Is 4992 a deficient number and what is its deficiency?

Is 4992 a deficient number?

Here we will explain and calculate if 4992 is a deficient number and its deficiency if applicable.

4992 is a deficient number if the sum of its proper divisors is less than 4992.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 13 + 16 + 24 + 26 + 32 + 39 + 48 + 52 + 64 + 78 + 96 + 104 + 128 + 156 + 192 + 208 + 312 + 384 + 416 + 624 + 832 + 1248 + 1664 + 2496 = 9288.

9288 is not less than 4992. Therefore, 4992 is not a deficient number.

The deficiency of 4992 is 4992 minus the sum of its proper divisors. Thus, the deficiency of 4992 is 4992 - 9288 = No Deficiency

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