Is 6930 an abundant number and what is its abundance?

Is 6930 an abundant number?

Here we will explain and calculate if 6930 is an abundant number and its abundance if applicable.

6930 is an abundant number if the sum of its proper divisors is greater than 6930.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 5 + 6 + 7 + 9 + 10 + 11 + 14 + 15 + 18 + 21 + 22 + 30 + 33 + 35 + 42 + 45 + 55 + 63 + 66 + 70 + 77 + 90 + 99 + 105 + 110 + 126 + 154 + 165 + 198 + 210 + 231 + 315 + 330 + 385 + 462 + 495 + 630 + 693 + 770 + 990 + 1155 + 1386 + 2310 + 3465 = 15534.

15534 is greater than 6930. Therefore, 6930 is an abundant number.

The abundance of 6930 is the sum of its proper divisors minus 6930. Thus, the abundance of 6930 is 15534 - 6930 = 8604

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