Is 6660 an abundant number and what is its abundance?

Is 6660 an abundant number?

Here we will explain and calculate if 6660 is an abundant number and its abundance if applicable.

6660 is an abundant number if the sum of its proper divisors is greater than 6660.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 30 + 36 + 37 + 45 + 60 + 74 + 90 + 111 + 148 + 180 + 185 + 222 + 333 + 370 + 444 + 555 + 666 + 740 + 1110 + 1332 + 1665 + 2220 + 3330 = 14088.

14088 is greater than 6660. Therefore, 6660 is an abundant number.

The abundance of 6660 is the sum of its proper divisors minus 6660. Thus, the abundance of 6660 is 14088 - 6660 = 7428

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