# unitary divisor

Given the divisors^{} ${d}_{i}$ of an integer $n$, if it is the case that for a particular ${d}_{i}$ the equality $\mathrm{gcd}({d}_{i},\frac{n}{{d}_{i}})=1$ holds true, then ${d}_{i}$ is called a unitary divisor^{} of $n$. For example, the unitary divisors of 120 are 1, 3, 5, 8, 15, 24, 40, 120 (while 2, 4, 6, 10, 12, 20, 30, 60 are proper divisors but not unitary divisors). All the divisors of squarefree^{} numbers are also unitary divisors.

Title | unitary divisor |
---|---|

Canonical name | UnitaryDivisor |

Date of creation | 2013-03-22 16:53:20 |

Last modified on | 2013-03-22 16:53:20 |

Owner | CompositeFan (12809) |

Last modified by | CompositeFan (12809) |

Numerical id | 4 |

Author | CompositeFan (12809) |

Entry type | Definition |

Classification | msc 11A51 |