perplexus.info :: Just Math : Same Six Digits

Same Six Digits (Posted on 2014-03-26)

What are the possible values of a six digit positive integer N, where all digits of N are different, and 4*N has the same six digits as N?

Prove that there are no others.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

There are precisely 6720 values of N.
For an explanation, refer to the discussions written by Ady TZIDON and Steve Herman in the comments.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): Let me count the ways	Ady TZIDON	2014-03-26 13:44:26
re: Let Me REcount the ways	Ady TZIDON	2014-03-26 13:42:26
re: Let me count the ways	Steve Herman	2014-03-26 13:42:02
re: program solution qualifies for Sloane's listing	Ady TZIDON	2014-03-26 13:26:03
program solution	Charlie	2014-03-26 10:59:32
Let me count the ways	Steve Herman	2014-03-26 10:21:32

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