All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Stupid number trick IV (Posted on 2006-01-13) Difficulty: 3 of 5
Take any whole number greater than one.

1. If the number is odd, multiply it by three and add one.
2. If it is even divide it by two.
2a. If the result is still even, continue to divide by two until the result is odd.
3. Continue steps 1 and 2 until you get the same number twice.

[For example starting with 9 -> 28 -> 14 -> 7 which is considered one iteration. The next iteration brings this to 11.]

What number(s) does this process terminate at?
What starting value less than 200 takes the most iterations to terminate?

See The Solution Submitted by Jer    
Rating: 4.0000 (4 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: any suggestions?Hugo2006-02-04 14:53:31
any suggestions?Justin2006-02-03 23:11:23
*sniff*Hugo2006-02-03 21:05:03
Some Thoughts*sniff* (20 billion and no further) (starts crying)Justin2006-02-03 19:05:00
Some Thoughts14 billion and climbingJustin2006-01-24 11:04:28
Some ThoughtsNothing better to do (Up to 1 billion)Justin2006-01-21 14:31:03
Some ThoughtsSick of re(...), but here you goJustin2006-01-20 23:45:57
re(6): Going further (520,000,000+)Justin2006-01-20 13:44:27
Interesting . . . . . . . .Justin2006-01-20 13:41:34
re(5): Going further (520,000,000+)Hugo2006-01-20 13:04:51
re(4): Going further (520,000,000+)Justin2006-01-20 12:58:41
re(3): Going further (520,000,000+)Hugo2006-01-20 12:54:45
re(2): Going further (520,000,000+)Justin2006-01-20 09:05:18
re: Going further (520,000,000+)Hugo2006-01-19 17:24:25
Going further (520,000,000+)Justin2006-01-19 14:01:40
Questionre: AnswerJustin2006-01-19 13:49:01
re: Collatz ConjecturegoFish2006-01-14 02:20:05
AnswerJoe2006-01-13 20:18:47
Hints/TipsCollatz ConjectureThe riddler2006-01-13 19:04:03
A ContributiongoFish2006-01-13 18:52:17
re: interesting propertypcbouhid2006-01-13 16:11:34
interesting propertyBob Smith2006-01-13 15:36:31
TerminationDan2006-01-13 15:33:28
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information