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Stupid number trick II (Posted on 2006-01-02) Difficulty: 2 of 5
Take any whole number (larger numbers are more interesting)

1. x=the number of even digits, y=the number of odd digits, z=the total number digits.
2. Concatenate to create the number xyz (a leading zero is ok if x=0)

[Example: 12345678901 has x=5, y=6, z=11 for step 1 and 5611 for step 2]

3. Repeat steps 1 and 2 of this process until your number is unchanged.

What number(s) will the process terminate at?
Will the process always terminate?
Find a 20 digit starting number that terminates in the maximum number of steps (among 20 digit numbers.)

See The Solution Submitted by Jer    
Rating: 3.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Answer Comment 6 of 6 |
The process will terminate at 123.
  Posted by K Sengupta on 2008-03-19 11:20:38
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