# Collatz Conjecture in Elm

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

1 | ```
exercism fetch elm 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.

## Elm Installation

Refer to the Exercism help page for Elm installation and learning resources.

## Writing the Code

The first time you start an exercise, you'll need to ensure you have the appropriate dependencies installed.

1 |
```
$ elm-package install --yes
``` |

Execute the tests with:

1 |
```
$ elm-test
``` |

Automatically run tests again when you save changes:

1 |
```
$ elm-test --watch
``` |

As you work your way through the test suite, be sure to remove the `skip <|`

calls from each test until you get them all passing!

## Source

An unsolved problem in mathematics named after mathematician Lothar Collatz https://en.wikipedia.org/wiki/3x_%2B_1_problem

## Submitting Incomplete Solutions

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