Is 2880 a deficient number?




Here we will explain and calculate if 2880 is a deficient number and its deficiency if applicable.

2880 is a deficient number if the sum of its proper divisors is less than 2880.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 30 + 32 + 36 + 40 + 45 + 48 + 60 + 64 + 72 + 80 + 90 + 96 + 120 + 144 + 160 + 180 + 192 + 240 + 288 + 320 + 360 + 480 + 576 + 720 + 960 + 1440 = 7026.

7026 is not less than 2880. Therefore, 2880 is not a deficient number.

The deficiency of 2880 is 2880 minus the sum of its proper divisors. Thus, the deficiency of 2880 is 2880 - 7026 = No Deficiency


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