Is 4032 a deficient number and what is its deficiency?

Is 4032 a deficient number?

Here we will explain and calculate if 4032 is a deficient number and its deficiency if applicable.

4032 is a deficient number if the sum of its proper divisors is less than 4032.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 + 12 + 14 + 16 + 18 + 21 + 24 + 28 + 32 + 36 + 42 + 48 + 56 + 63 + 64 + 72 + 84 + 96 + 112 + 126 + 144 + 168 + 192 + 224 + 252 + 288 + 336 + 448 + 504 + 576 + 672 + 1008 + 1344 + 2016 = 9176.

9176 is not less than 4032. Therefore, 4032 is not a deficient number.

The deficiency of 4032 is 4032 minus the sum of its proper divisors. Thus, the deficiency of 4032 is 4032 - 9176 = No Deficiency

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