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 distinct 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 table below.
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 |