A general typology of number systems has to confront the problem of va
riation both in the number values in different languages and in the in
ventories of nominals involved. We start from the Smith-Stark Hierarch
y and extend this approach to additional numbers (such as dual and pau
cal). Associative plurals appear to undermine this typology, if we tre
at them as a third number. Either the associative plural or the ordina
ry plural proves to be exceptional. The morphology of associative mark
ing in Central Pome and in Central Alaskan Yup'ik suggests that this i
s the wrong approach. In Central Pome the associative contains an orig
inal plural segment. More significantly, Central Alaskan Yup'ik provid
es the ideal combination of three numbers and complex morphology to de
monstrate that associatives should not be treated as additional number
s. Associativity and number are realized separately, which shows that
associatives are a separate category interacting with number. This all
ows us to maintain the typology proposed.