Collatz Sequence Calculator
What is the Collatz Conjecture?
The Collatz Conjecture states that if we take any positive integer and repeatedly apply the following rules, we will eventually reach 1:
- If the number is even: divide it by 2.
- If the number is odd: multiply it by 3 and add 1.
Example: Starting with 6
Step by step:
- 6 → even → 6 ÷ 2 = 3
- 3 → odd → (3 × 3) + 1 = 10
- 10 → even → 10 ÷ 2 = 5
- 5 → odd → (5 × 3) + 1 = 16
- 16 → even → 16 ÷ 2 = 8
- 8 → even → 8 ÷ 2 = 4
- 4 → even → 4 ÷ 2 = 2
- 2 → even → 2 ÷ 2 = 1
The sequence for 6 is: 6, 3, 10, 5, 16, 8, 4, 2, 1