Is 3996 a deficient number and what is its deficiency?

Is 3996 a deficient number?

Here we will explain and calculate if 3996 is a deficient number and its deficiency if applicable.

3996 is a deficient number if the sum of its proper divisors is less than 3996.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 27 + 36 + 37 + 54 + 74 + 108 + 111 + 148 + 222 + 333 + 444 + 666 + 999 + 1332 + 1998 = 6644.

6644 is not less than 3996. Therefore, 3996 is not a deficient number.

The deficiency of 3996 is 3996 minus the sum of its proper divisors. Thus, the deficiency of 3996 is 3996 - 6644 = No Deficiency

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