Is 2008 a deficient number and what is its deficiency?

Is 2008 a deficient number?

Here we will explain and calculate if 2008 is a deficient number and its deficiency if applicable.

2008 is a deficient number if the sum of its proper divisors is less than 2008.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 8 + 251 + 502 + 1004 = 1772.

1772 is less than 2008. Therefore, 2008 is a deficient number.

The deficiency of 2008 is 2008 minus the sum of its proper divisors. Thus, the deficiency of 2008 is 2008 - 1772 = 236

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