# Collatz Conjecture in Go

#### Calculate the number of steps to reach 1 using the Collatz conjecture

1 | ```
exercism fetch go collatz-conjecture
``` |

# Collatz Conjecture

The Collatz Conjecture or 3x+1 problem can be summarized as follows:

Take any positive integer n. If n is even, divide n by 2 to get n / 2. If n is odd, multiply n by 3 and add 1 to get 3n + 1. Repeat the process indefinitely. The conjecture states that no matter which number you start with, you will always reach 1 eventually.

Given a number n, return the number of steps required to reach 1.

## Examples

Starting with n = 12, the steps would be as follows:

- 12
- 6
- 3
- 10
- 5
- 16
- 8
- 4
- 2
- 1

Resulting in 9 steps. So for input n = 12, the return value would be 9.

## Running the tests

To run the tests run the command `go test`

from within the exercise directory.

If the test suite contains benchmarks, you can run these with the `-bench`

flag:

1 |
```
go test -bench .
``` |

Keep in mind that each reviewer will run benchmarks on a different machine, with different specs, so the results from these benchmark tests may vary.

## Further information

For more detailed information about the Go track, including how to get help if you're having trouble, please visit the exercism.io Go language page.

## Source

Wikipedia https://en.wikipedia.org/wiki/Collatz_conjecture

## Submitting Incomplete Solutions

It's possible to submit an incomplete solution so you can see how others have completed the exercise.