Is 1296 a deficient number and what is its deficiency?

Is 1296 a deficient number?

Here we will explain and calculate if 1296 is a deficient number and its deficiency if applicable.

1296 is a deficient number if the sum of its proper divisors is less 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 not less than 1296. Therefore, 1296 is not a deficient number.

The deficiency of 1296 is 1296 minus the sum of its proper divisors. Thus, the deficiency of 1296 is 1296 - 2455 = No Deficiency

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