Is 1404 an abundant number and what is its abundance?

Is 1404 an abundant number?

Here we will explain and calculate if 1404 is an abundant number and its abundance if applicable.

1404 is an abundant number if the sum of its proper divisors is greater than 1404.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 13 + 18 + 26 + 27 + 36 + 39 + 52 + 54 + 78 + 108 + 117 + 156 + 234 + 351 + 468 + 702 = 2516.

2516 is greater than 1404. Therefore, 1404 is an abundant number.

The abundance of 1404 is the sum of its proper divisors minus 1404. Thus, the abundance of 1404 is 2516 - 1404 = 1112

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