# Part3

### Part3

###### Published on 17 July 2022

Explaining The Collatz Conjecture and solution

HS
##### Hans Stoiber
Hans's Personal Gallery
##### Transcript
00:05
Group 2 = 2
00:05
3
00:05
9 10 11 12 13 14 15 16
00:09
28 5 34 6 40 7 46 8
00:18
Group 3 = 2
00:18
4
00:18
17 18 19 20 21 22 23 24
00:18
25 26 27 28 29 30 31 32
00:20
52 9 58 10 64 11 70 12
00:20
52 9 58 10 64 11 70 12
00:22
76 13 82 14 90 15 96 16
00:23
52 9 58 10 64 11 70 12
00:37
How to find the position of any number
00:38
Let find the position of number 141
00:38
To find it, follow these steps
00:40
2
00:40
2
00:45
Increase the exponent
00:49
4 => 141
00:51
3
00:56
8
01:00
4
01:04
16
01:09
5
01:13
32
01:17
7
01:23
128
01:27
8
01:31
256
01:37
How to get the position of any number
01:37
2
01:37
8
01:37
= 256
01:37
Subtract 141 from 256
01:39
256 - 141 --------- 115
01:42
2
01:42
Decrease exponent
01:42
7
01:43
= 128
01:44
Subtract 115 from 128
01:46
128 -115 ------- 13
01:49
Now we know that in a group of 128 numbers "141" has position 13