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Perfect totient number information


In number theory, a perfect totient number is an integer that is equal to the sum of its iterated totients. That is, one applies the totient function to a number n, apply it again to the resulting totient, and so on, until the number 1 is reached, and adds together the resulting sequence of numbers; if the sum equals n, then n is a perfect totient number.

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Perfect totient number

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In number theory, a perfect totient number is an integer that is equal to the sum of its iterated totients. That is, one applies the totient function...

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Perfect number

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In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number...

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Highly totient number

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A highly totient number k {\displaystyle k} is an integer that has more solutions to the equation ϕ ( x ) = k {\displaystyle \phi (x)=k} , where ϕ {\displaystyle...

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Multiply perfect number

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perfect number (also called multiperfect number or pluperfect number) is a generalization of a perfect number. For a given natural number k, a number...

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Almost perfect number

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mathematics, an almost perfect number (sometimes also called slightly defective or least deficient number) is a natural number n such that the sum of...

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