Something interesting read about ” The 3n+1 problem ” ( or collatz problem)

The *Collatz conjecture* is a named after **Lothar Collatz,** who first proposed it in

1937.

Take any natural number.

Now you derive a sequence of numbers according to the following rules.

If the number is *even,* the next number is **half** of it. If the number is* odd,* you have to **treble** it and add 1. This is the next number. This sequence always ends with the number 1.

The above rules can be called as *“Half Or*

*Triple Plus One*“or HOTPO

Let me start with my favourite number 7

As the number is odd, I need to treble (three times) it and add 1 to it.

Therefore , I get 22

22 is even number, I need to reduce it to half .I get 11

11 is odd number again, following the steps mentioned above , I get 34

7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1

From the above example , we see that the sequence ends up with 1 after performing several steps.

One more example ,so that you can get an understanding of the colltaz conjecture

( 3n+1 problem) .

Regardless of the number , the number always ends up with 1.

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## About Praveenkumar P Kalikeri

ABOUT US
Hey,Thanks for dropping by .First I would like to Appreciate for your love towards the Mathematics Subject.
My name is Praveenkumar Kalikeri.
I'm an Engineering Student from Karnataka , India.
My Passion for Mathematics , encouraged me to start this blog .
I Started loving the Mathematics subject from my schooling days.I was greatly motivated by teachers, parents who always helped me .
Numbers have Beauty !!
They fascinated me ..
As we all know best method to try out something new is to study old theories , concepts , its drawbacks, etc.
I ,myself Started learning Vedic Mathematics at age of 15.
Here , I will share vedic maths tricks learned and modified by me in simple manner which will be useful in various competitive exams.
"If You Believe , You Can Do".