Is 3960 a deficient number and what is its deficiency?

Is 3960 a deficient number?

Here we will explain and calculate if 3960 is a deficient number and its deficiency if applicable.

3960 is a deficient number if the sum of its proper divisors is less than 3960.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 11 + 12 + 15 + 18 + 20 + 22 + 24 + 30 + 33 + 36 + 40 + 44 + 45 + 55 + 60 + 66 + 72 + 88 + 90 + 99 + 110 + 120 + 132 + 165 + 180 + 198 + 220 + 264 + 330 + 360 + 396 + 440 + 495 + 660 + 792 + 990 + 1320 + 1980 = 10080.

10080 is not less than 3960. Therefore, 3960 is not a deficient number.

The deficiency of 3960 is 3960 minus the sum of its proper divisors. Thus, the deficiency of 3960 is 3960 - 10080 = No Deficiency

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