Enter Natural Number
Using the Collatz Conjecture
Go from 69 to 1
This takes 14 steps
We start with n = 69
Step 1 of 14 → n = 69
69 is odd
Multiply 3 by 69 and add 1
3(69) + 1
207 + 1
208
Step 2 of 14 → n = 208
208 is even
Divide 208 by 2
208 ÷ 2 = 104
Step 3 of 14 → n = 104
104 is even
Divide 104 by 2
104 ÷ 2 = 52
Step 4 of 14 → n = 52
52 is even
Divide 52 by 2
52 ÷ 2 = 26
Step 5 of 14 → n = 26
26 is even
Divide 26 by 2
26 ÷ 2 = 13
Step 6 of 14 → n = 13
13 is odd
Multiply 3 by 13 and add 1
3(13) + 1
39 + 1
40
Step 7 of 14 → n = 40
40 is even
Divide 40 by 2
40 ÷ 2 = 20
Step 8 of 14 → n = 20
20 is even
Divide 20 by 2
20 ÷ 2 = 10
Step 9 of 14 → n = 10
10 is even
Divide 10 by 2
10 ÷ 2 = 5
Step 10 of 14 → n = 5
5 is odd
Multiply 3 by 5 and add 1
3(5) + 1
15 + 1
16
Step 11 of 14 → n = 16
16 is even
Divide 16 by 2
16 ÷ 2 = 8
Step 12 of 14 → n = 8
8 is even
Divide 8 by 2
8 ÷ 2 = 4
Step 13 of 14 → n = 4
4 is even
Divide 4 by 2
4 ÷ 2 = 2
Step 14 of 14 → n = 2
2 is even
Divide 2 by 2
2 ÷ 2 = 1
Final Answer
1 in 14 steps
What is the Answer?
How does the Collatz Conjecture Calculator work?
Free Collatz Conjecture Calculator - Takes any natural number using the Collatz Conjecture and reduces it down to 1.
This calculator has 1 input.
What 2 formulas are used for the Collatz Conjecture Calculator?
if n is even, then n/2
For more math formulas, check out our Formula Dossier
What 5 concepts are covered in the Collatz Conjecture Calculator?
- algorithm
- A process to solve a problem in a set amount of time
- collatz conjecture
- Algorithm that uses the 3n + 1 algorithm which will always reach the number 1.
- even number
- a whole number that is able to be divided by two into two equal whole numbers
- natural number
- the positive integers (whole numbers)
1, 2, 3, ... - odd number
- a whole number that is not able to be divided by two into two equal whole numbers
