For Geeks Only!… the Strange Case of Number 9.

For Geeks Only!… the Strange Case of Number 9.

I am one of the luckiest people in the world. I know because I got to study mathematics, well statistics and economics mostly, but still a branch of mathematics. It was certainly one of the most interesting challenges/experiences ever in my life. There is a beauty [in designing equations] in modeling real-life problems and solving them, even the proving out of solutions, not in a workshop but on paper, or a chalkboard. Truly amazing how once you’ve properly identified pertinent variables and manipulated their components under mathematical rules and arrived at a solution uncovering the correlation that exists between certain properties, or variables, that’s fascinating! The [mathematical] beauty of something proving itself out on paper can keep one coming back for more, kind of like making that one great shot in a golf round.

I bounced around forever back when I attended college courses and probably changed my major at least four times before I finally settled on majoring in Quantitative Methods (Statistics) then Economics. Math was one of the few courses I didn’t struggle much in during grade school, and Economics I remember interested me even back in 7th to 8th grade. Looking back on my scholastic record it looked mostly like a bowl of spaghetti early on, nothing made much sense. I couldn’t see any direction, it wasn’t until years later that choosing a track of Statistics and Economics began to pay off because I could finally see things clearly, partitioning them into categories and reasons I could interpret, understand and allowing me to design courses of action of benefit to me and the people I would advise. For that I’m grateful to God as I certainly didn’t plan this, I didn’t even see where this [bowl of spaghetti] was going until many years later.

So let’s discuss the mysterious Number 9. This number fascinates me since I found out on my own that when adding a numerical sequence with the sole purpose of reducing additions to a single digit the number 9 does some very interesting stuff that no other number does… before I present simple examples to my case I recently saw a piece someone else wrote on the number 9 having some unique properties. 9 is the only number that when multiplied by any other number, (except for 0 because anything multiplied by zero = zero), that the sum of the remaining digits will always equal 9. This concept is somewhat related to my personal discovery about the number 9 as well. So let’s look at what he was talking about with the number 9 first:
Examples:
1 x 9 = 9
2 x 9 = 18, and 1+8 = 9
3 x 9 = 27, and 2 +7 = 9,
… and so on, therefore 10 x 9 = 90, and 9 + 0 = 9.
So any and all multiplications of 9 will end up summing to a single digit of 9 as well. This is the only known number with these qualities.

Here’s what I discovered about the number 9. First as an example, I’m going to punch in a long sequence of numbers randomly, presented below –
15673980348592670573
Next, let’s remove all 9’s from this number sequence above PLUS I’m even going to remove all combinations of numbers from the above sequence that I find that even add up to 9! [but no worries if we miss one or two].
Here’s what I have left from the above sequence of numbers after this operation:
5703860573
Okay, I have reduced the number, but wait! I see there’s still two numbers that can add up to 9, so let’s remove the only 6 left in the sequence and just one of the 3’s:
Okay, now we have reduced my original number sequence down to just 57080573.
At this point all 9’s and sums of any two numbers that would have equaled 9 have been deleted from the original sequence, and now we’re going to simply add up the remaining numbers to reduce this long number string to one single digit:
5 + 7 + 0 + 8 + 0 + 5 + 7 + 3 = 35, and 3 + 5 = 8.
So the summation of my final string of numbers can be reduced to the number 8.

Okay, now we’re going to go back to my original number string, it’s quite long, and we’re going to add up every one of those original digits just to compare the two answers, and see whether my number 9 theory will prove out correct:
Remember my original number sequence above was 15673980348592670573.
So, 1 + 5 + 6 + 7 + 3 + 9 + 8 + 0 + 3 + 4 + 8 + 5 + 9 + 2 + 6 + 7 + 0 + 5 + 7 +3 = 98, and 9 + 8 = 17, and 1 + 7 = 8.
Wha-la! Same result as above where I eliminated all 9’s and even any two numbers that would add up to 9 from the original long number string. Truly amazing stuff this number 9 is!

Now the question remains, can any real-life applications be found for the uniqueness of number 9? Usually mathematical discoveries do find applications but only many years after the fact. Isaac Newton invented Calculus and many of us have been challenged with a course or two, or even three of those. It’s many applications include the measuring of velocity… I’m just doing my small part here, making you geeks aware that there’s something going on with the Number 9. 🙂

1
0 0 votes
Article Rating
Subscribe
Notify of
6 Comments
Newest
Oldest Most Voted
Inline Feedbacks
View all comments
Jeff Page
2 years ago

I was hanging at the G7 and headed to Germany to visit a city of the future with no carbon emissions, they’re curious why nothing works on cloudy, windless days but they’re working on it. The city’s name is Ferk Jer Berden. I ran into Joe Biden and he wanted to personally wish you a Happy Fourth of Easter!

1
Jeff Page
2 years ago

And all this time I was thinking, it’s got to be in the same hood as 10 Downing or just the end of a Beatles song.
Factoid: Most of us remember the eminent death and destruction of planet earth that was to take place on Jan 1, 2000. The true date was 9999; why? So much code ended in 999. Beta testing was nearly complete in 98. 1001 had been forgotten as well as 100 = 4. Thank you Mr Barton!

1
Brant Newman
2 years ago
Reply to  Jeff Page

Of course, the world was going to end because computers were not programmed for the year 2000. Software upgrades went viral and software companies sold a ton more than they would have back then. Software stock paybacks were a bitch… everyone knows where tech stocks went after January 1, 2000.

1
Blaise
2 years ago

Nice! This is called the “digital root.” Numberphile did an episode on this exact phenomenon. https://m.youtube.com/watch?v=FlndIiQa20o

1
2