Is 7380 an abundant number and what is its abundance?

Is 7380 an abundant number?

Here we will explain and calculate if 7380 is an abundant number and its abundance if applicable.

7380 is an abundant number if the sum of its proper divisors is greater than 7380.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 30 + 36 + 41 + 45 + 60 + 82 + 90 + 123 + 164 + 180 + 205 + 246 + 369 + 410 + 492 + 615 + 738 + 820 + 1230 + 1476 + 1845 + 2460 + 3690 = 15552.

15552 is greater than 7380. Therefore, 7380 is an abundant number.

The abundance of 7380 is the sum of its proper divisors minus 7380. Thus, the abundance of 7380 is 15552 - 7380 = 8172

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