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Enter Natural Number

Using the Collatz Conjecture

Go from 25 to 1

This takes 23 steps

We start with n = 25

Step 1 of 23 → n = 25

25 is odd

Multiply 3 by 25 and add 1

3(25) + 1

75 + 1

76

Step 2 of 23 → n = 76

76 is even

Divide 76 by 2

76 ÷ 2 = 38

Step 3 of 23 → n = 38

38 is even

Divide 38 by 2

38 ÷ 2 = 19

Step 4 of 23 → n = 19

19 is odd

Multiply 3 by 19 and add 1

3(19) + 1

57 + 1

58

Step 5 of 23 → n = 58

58 is even

Divide 58 by 2

58 ÷ 2 = 29

Step 6 of 23 → n = 29

29 is odd

Multiply 3 by 29 and add 1

3(29) + 1

87 + 1

88

Step 7 of 23 → n = 88

88 is even

Divide 88 by 2

88 ÷ 2 = 44

Step 8 of 23 → n = 44

44 is even

Divide 44 by 2

44 ÷ 2 = 22

Step 9 of 23 → n = 22

22 is even

Divide 22 by 2

22 ÷ 2 = 11

Step 10 of 23 → n = 11

11 is odd

Multiply 3 by 11 and add 1

3(11) + 1

33 + 1

34

Step 11 of 23 → n = 34

34 is even

Divide 34 by 2

34 ÷ 2 = 17

Step 12 of 23 → n = 17

17 is odd

Multiply 3 by 17 and add 1

3(17) + 1

51 + 1

52

Step 13 of 23 → n = 52

52 is even

Divide 52 by 2

52 ÷ 2 = 26

Step 14 of 23 → n = 26

26 is even

Divide 26 by 2

26 ÷ 2 = 13

Step 15 of 23 → n = 13

13 is odd

Multiply 3 by 13 and add 1

3(13) + 1

39 + 1

40

Step 16 of 23 → n = 40

40 is even

Divide 40 by 2

40 ÷ 2 = 20

Step 17 of 23 → n = 20

20 is even

Divide 20 by 2

20 ÷ 2 = 10

Step 18 of 23 → n = 10

10 is even

Divide 10 by 2

10 ÷ 2 = 5

Step 19 of 23 → n = 5

5 is odd

Multiply 3 by 5 and add 1

3(5) + 1

15 + 1

16

Step 20 of 23 → n = 16

16 is even

Divide 16 by 2

16 ÷ 2 = 8

Step 21 of 23 → n = 8

8 is even

Divide 8 by 2

8 ÷ 2 = 4

Step 22 of 23 → n = 4

4 is even

Divide 4 by 2

4 ÷ 2 = 2

Step 23 of 23 → n = 2

2 is even

Divide 2 by 2

2 ÷ 2 = 1

Final Answer

1 in 23 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 odd, then take 3n + 1
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?

algorithmA process to solve a problem in a set amount of timecollatz conjectureAlgorithm that uses the 3n + 1 algorithm which will always reach the number 1. even numbera whole number that is able to be divided by two into two equal whole numbersnatural numberthe positive integers (whole numbers)
1, 2, 3, ...odd numbera whole number that is not able to be divided by two into two equal whole numbers

Example calculations for the Collatz Conjecture Calculator

Collatz Conjecture Calculator Video


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