Is 4005 a deficient number?




Here we will explain and calculate if 4005 is a deficient number and its deficiency if applicable.

4005 is a deficient number if the sum of its proper divisors is less than 4005.

The sum of its proper divisors is calculated as follows: 1 + 3 + 5 + 9 + 15 + 45 + 89 + 267 + 445 + 801 + 1335 = 3015.

3015 is less than 4005. Therefore, 4005 is a deficient number.

The deficiency of 4005 is 4005 minus the sum of its proper divisors. Thus, the deficiency of 4005 is 4005 - 3015 = 990


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