Is 4500 a deficient number and what is its deficiency?

Is 4500 a deficient number?

Here we will explain and calculate if 4500 is a deficient number and its deficiency if applicable.

4500 is a deficient number if the sum of its proper divisors is less than 4500.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 25 + 30 + 36 + 45 + 50 + 60 + 75 + 90 + 100 + 125 + 150 + 180 + 225 + 250 + 300 + 375 + 450 + 500 + 750 + 900 + 1125 + 1500 + 2250 = 9696.

9696 is not less than 4500. Therefore, 4500 is not a deficient number.

The deficiency of 4500 is 4500 minus the sum of its proper divisors. Thus, the deficiency of 4500 is 4500 - 9696 = No Deficiency

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