Find the smallest value of hexadecimal positive integer N which becomes 4*N when the last digit of N is moved to be the first. For example, turning (2345)₁₆ into (5234)₁₆. How about 2*N? 7*N? 8*N?

(In reply to computer solutions by Charlie)

Seeing you already posted, I thought you may have the answers to 7*N and 8*N.  I do not know what the solution for 7*N is, but I see why you did not find the solution for 8*N, as your upper limit for V is 1000000, when the solution is higher.


2*10842₁₆ = 24801₁₆ = 49505

4*104₁₆ = 401₁₆ = 260

7*  ???

8*1020408₁₆ = 8102040₁₆ = 135274560

Edited on December 23, 2014, 4:36 pm

Posted by Dej Mar on 2014-12-23 16:30:39