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4,4,4,4.... (Posted on 2007-07-31) Difficulty: 3 of 5
I chose a certain sequencing rule, and I told my friend no matter what number he named, it would eventually end up at repeating 4s.

At first he chose 5, which ended in 4, 4, 4... Then he tried 18, which met the same fate. Even numbers like -42 and Pi ended in 4, 4, 4...

Still trying to outdo me, he started to get really creative. He tried 63424563562324 ... same. He even tried a googolplex and Avogadro's number. But alas all the numbers he tried ended up in 4,4,4. Finally he conceded.

What's the sequencing rule I use? Should he have conceded? Can you find any starting terms which don't end in 4, 4, 4...?

See The Solution Submitted by jduval    
Rating: 4.3333 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): 63424563562324 | Comment 7 of 8 |
(In reply to re: 63424563562324 by jduval)

Most of the programming was involved in just converting a number into its english-language form, and existed for prior puzzles. Only the element of counting the letters was changed (from something that gave letters different values, like A=1 to Z=26).
  Posted by Charlie on 2007-08-09 10:45:19

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