# trimorphic number

Given a base $b$ integer

$$n=\sum _{i=1}^{k}{d}_{i}{b}^{i-1}$$ |

where ${d}_{1}$ is the least significant digit and ${d}_{k}$ is the most significant, if it’s also the case that the $k$ least significant digits of ${n}^{3}$ are the same of those of $n$, then $n$ is called a trimorphic number^{}.

All automorphic numbers (with $m=1$) are also trimorphic numbers, but not all trimorphic numbers are 1-automorphic.

Title | trimorphic number |
---|---|

Canonical name | TrimorphicNumber |

Date of creation | 2013-03-22 16:21:32 |

Last modified on | 2013-03-22 16:21:32 |

Owner | CompositeFan (12809) |

Last modified by | CompositeFan (12809) |

Numerical id | 5 |

Author | CompositeFan (12809) |

Entry type | Definition |

Classification | msc 11A63 |