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!

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## Comments

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TopNewestComment deleted Mar 09, 2016

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The quickest way is to apply the divisibility rules of 9.

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Hahaha of course!!

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Comment deleted Mar 12, 2016

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\[9|0\]

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Yeah of course just for fun ;3 :))

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Brilliant mind 😁😎

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Thanks! :)

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Super Sandeep bhardwaj

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Thanks! :)

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@Sandeep Bhardwaj it it's realy cool...

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Thanks! :)

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Nice one !

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Thanks! :)

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it's amazing

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Thanks! :)

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Kind of relevant (to the title)

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it's a great one . thnx for it

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Nice one. Thanks! :)

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