Is 2961 a deficient number and what is its deficiency?

Is 2961 a deficient number?

Here we will explain and calculate if 2961 is a deficient number and its deficiency if applicable.

2961 is a deficient number if the sum of its proper divisors is less than 2961.

The sum of its proper divisors is calculated as follows: 1 + 3 + 7 + 9 + 21 + 47 + 63 + 141 + 329 + 423 + 987 = 2031.

2031 is less than 2961. Therefore, 2961 is a deficient number.

The deficiency of 2961 is 2961 minus the sum of its proper divisors. Thus, the deficiency of 2961 is 2961 - 2031 = 930

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