Mathematics is known for circumscribing stunning beauty of the existing patterns and relationships. And when such an awesomeness is around it becomes quite reluctant to say it a random coincidence. At that point of time one is compelled to think whether the God, itself, created Mathematics. *Is the God a mathematician?*

I'm here with an amusing property of numbers, lets name it as **THE GOD PROPERTY** which is revealed in the following steps.

Step 1:Think of any whole number in you mind (say X).

Step 2:Rearrange the digits of that whole number in any way you like. And lets say the new number obtained after the rearrangement is Y.

Step 3:Then |X-Y| is divisible by 9.

Here I will take you through a couple of illustrations of THE GOD PROPERTY.

**Illustration 1:**

I thought of a 3 digit number 235.

I rearranged 235 as 523.

Subtracting: 523-235=288, which is divisible by 9.

**Illustration 2:**

I thought of a 7 digit number 1987653.

I rearranged it as 7856319.

Subtracting:7856319-1987653=5868666, which is divisible by 9.

You are not finished yet. Here goes the stuff you can play around and poke this beauty.

**Question 1:** Prove that this is trye for any whole number of 4 digits.

**Question 2:** Prove that this is true for any whole number of any digits.

**Clarification:**

This note is not a debate or a discussion about anything related to the God. And if you're interested in such discussions, you can refer to the note: Does God exist?. Or you can join the *Philosophy* channel on Brilliant-Lounge and lead/participate/start the discussions over there.

Thanks!

## Comments

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divisibility rules of 9. – Pi Han Goh · 1 year, 2 months ago

The quickest way is to apply theLog in to reply

– Adarsh Kumar · 1 year, 2 months ago

Hahaha of course!!Log in to reply

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– Harsh Shrivastava · 1 year, 2 months ago

\[9|0\]Log in to reply

– Chinmay Sangawadekar · 1 year, 2 months ago

Yeah of course just for fun ;3 :))Log in to reply

Brilliant mind 😁😎 – Gaurav Anand · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 2 months ago

Thanks! :)Log in to reply

Super Sandeep bhardwaj – Sai Kiran · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 2 months ago

Thanks! :)Log in to reply

@Sandeep Bhardwaj it it's realy cool... – Chinmay Sangawadekar · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 2 months ago

Thanks! :)Log in to reply

Nice one ! – Pawan Pal · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 2 months ago

Thanks! :)Log in to reply

it's amazing – Sri Lakshmi Topella · 1 year, 2 months ago

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– Sandeep Bhardwaj · 1 year, 2 months ago

Thanks! :)Log in to reply

Kind of relevant (to the title) – Nihar Mahajan · 1 year, 2 months ago

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– Satyabrata Dash · 1 year, 2 months ago

it's a great one . thnx for itLog in to reply

– Sandeep Bhardwaj · 1 year, 2 months ago

Nice one. Thanks! :)Log in to reply