Is 2565 a deficient number and what is its deficiency?

Is 2565 a deficient number?

Here we will explain and calculate if 2565 is a deficient number and its deficiency if applicable.

2565 is a deficient number if the sum of its proper divisors is less than 2565.

The sum of its proper divisors is calculated as follows: 1 + 3 + 5 + 9 + 15 + 19 + 27 + 45 + 57 + 95 + 135 + 171 + 285 + 513 + 855 = 2235.

2235 is less than 2565. Therefore, 2565 is a deficient number.

The deficiency of 2565 is 2565 minus the sum of its proper divisors. Thus, the deficiency of 2565 is 2565 - 2235 = 330

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