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- Perfect_totient_number abstract "In number theory, a perfect totient number is an integer that is equal to the sum of its iterated totients. That is, we apply the totient function to a number n, apply it again to the resulting totient, and so on, until the number 1 is reached, and add together the resulting sequence of numbers; if the sum equals n, then n is a perfect totient number. Or to put it algebraically, ifwhereis the iterated totient function and c is the integer such thatthen n is a perfect totient number.The first few perfect totient numbers are3, 9, 15, 27, 39, 81, 111, 183, 243, 255, 327, 363, 471, 729, 2187, 2199, 3063, 4359, 4375, ... (sequence A082897 in OEIS).For example, start with 327. Then φ(327) = 216, φ(216) = 72, φ(72) = 24, φ(24) = 8, φ(8) = 4, φ(4) = 2, φ(2) = 1, and 216 + 72 + 24 + 8 + 4 + 2 + 1 = 327.".
- Perfect_totient_number wikiPageExternalLink luca66.pdf.
- Perfect_totient_number wikiPageExternalLink cohen50.pdf.
- Perfect_totient_number wikiPageID "8890014".
- Perfect_totient_number wikiPageRevisionID "557576160".
- Perfect_totient_number hasPhotoCollection Perfect_totient_number.
- Perfect_totient_number id "8741".
- Perfect_totient_number title "Perfect Totient Number".
- Perfect_totient_number subject Category:Integer_sequences.
- Perfect_totient_number type Abstraction100002137.
- Perfect_totient_number type Arrangement107938773.
- Perfect_totient_number type Group100031264.
- Perfect_totient_number type IntegerSequences.
- Perfect_totient_number type Ordering108456993.
- Perfect_totient_number type Sequence108459252.
- Perfect_totient_number type Series108457976.
- Perfect_totient_number comment "In number theory, a perfect totient number is an integer that is equal to the sum of its iterated totients. That is, we apply the totient function to a number n, apply it again to the resulting totient, and so on, until the number 1 is reached, and add together the resulting sequence of numbers; if the sum equals n, then n is a perfect totient number.".
- Perfect_totient_number label "Numero perfetto totiente".
- Perfect_totient_number label "Perfect totient number".
- Perfect_totient_number label "完全トーティエント数".
- Perfect_totient_number sameAs Numero_perfetto_totiente.
- Perfect_totient_number sameAs 完全トーティエント数.
- Perfect_totient_number sameAs m.027ngng.
- Perfect_totient_number sameAs Q3879418.
- Perfect_totient_number sameAs Q3879418.
- Perfect_totient_number sameAs Perfect_totient_number.
- Perfect_totient_number wasDerivedFrom Perfect_totient_number?oldid=557576160.
- Perfect_totient_number isPrimaryTopicOf Perfect_totient_number.