Is 4185 a deficient number and what is its deficiency?

Is 4185 a deficient number?

Here we will explain and calculate if 4185 is a deficient number and its deficiency if applicable.

4185 is a deficient number if the sum of its proper divisors is less than 4185.

The sum of its proper divisors is calculated as follows: 1 + 3 + 5 + 9 + 15 + 27 + 31 + 45 + 93 + 135 + 155 + 279 + 465 + 837 + 1395 = 3495.

3495 is less than 4185. Therefore, 4185 is a deficient number.

The deficiency of 4185 is 4185 minus the sum of its proper divisors. Thus, the deficiency of 4185 is 4185 - 3495 = 690

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