Collatz

Collatz

Published on 15 July 2022

A solution to the Collatz Conjecture

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Transcript
00:00
Introduction
00:05
Conjecture
00:05
To the Collatz
00:10
It will be ....
00:14
explained
00:18
and
00:21
solved!
00:26
The problem explained.
00:45
Select an integer type number. If you have chosen an even number, divide it by two and continue.
00:49
Now if the result is odd or you started with an odd natural number x. Multiply by 3 and add 1.
00:52
From the resulting even number, divide by 2 to get a new number.
01:01
The Question
01:03
If you keep repeating this operation, it seems that you always eventually get to 1.
01:06
No matter what odd or even number you started with.
01:08
Is that true?
01:16
An example
01:18
12
01:21
An example
01:22
Even number get divided by 2
01:27
6
01:36
3
01:38
If odd then multiply by 3 and add 1
01:44
16
01:47
8