# How to Solve the 3n+1 Problem in Python?

The 3n+1 Problem, also known as the Collatz Conjecture, is a mathematical problem that asks you to determine the number of steps it takes to reach 1 by repeatedly applying the following rules to a positive integer `n`:

• If `n` is even, divide it by 2.
• If `n` is odd, multiply it by 3 and add 1.

Here is an example of how to solve this problem in Python:

``````def collatz(n):
steps = 0
while n != 1:
if n % 2 == 0:
n //= 2
else:
n = 3*n + 1
steps += 1
return steps

# test the function with a sample input
n = 27
print(collatz(n))``````

In this solution, we define a function `collatz` that takes a positive integer `n` as input. The function initializes a variable `steps` to 0 to count the number of steps.

The function then repeatedly applies the rules of the 3n+1 problem until `n` reaches 1. If `n` is even, the function divides it by 2 using integer division (`//`). If `n` is odd, the function multiplies it by 3 and adds 1. The function increments the `steps` counter after each step.

After reaching 1, the function returns the number of steps taken to reach 1.

In the main part of the script, we test the function with a sample input integer `n` and print out the result.

To use this code with other inputs, simply replace `n` with the desired input integer.