Is 4000 a deficient number and what is its deficiency?

Is 4000 a deficient number?

Here we will explain and calculate if 4000 is a deficient number and its deficiency if applicable.

4000 is a deficient number if the sum of its proper divisors is less than 4000.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 25 + 32 + 40 + 50 + 80 + 100 + 125 + 160 + 200 + 250 + 400 + 500 + 800 + 1000 + 2000 = 5828.

5828 is not less than 4000. Therefore, 4000 is not a deficient number.

The deficiency of 4000 is 4000 minus the sum of its proper divisors. Thus, the deficiency of 4000 is 4000 - 5828 = No Deficiency

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