Is 1600 a deficient number and what is its deficiency?

Is 1600 a deficient number?

Here we will explain and calculate if 1600 is a deficient number and its deficiency if applicable.

1600 is a deficient number if the sum of its proper divisors is less than 1600.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 25 + 32 + 40 + 50 + 64 + 80 + 100 + 160 + 200 + 320 + 400 + 800 = 2337.

2337 is not less than 1600. Therefore, 1600 is not a deficient number.

The deficiency of 1600 is 1600 minus the sum of its proper divisors. Thus, the deficiency of 1600 is 1600 - 2337 = No Deficiency

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