A palindrome is something that reads the same forward as it does backward, like rotor or glenelg. A palindromic number is a number, like 12321, that remains the same when its digits are reversed.The **Palindromic Number Conjecture** states that any number can be changed into a palindromic number by reversing the digits and adding to the original number a finite amount of times.For example, the number 23 can be turned into a palindromic number in just one step:23 + 32 => 55Some numbers take more steps, such as 57:57 + 75 => 132 + 231 => 363In fact, about 80% of all numbers under 10,000 solve in 4 or less steps. About 90% solve in 7 steps or less.Then there is 196. Mathematicians have tried the reverse and add process for 196, hundreds of millions of iterations (to 300 million digits) without finding a palindrome. So is 196 an exception? Mathematicians have not been able to prove it either way, which is why it is still called the palindromic number conjecture instead of the palindromic number theorem.

A parting palindromic number nugget:1 * 1 = 111 * 11 = 121111 * 111 = 123211111 * 1111 = 1234321….. and on, and on, to….111,111,111 x 111,111,111 = 12345678987654321

Haven’t had enough? Check out the following links.

- Palindromic Numbers from Wikipedia
- 196 and Other Lychrel Numbers by Wade VanLandingham
- The Palindrome 196 Quest by Jason Allen Doucette
- The Palindrome 196 Problem by István Bozsik
- Search for the biggest numeric palindrome by Ian J. Peter
- Making Numbers into Palindromic Numbers
- Palindromic Number Conjecture
- 196-Algorithm (Eric W. Weisstein’s page)
- Digit Reversal Sums Leading to Palindromes
- The Palindrome Order of a Number
- The Ultimate Palindrome