Is 1824 an abundant number and what is its abundance?

Is 1824 an abundant number?

Here we will explain and calculate if 1824 is an abundant number and its abundance if applicable.

1824 is an abundant number if the sum of its proper divisors is greater than 1824.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 19 + 24 + 32 + 38 + 48 + 57 + 76 + 96 + 114 + 152 + 228 + 304 + 456 + 608 + 912 = 3216.

3216 is greater than 1824. Therefore, 1824 is an abundant number.

The abundance of 1824 is the sum of its proper divisors minus 1824. Thus, the abundance of 1824 is 3216 - 1824 = 1392

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