Is 585 a deficient number and what is its deficiency?

Is 585 a deficient number?

Here we will explain and calculate if 585 is a deficient number and its deficiency if applicable.

585 is a deficient number if the sum of its proper divisors is less than 585.

The sum of its proper divisors is calculated as follows: 1 + 3 + 5 + 9 + 13 + 15 + 39 + 45 + 65 + 117 + 195 = 507.

507 is less than 585. Therefore, 585 is a deficient number.

The deficiency of 585 is 585 minus the sum of its proper divisors. Thus, the deficiency of 585 is 585 - 507 = 78

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