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.
I thought of a 3 digit number 235.
I rearranged 235 as 523.
Subtracting: 523-235=288, which is divisible by 9.
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.
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.