Orthogonal to everything

# 13,378,652,542,289,211,298,224,525,687,331

So I'm working on sharpening up some skills: playing chess (man have I slipped), doing some problems from The Art of Computer Programming, and some ACM programming contest problems I picked up at the UofT Library last week. N-E-Way, yesterday I was playing around with searching for an elite palindromic number created from the 196-algorithm.

This algorithm is where you take a positive integer, say 132, you reverse the digits (231) and add them together (132 + 231 = 363). You'll notice that 363 is a palindrome. If the result for a particular n isn't a palindrome, you just take it and add its reverse, repeating what you just did. Most numbers turn into palindromes pretty quickly with this 'reverse-then-add' approach, but some don't (like, 196 doesn't seem to, even after >10 million tries). Since 196 is the smallest number that doesn't seem to ever reverse-add to a palindrome, they called the algorithm the 196 algorithm.

So I did a search for palindrome numbers obtained by the 196-algorithm that have the number 1337 or 31337 in them (for that is humorously elite like my phone number (800 966 1337). My program hasn't haven't yet found one with 31337 in it, but I did find one that started with 1337 (LEET), and that's good enough for this blog post.

So, if you take 11207151140109101108120410517120 and add it to its reverse 2171501402180110190104115170211 then you get the elite palindrome: 13378652542289211298224525687331 (which has 32 digits, which is also sexy).

Go tattoo it on your bodies.

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Anonymous Wednesday, April 09 2014 @ 03:38 PM EDT

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