Is 1728 a deficient number and what is its deficiency?

Is 1728 a deficient number?

Here we will explain and calculate if 1728 is a deficient number and its deficiency if applicable.

1728 is a deficient number if the sum of its proper divisors is less than 1728.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 27 + 32 + 36 + 48 + 54 + 64 + 72 + 96 + 108 + 144 + 192 + 216 + 288 + 432 + 576 + 864 = 3352.

3352 is not less than 1728. Therefore, 1728 is not a deficient number.

The deficiency of 1728 is 1728 minus the sum of its proper divisors. Thus, the deficiency of 1728 is 1728 - 3352 = No Deficiency

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