Curious Math – Magical Numbers


Mathematics has always been a brainchild to so many things that have evolved in life, its a under statement that some mathematic calculations lead to amazing combinations in its own.

Well with amazing i do mean that they are amazing combinations used, the Fibonacci series is one of them, but how many such series do exist do we even know about them, here are few series which lead to an amazing amount of curiosity what numbers can do.

I found this through CuriousMath just wondering how many such combinations do exist, your inputs are always welcome, but still have a look at some amazing combinations numbers can perform.

3 x 37 = 111 and 1 + 1 + 1 = 3
6 x 37 = 222 and 2 + 2 + 2 = 6
9 x 37 = 333 and 3 + 3 + 3 = 9
12 x 37 = 444 and 4 + 4 + 4 = 12
15 x 37 = 555 and 5 + 5 + 5 = 15
18 x 37 = 666 and 6 + 6 + 6 = 18
21 x 37 = 777 and 7 + 7 + 7 = 21
24 x 37 = 888 and 8 + 8 + 8 = 24
27 x 37 = 999 and 9 + 9 + 9 = 27

1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111 = 12345678987654321

1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 +10 = 1111111111

9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888

1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321

7 x 7 = 49
67 x 67 = 4489
667 x 667 = 444889
6667 x 6667 = 44448889
66667 x 66667 = 4444488889
666667 x 666667 = 444444888889
6666667 x 6666667 = 44444448888889

and so on

4 x 4 = 16
34 x 34 = 1156
334 x 334 = 111556
3334 x 3334 = 11115556
33334 x 33334 = 1111155556

The above post is from http://techie-buzz.com/technology-buzz/mathematical-combinations-so-interesting.html
I was looking for the trackback, couldn’t find one  so thought I would make a post here.
Here is my note on the Curious Math

1 X 9 = 09   = 0 + 9 = 9
2 X 9 = 18   = 1 + 8 = 9
3 X 9 = 27   = 2 + 7 = 9
4 X 9 = 36   = 3 + 6 = 9
5 X 9 = 45   = 4 + 5 = 9
6 X 9 = 54   = 5 + 4 = 9
7 X 9 = 63   = 6 + 3 = 9
8 X 9 = 72   = 7 + 2 = 9
10 X 9 = 90 = 9 + 0 = 9

 and the the magical number is 9
Do feel free to add more magical numbers.

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13 thoughts on “Curious Math – Magical Numbers

  1. Pingback: Writing - Sample Humor Article » The Writing Buzz

  2. When I was a little kid I used to be amazed by that stuff, but not any more. Nowadays these seem like natural laws of the base-10 number system. These are not mystical random events. All these formulae can be proven with induction.

  3. Pingback: » Curious Math - AhSoon 阿順

  4. What is the origin of the 111 X111 = 12,321 series? I am a student and need to site the source. Thank you for your consideration of this request.

  5. nitro2k01:
    Natural laws or not, inductively reasonable or not — and I agree with both (except I think I’d use *deductive* reasoning) — such patterns in nature are beautiful. It very much feels like seeing something of the structure of our universe. Such series are fundamental artifacts of logic, objects set into the firmament of reason just as the stars are set into space and time … beautiful.

  6. Thanks 4 presenting this type of useful math,keep it up.contact me -akhyat mohanty c/o The loot ,Ganesh market ,p.o. Baripada,orissa 757001 or call 9437089930

  7. RE: Curious Math – Magical Numbers

    Here is more to consider about the number “9”

    If you take any whole number from “10” on up as high as you want to go; then, sum and reduce the whole number to a single digit; then, subtract that number from the original number; then, sum and reduce the resulting number to a single digit; and that single digit will always be the number “9”!

    e.g. 386,974 = 3+8+6+9+7+4 = 37; 386,974-37 = 386,937 = 3+8+6+9+3+7 = 36; 3+6 = 9!

    Go ahead, try this with any whole number. The final result will always be the same…the magical number 9!

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