Beauty of numbers

Guys..help me...I have a problem..pls if anyone can provide a solution.The question is:- We randomly select any number,say,1234.Now,in this number there is one 1,one 2,one 3,one 4.So now we write his number as :- 11121314.At first writing the number of repetitions and then the number in ascending order.This is repeated again n again and a time comes when the number doesn't change anymore .This occurs for every integer .

  FOR EXAMPLE :=

-1234
-11121314
-51121314
-4112131415
-5112132415
-4122131425
-3132132415
-3122331415 <==
-3122331415 <==
The question is that why does this happen ???That too for every integer ..?? Even if u guys dont know the answer....just share ur ideas

#NumberTheory

Easy Math Editor

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Comments

To clarify, if we start with 1111111111, and then the next number is 101, is the "10" considered as "ten" or as "one zero"? IE, would the next line be 11110, or would it be 1021?

Calvin Lin Staff - 6 years, 1 month ago

No..no..TEN is not a digit.After writing"101"'it will be considered as 1 and 0.....All the best helping me further...now try

Saaket Sharma - 6 years, 1 month ago

someone.....please help me with this sum....even if u cannot complete..just share ur ideas

Saaket Sharma - 6 years ago

How did this idea strike into your mind ? Just eager to know. I'll surely think about it. @Saaket Sharma

Sandeep Bhardwaj - 6 years, 1 month ago

My maths teacher noticed this.He said he cudnt solve it,so asked us to find an explanation

Saaket Sharma - 6 years, 1 month ago

someone.....please help me with this sum....even if u cannot complete..just share ur ideas

Saaket Sharma - 6 years ago

someone.....please help me with this sum....even if u cannot complete..just share ur ideas

Saaket Sharma - 6 years ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$