Is 1638 an abundant number and what is its abundance?

Is 1638 an abundant number?

Here we will explain and calculate if 1638 is an abundant number and its abundance if applicable.

1638 is an abundant number if the sum of its proper divisors is greater than 1638.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 6 + 7 + 9 + 13 + 14 + 18 + 21 + 26 + 39 + 42 + 63 + 78 + 91 + 117 + 126 + 182 + 234 + 273 + 546 + 819 = 2730.

2730 is greater than 1638. Therefore, 1638 is an abundant number.

The abundance of 1638 is the sum of its proper divisors minus 1638. Thus, the abundance of 1638 is 2730 - 1638 = 1092

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