# Collatz Conjecture – Steps to transform Number to 1

The Collatz conjecture is a conjecture in mathematics which states that no matter what value of *Positive Number N*, If the below sequence is followed then, the sequence will always reach 1.

- If N is even then do
**N = N/2** - If N is odd then do
**N = 3*N+1** - If N is 1 then stop else keep performing step 1 and step 2.

**Example:**

N = 7 Sequence: 7 -> 22 -> 11 -> 34 -> 17 -> 52 -> 26 -> 13 -> 40 -> 20 -> 10 -> 5 -> 16 -> 8 ->4 ->2 -> 1 N = 6 Sequence: 6 -> 3 -> 10 -> 5 -> 16 -> 8 ->4 ->2 -> 1

**Approach: Recursion**

N = N/2 if N is even and N = 3*N+1 if N is odd will be 2 recursive equations and if base case would be if N =1.

**Java Code:**

**Output:**

->7->22->11->34->17->52->26->13->40->20->10->5->16->8->4->2->1 Total Steps to transform N = 7 to 1: 16 ->6->3->10->5->16->8->4->2->1 Total Steps to transform N = 6 to 1: 8