Is 2004 a deficient number and what is its deficiency?

Is 2004 a deficient number?

Here we will explain and calculate if 2004 is a deficient number and its deficiency if applicable.

2004 is a deficient number if the sum of its proper divisors is less than 2004.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 12 + 167 + 334 + 501 + 668 + 1002 = 2700.

2700 is not less than 2004. Therefore, 2004 is not a deficient number.

The deficiency of 2004 is 2004 minus the sum of its proper divisors. Thus, the deficiency of 2004 is 2004 - 2700 = No Deficiency

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