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.



  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
    • 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 »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2018 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+