Abelianness-forcing number

Symbol-free definition
A natural number is said to be Abelianness-forcing if the following equivalent conditions hold:


 * Every group of that order is Abelian
 * Every group of that order is a direct product of Abelian Sylow subgroups

Stronger properties

 * Weaker than::Cyclicity-forcing number

Weaker properties

 * Stronger than::Nilpotence-forcing number
 * Stronger than::Solvability-forcing number