Is 3660 an abundant number and what is its abundance?

Is 3660 an abundant number?

Here we will explain and calculate if 3660 is an abundant number and its abundance if applicable.

3660 is an abundant number if the sum of its proper divisors is greater than 3660.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 10 + 12 + 15 + 20 + 30 + 60 + 61 + 122 + 183 + 244 + 305 + 366 + 610 + 732 + 915 + 1220 + 1830 = 6756.

6756 is greater than 3660. Therefore, 3660 is an abundant number.

The abundance of 3660 is the sum of its proper divisors minus 3660. Thus, the abundance of 3660 is 6756 - 3660 = 3096

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