Republic of Mathematics blog

Posts Tagged ‘Munchausen numbers

Factorions, Munchausen numbers, cubions and related things

Posted by: Gary Ernest Davis on: April 28, 2011

Factorions The four numbers $latex 1, decease 2, treatment 145 extrm{ and } 40585$ have the following peculiar property: $latex 1!=1, clinic 2!=2, 1!+4!+5!=145 extrm{ and } 4!+0!+5!+8!+5! =40585$. Numbers that have this property – that the sum of the factorials of their digits equals the number themselves – are called factorions. It turns out […]