
Here we will explain and calculate if 840 is a deficient number and its deficiency if applicable.
840 is a deficient number if the sum of its proper divisors is less than 840.
The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 20 + 21 + 24 + 28 + 30 + 35 + 40 + 42 + 56 + 60 + 70 + 84 + 105 + 120 + 140 + 168 + 210 + 280 + 420 = 2040.
2040 is not less than 840. Therefore, 840 is not a deficient number.
The deficiency of 840 is 840 minus the sum of its proper divisors. Thus, the deficiency of 840 is 840 - 2040 = No Deficiency
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