Is 6750 an abundant number and what is its abundance?

Is 6750 an abundant number?

Here we will explain and calculate if 6750 is an abundant number and its abundance if applicable.

6750 is an abundant number if the sum of its proper divisors is greater than 6750.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 5 + 6 + 9 + 10 + 15 + 18 + 25 + 27 + 30 + 45 + 50 + 54 + 75 + 90 + 125 + 135 + 150 + 225 + 250 + 270 + 375 + 450 + 675 + 750 + 1125 + 1350 + 2250 + 3375 = 11970.

11970 is greater than 6750. Therefore, 6750 is an abundant number.

The abundance of 6750 is the sum of its proper divisors minus 6750. Thus, the abundance of 6750 is 11970 - 6750 = 5220

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