Does the function fx If even=x/2 If else= 3x+1 have a x number which when consecutiveley applied doesn't result in 1?

This is a well-known problem, known as the Collatz conjecture (http://en.wikipedia.org/wiki/Collatz_conjecture) and the answer is still unknown.  It has been tested by computer up to many millions and no exception has yet been found.  It refers to the natural numbers (1, 2, 3, ...etc.) only.

Example

x = 3 odd so 3x+1 = 10

x = 10 is even so x/2 = 5

x = 5 is odd so 3x+1 = 16

x = 16 is even so x/2 = 8

x = 8 is even so x/2 = 4

x = 4 is even so x/2 = 2

x = 2 is even so x/2 = 1

1 is odd so 3x+1 = 4

and clearly the cycle 4, 2, 1 now repeats forever!

.

I have no idea what you are talking about.    

I wrote a compter program to evaluate this ...

I haven't found a countradiction for whole numbers up through 1000, but that doesn't prove it for all cases ...

What does it mean Geno?  I do not understand the question. :/

Thanks Alan,

I did not realize it referred only to natural numbers - that was not specified in the question.

Hence the question was incomplete and I was not wrong when i said it did not make sense.