Is 1008 a deficient number and what is its deficiency?

Is 1008 a deficient number?

Here we will explain and calculate if 1008 is a deficient number and its deficiency if applicable.

1008 is a deficient number if the sum of its proper divisors is less than 1008.

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 + 36 + 42 + 48 + 56 + 63 + 72 + 84 + 112 + 126 + 144 + 168 + 252 + 336 + 504 = 2216.

2216 is not less than 1008. Therefore, 1008 is not a deficient number.

The deficiency of 1008 is 1008 minus the sum of its proper divisors. Thus, the deficiency of 1008 is 1008 - 2216 = No Deficiency

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