Narcissistic Number - Related Concepts

Related Concepts

The term "narcissistic number" is sometimes used in a wider sense to mean a number that is equal to any mathematical manipulation of its own digits. With this wider definition narcisstic numbers include:

  • Constant base numbers : for some m.
  • Perfect digit-to-digit invariants (sequence A046253 in OEIS) :
  • Ascending power numbers (sequence A032799 in OEIS) :
  • Friedman numbers (sequence A036057 in OEIS).
  • Sum-product numbers (sequence A038369 in OEIS) :
  • Dudeney numbers (sequence A061209 in OEIS) :
  • Factorions (sequence A014080 in OEIS) :

where di are the digits of n in some base.

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