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 |
