Is 1664 an abundant number and what is its abundance?

Is 1664 an abundant number?

Here we will explain and calculate if 1664 is an abundant number and its abundance if applicable.

1664 is an abundant number if the sum of its proper divisors is greater than 1664.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 8 + 13 + 16 + 26 + 32 + 52 + 64 + 104 + 128 + 208 + 416 + 832 = 1906.

1906 is greater than 1664. Therefore, 1664 is an abundant number.

The abundance of 1664 is the sum of its proper divisors minus 1664. Thus, the abundance of 1664 is 1906 - 1664 = 242

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