Is 825 a deficient number and what is its deficiency?

Is 825 a deficient number?

Here we will explain and calculate if 825 is a deficient number and its deficiency if applicable.

825 is a deficient number if the sum of its proper divisors is less than 825.

The sum of its proper divisors is calculated as follows: 1 + 3 + 5 + 11 + 15 + 25 + 33 + 55 + 75 + 165 + 275 = 663.

663 is less than 825. Therefore, 825 is a deficient number.

The deficiency of 825 is 825 minus the sum of its proper divisors. Thus, the deficiency of 825 is 825 - 663 = 162

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