Divide and append, all problem's solution
Source: Bundeswettbewerb Mathematik 1973, round 2, problem 2
May 1, 2007
number theory proposednumber theory
Problem Statement
We work in the decimal system and the following operations are allowed to be done with a positive integer:
a) append at the end of the number.
b) append at the end of the number.
c) divide the number by if it's even.
Show that starting with , we can reach every positive integer by a finite number of these operations