Is 1944 an abundant number and what is its abundance?

Is 1944 an abundant number?

Here we will explain and calculate if 1944 is an abundant number and its abundance if applicable.

1944 is an abundant number if the sum of its proper divisors is greater than 1944.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 18 + 24 + 27 + 36 + 54 + 72 + 81 + 108 + 162 + 216 + 243 + 324 + 486 + 648 + 972 = 3516.

3516 is greater than 1944. Therefore, 1944 is an abundant number.

The abundance of 1944 is the sum of its proper divisors minus 1944. Thus, the abundance of 1944 is 3516 - 1944 = 1572

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