Is 5400 a deficient number and what is its deficiency?

Is 5400 a deficient number?

Here we will explain and calculate if 5400 is a deficient number and its deficiency if applicable.

5400 is a deficient number if the sum of its proper divisors is less than 5400.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 25 + 27 + 30 + 36 + 40 + 45 + 50 + 54 + 60 + 72 + 75 + 90 + 100 + 108 + 120 + 135 + 150 + 180 + 200 + 216 + 225 + 270 + 300 + 360 + 450 + 540 + 600 + 675 + 900 + 1080 + 1350 + 1800 + 2700 = 13200.

13200 is not less than 5400. Therefore, 5400 is not a deficient number.

The deficiency of 5400 is 5400 minus the sum of its proper divisors. Thus, the deficiency of 5400 is 5400 - 13200 = No Deficiency

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