Is 2000 a deficient number and what is its deficiency?

Is 2000 a deficient number?

Here we will explain and calculate if 2000 is a deficient number and its deficiency if applicable.

2000 is a deficient number if the sum of its proper divisors is less than 2000.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 25 + 40 + 50 + 80 + 100 + 125 + 200 + 250 + 400 + 500 + 1000 = 2836.

2836 is not less than 2000. Therefore, 2000 is not a deficient number.

The deficiency of 2000 is 2000 minus the sum of its proper divisors. Thus, the deficiency of 2000 is 2000 - 2836 = No Deficiency

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