All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Ellis Number (Posted on 2015-01-31) Difficulty: 3 of 5
Break up an integer into all possible groups without changing the order in which the digits are arranged, then multiply each set of groups out and sum the products.

Example: 326. 3x2x6, + 32x6, + 3x26 gives 36 + 192 + 78 = 306. If the result equals the original integer, it's an Ellis number.

How many Ellis numbers are there in the integers up to 10,000?

Sometimes the process leads to an integer which isn't an Ellis number but which, when subjected to the same process, leads back to the original number, and is thus a sort of cyclic Ellis number. Find all cyclic Ellis numbers less than 10,000.

No Solution Yet Submitted by Danish Ahmed Khan    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutioncomputer solutionCharlie2015-01-31 14:53:59
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 (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information