Is 784 an abundant number and what is its abundance?

Is 784 an abundant number?

Here we will explain and calculate if 784 is an abundant number and its abundance if applicable.

784 is an abundant number if the sum of its proper divisors is greater than 784.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 7 + 8 + 14 + 16 + 28 + 49 + 56 + 98 + 112 + 196 + 392 = 983.

983 is greater than 784. Therefore, 784 is an abundant number.

The abundance of 784 is the sum of its proper divisors minus 784. Thus, the abundance of 784 is 983 - 784 = 199

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