Two integers and are
-multiamicable if

and

where is the Divisor Function and are Positive integers. If , is an Amicable Pair.

cannot have just one distinct prime factor, and if it has precisely two prime factors, then and
is Even. Small multiamicable numbers for small are given by Cohen *et al. *(1995). Several of
these numbers are reproduced in the below table.

1 | 6 | 76455288 | 183102192 |

1 | 7 | 52920 | 152280 |

1 | 7 | 16225560 | 40580280 |

1 | 7 | 90863136 | 227249568 |

1 | 7 | 16225560 | 40580280 |

1 | 7 | 70821324288 | 177124806144 |

1 | 7 | 199615613902848 | 499240550375424 |

**References**

Cohen, G. L; Gretton, S.; and Hagis, P. Jr. ``Multiamicable Numbers.'' *Math. Comput.* **64**, 1743-1753, 1995.

© 1996-9

1999-05-26