Is 3740 an abundant number and what is its abundance?

Is 3740 an abundant number?

Here we will explain and calculate if 3740 is an abundant number and its abundance if applicable.

3740 is an abundant number if the sum of its proper divisors is greater than 3740.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 10 + 11 + 17 + 20 + 22 + 34 + 44 + 55 + 68 + 85 + 110 + 170 + 187 + 220 + 340 + 374 + 748 + 935 + 1870 = 5332.

5332 is greater than 3740. Therefore, 3740 is an abundant number.

The abundance of 3740 is the sum of its proper divisors minus 3740. Thus, the abundance of 3740 is 5332 - 3740 = 1592

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