Is 1584 a deficient number and what is its deficiency?

Is 1584 a deficient number?

Here we will explain and calculate if 1584 is a deficient number and its deficiency if applicable.

1584 is a deficient number if the sum of its proper divisors is less than 1584.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 11 + 12 + 16 + 18 + 22 + 24 + 33 + 36 + 44 + 48 + 66 + 72 + 88 + 99 + 132 + 144 + 176 + 198 + 264 + 396 + 528 + 792 = 3252.

3252 is not less than 1584. Therefore, 1584 is not a deficient number.

The deficiency of 1584 is 1584 minus the sum of its proper divisors. Thus, the deficiency of 1584 is 1584 - 3252 = No Deficiency

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