Is 2016 a deficient number and what is its deficiency?

Is 2016 a deficient number?

Here we will explain and calculate if 2016 is a deficient number and its deficiency if applicable.

2016 is a deficient number if the sum of its proper divisors is less than 2016.

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 + 72 + 84 + 96 + 112 + 126 + 144 + 168 + 224 + 252 + 288 + 336 + 504 + 672 + 1008 = 4536.

4536 is not less than 2016. Therefore, 2016 is not a deficient number.

The deficiency of 2016 is 2016 minus the sum of its proper divisors. Thus, the deficiency of 2016 is 2016 - 4536 = No Deficiency

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