate if 3744 is an abundant number and its abundance if applicable.

3744 is an abundant number if the sum of its proper divisors is greater than 3744.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 13 + 16 + 18 + 24 + 26 + 32 + 36 + 39 + 48 + 52 + 72 + 78 + 96 + 104 + 117 + 144 + 156 + 208 + 234 + 288 + 312 + 416 + 468 + 624 + 936 + 1248 + 1872 = 7722.

7722 is greater than 3744. Therefore, 3744 is an abundant number.

The abundance of 3744 is the sum of its proper divisors minus 3744. Thus, the abundance of 3744 is 7722 - 3744 = 3978

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