Is 1004 a deficient number and what is its deficiency?

Is 1004 a deficient number?

Here we will explain and calculate if 1004 is a deficient number and its deficiency if applicable.

1004 is a deficient number if the sum of its proper divisors is less than 1004.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 251 + 502 = 760.

760 is less than 1004. Therefore, 1004 is a deficient number.

The deficiency of 1004 is 1004 minus the sum of its proper divisors. Thus, the deficiency of 1004 is 1004 - 760 = 244

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