10182

# 196-Algorithm: Palindromic Numbers

This Demonstration is an exploration and display of the 196-algorithm, which consists of taking a number, reversing its digit order, and then adding the result to the original value. The result tends to get one closer to a palindromic number (a palindromic number reads the same from left to right as from right to left, e.g. 1122211). The number 196 does not generate a palindromic number for at least 2,400,000 iterations.
The recording table keeps track of the last 10 entries. Click the "iterate" button to apply the algorithm once to the current number. The "jump" button lets you apply the algorithm up to 200 times with one click; it automatically stops once a palindromic number is reached. You can change the jump limit with the slider. If you change the initial number, both the iteration count and the table automatically reset. To reset manually, simply click the "reset" button.
Certain numbers (called Lychrel numbers) have not been found to generate a palindromic number as of yet; an example is 196, for which the algorithm is named.

### PERMANENT CITATION

 Share: Embed Interactive Demonstration New! Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details » Download Demonstration as CDF » Download Author Code »(preview ») Files require Wolfram CDF Player or Mathematica.

#### Related Topics

 RELATED RESOURCES
 The #1 tool for creating Demonstrations and anything technical. Explore anything with the first computational knowledge engine. The web's most extensive mathematics resource. An app for every course—right in the palm of your hand. Read our views on math,science, and technology. The format that makes Demonstrations (and any information) easy to share and interact with. Programs & resources for educators, schools & students. Join the initiative for modernizing math education. Walk through homework problems one step at a time, with hints to help along the way. Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet. Knowledge-based programming for everyone.