Is 4160 a deficient number and what is its deficiency?

Is 4160 a deficient number?

Here we will explain and calculate if 4160 is a deficient number and its deficiency if applicable.

4160 is a deficient number if the sum of its proper divisors is less than 4160.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 8 + 10 + 13 + 16 + 20 + 26 + 32 + 40 + 52 + 64 + 65 + 80 + 104 + 130 + 160 + 208 + 260 + 320 + 416 + 520 + 832 + 1040 + 2080 = 6508.

6508 is not less than 4160. Therefore, 4160 is not a deficient number.

The deficiency of 4160 is 4160 minus the sum of its proper divisors. Thus, the deficiency of 4160 is 4160 - 6508 = No Deficiency

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