Is 3705 a deficient number and what is its deficiency?

Is 3705 a deficient number?

Here we will explain and calculate if 3705 is a deficient number and its deficiency if applicable.

3705 is a deficient number if the sum of its proper divisors is less than 3705.

The sum of its proper divisors is calculated as follows: 1 + 3 + 5 + 13 + 15 + 19 + 39 + 57 + 65 + 95 + 195 + 247 + 285 + 741 + 1235 = 3015.

3015 is less than 3705. Therefore, 3705 is a deficient number.

The deficiency of 3705 is 3705 minus the sum of its proper divisors. Thus, the deficiency of 3705 is 3705 - 3015 = 690

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