Is 2142 an abundant number and what is its abundance?

Is 2142 an abundant number?

Here we will explain and calculate if 2142 is an abundant number and its abundance if applicable.

2142 is an abundant number if the sum of its proper divisors is greater than 2142.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 6 + 7 + 9 + 14 + 17 + 18 + 21 + 34 + 42 + 51 + 63 + 102 + 119 + 126 + 153 + 238 + 306 + 357 + 714 + 1071 = 3474.

3474 is greater than 2142. Therefore, 2142 is an abundant number.

The abundance of 2142 is the sum of its proper divisors minus 2142. Thus, the abundance of 2142 is 3474 - 2142 = 1332

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