My 9 favourite numbers and their arrangement…

The first 9 natural numbers and their arrangement so displayed is one of my favourites in mathematics and I am pretty sure that it will be one of your favourites too after reading this post. Well let’s start:

Form 6 digits numbers across any row/column/diagonal: For example if you take the first row, 789987 something like a palindrome (number which is the same from both the directions). If you do all possible combinations, you’ll end up with 16 of them (including the cases where the starting number for that particular row/column/diagonal is not the same). Here’s the list of all those possible numbers:

1. 123321
2. 321123
3. 456654
4. 654456
5. 789987
6. 987789
7. 741147
8. 147741
9. 258852
10. 852258
11. 963369
12. 369963
13. 753357
14. 357753
15. 159951
16. 951159

That’s it. Now believe me, All of these numbers are divisible by a single number which is 37. The mistake finder, get ready for some dirty calculations because now I'll show you the value you get after dividing all these 6 digit number with 37: (The order remains the same)

1. 3333
2. 8679
3. 12342
4. 17688
5. 21351
6. 26697
7. 20031
8. 3993
9. 6996
10. 23034
11. 26037
12. 9999
13. 20361
14. 9669
15. 4323
16. 25707

All these numbers are divisible by a single number! What a coincidence and several of these numbers are just beauty. 3333, 9999, 9669 (palindrome)…

Well, this shows the beautiful side of mathematics considered ugly by the vast majority of humans. Dive into this world and you’ll find never ending joy and patterns which will behold your interest for a lifetime…

Thank You!…