Amenable number
An amenable number is a positive integer for which there exists a multiset of as many integers as the original number that both add up to the original number and when multiplied together give the original number. To put it algebraically, for a positive integer n, there is a multiset of n integers {a1, ..., an}, for which the equalities hold. Negative numbers are allowed in the multiset. For example, 5 is amenable since 5 = 1 + (-1) + 1 + (-1) + 5. All and only those numbers congruent to 0 or 1 (mod 4), except 4, are amenable. The first few amenable numbers are: 1, 5, 8, 9, 12, 13 ... OEIS:
Wikipage disambiguates
Link from a Wikipage to another Wikipage
primaryTopic
Amenable number
An amenable number is a positive integer for which there exists a multiset of as many integers as the original number that both add up to the original number and when multiplied together give the original number. To put it algebraically, for a positive integer n, there is a multiset of n integers {a1, ..., an}, for which the equalities hold. Negative numbers are allowed in the multiset. For example, 5 is amenable since 5 = 1 + (-1) + 1 + (-1) + 5. All and only those numbers congruent to 0 or 1 (mod 4), except 4, are amenable. The first few amenable numbers are: 1, 5, 8, 9, 12, 13 ... OEIS:
has abstract
An amenable number is a positi ...... divisors add up to each other.
@en
Link from a Wikipage to an external page
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
875,002,587
Link from a Wikipage to another Wikipage
wikiPageUsesTemplate
subject
comment
An amenable number is a positi ...... : 1, 5, 8, 9, 12, 13 ... OEIS:
@en
label
Amenable number
@en