Is 4004 a deficient number?




Here we will explain and calculate if 4004 is a deficient number and its deficiency if applicable.

4004 is a deficient number if the sum of its proper divisors is less than 4004.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 7 + 11 + 13 + 14 + 22 + 26 + 28 + 44 + 52 + 77 + 91 + 143 + 154 + 182 + 286 + 308 + 364 + 572 + 1001 + 2002 = 5404.

5404 is not less than 4004. Therefore, 4004 is not a deficient number.

The deficiency of 4004 is 4004 minus the sum of its proper divisors. Thus, the deficiency of 4004 is 4004 - 5404 = No Deficiency


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