Almost perfect number

Almost perfect number

In mathematics, an almost perfect number (sometimes also called "slightly defective number") is a natural number "n" such that the sum of all divisors of "n" (the divisor function "σ"("n")) is equal to 2"n" - 1. The only known odd almost perfect number is 1, and the only even almost perfect numbers known are those of the form 2"k" for some natural number "k"; however, it has not been shown that all almost perfect numbers are of this form. Almost perfect numbers are also known as least deficient numbers.

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