Is 6825 an abundant number and what is its abundance?

Is 6825 an abundant number?

Here we will explain and calculate if 6825 is an abundant number and its abundance if applicable.

6825 is an abundant number if the sum of its proper divisors is greater than 6825.

The sum of its proper divisors is calculated as follows: 1 + 3 + 5 + 7 + 13 + 15 + 21 + 25 + 35 + 39 + 65 + 75 + 91 + 105 + 175 + 195 + 273 + 325 + 455 + 525 + 975 + 1365 + 2275 = 7063.

7063 is greater than 6825. Therefore, 6825 is an abundant number.

The abundance of 6825 is the sum of its proper divisors minus 6825. Thus, the abundance of 6825 is 7063 - 6825 = 238

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