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

Home > Numbers
Long(infinite?) way to create a palindrome (Posted on 2012-11-04) Difficulty: 3 of 5
The Palindromic Number Conjecture states that: All integers will eventually produce a palindromic number if the following-algorithm is repeatedly applied to them:
Take an integer, reverse its digits and add it to itself,
it quickly becomes a palindromic number, that is, the digits are the same forwards and backward.
For example, start with 97:
97 + 79 = 176
176 + 671 = 847
847 + 748 = 1585
1585 + 5851 = 7546
7546 + 6457 = 14003
14003 + 30041 = 44044 ...done...
The conjecture has not been proven or found false for all integers in their base ten form.
Normally, the integers become palindromes quickly - until you get to x.

Find x.

Source: appears in several textbooks, papers and curios' collections.

See The Solution Submitted by Ady TZIDON    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution previous mention--spoiler Comment 2 of 2 |
In a comment on "2 digit palindrom", I had expanded upon its topic to include the pertinant answer to the current puzzle: 196.
  Posted by Charlie on 2012-11-04 17:29:58
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 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information