Is 1296 an abundant number and what is its abundance?

Is 1296 an abundant number?

Here we will explain and calculate if 1296 is an abundant number and its abundance if applicable.

1296 is an abundant number if the sum of its proper divisors is greater than 1296.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 27 + 36 + 48 + 54 + 72 + 81 + 108 + 144 + 162 + 216 + 324 + 432 + 648 = 2455.

2455 is greater than 1296. Therefore, 1296 is an abundant number.

The abundance of 1296 is the sum of its proper divisors minus 1296. Thus, the abundance of 1296 is 2455 - 1296 = 1159

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