perplexus.info :: Numbers : Singular pair of numbers

Home > Numbers

Singular pair of numbers (Posted on 2008-11-03)

What peculiarity do the numbers 567 and 854 share that no other three-digit positive integer number has?

See The Solution Submitted by pcbouhid

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

Puzzle Thoughts

Comment 4 of 4 |

SQUARE of 567 = 321489

SQUARE of 854 = 729316

Therefore, the uniqueness of the two numbers is that: each of them represents the digits 1-9 exactly once when the number and its square are written besides each other.

Posted by K Sengupta on 2023-08-17 08:56:10

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info