Is 1764 an abundant number and what is its abundance?

Is 1764 an abundant number?

Here we will explain and calculate if 1764 is an abundant number and its abundance if applicable.

1764 is an abundant number if the sum of its proper divisors is greater than 1764.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 9 + 12 + 14 + 18 + 21 + 28 + 36 + 42 + 49 + 63 + 84 + 98 + 126 + 147 + 196 + 252 + 294 + 441 + 588 + 882 = 3423.

3423 is greater than 1764. Therefore, 1764 is an abundant number.

The abundance of 1764 is the sum of its proper divisors minus 1764. Thus, the abundance of 1764 is 3423 - 1764 = 1659

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