The Number 9 Enigma

Post by surfer_soul at ATS.

Some interesting facts and bizarre curiosity’s relating to the number 9 that’s worth sharing.

The Maths

Firstly 9 is the the only number that when multiplied by any other number will have a digital root of 9. For example:

9 x 27 = 243 2+4+3=9
9 x 7549869063 = 67948821567 6+7+9+4+8+8+2+1+5+6+7 =63 and 6+3 = 9
You can do this with any number you can imagine and the result will always be the same! Now I know what some may be thinking, “isn’t that like numerology, adding a series of numbers together doesn’t really mean anything” while It is the method numerology uses, this OP isn’t about numerology and I struggle to understand how any meanings are derived from the subject myself. But it’s certainly intriguing me much more now. Here’s some more info about digital roots.

Digital roots

The Wiki page also has a very interesting image of the Vedic square which I am unable to embed in this post unfortunately, but it is well worth examining the patterns that emerge in it if you’re not familiar with Vedic square.
Further there is this

There are other interesting patterns involving multiples of nine: 12345679 × 9 = 111111111 12345679 × 18 = 222222222 12345679 × 81 = 999999999

and this

The difference between a base-10 positive integer and the sum of its digits is a whole multiple of nine. Examples: The sum of the digits of 41 is 5, and 41 − 5 = 36. The digital root of 36 is 3 + 6 = 9, which, as explained above, demonstrates that it is divisible by nine. The sum of the digits of 35967930 is 3 + 5 + 9 + 6 + 7 + 9 + 3 + 0 = 42, and 35967930 − 42 = 35967888. The digital root of 35967888 is 3 + 5 + 9 + 6 + 7 + 8 + 8 + 8 = 54, 5 + 4 = 9.

Fascinating is it not?
Also the method of casting out the nines is used to check calculations done manually
Casting out the nines
Why use nines?

Ok enough of the number crunching for now, lets sit back, and let a magical maths guy do it for us…

For those that can’t view the vid, it is essentially summarizing what I’ve detailed above. In an arguably more interesting way might I add

Here’s a vid on how the number 9 shows up in geometric patterns, it’s really fascinating how all the angles are multiples of nine.

And also I find this one very interesting

This is about the Fibonacci sequence and its relation to music, the point being there are 5 black keys and 8 white keys and 13 keys in total to make the octave, after 12 semi tones the sequence/pattern begins again only an octave higher or lower. OK that’s interesting but 9 isn’t in the Fibonacci sequence, or is it?
144 is the 12th number in the Fibonacci sequence and is the first instance where the digital root makes 9. If we break down Phi into intervals of 12 and have the 13th number(the octave) begin the sequence again below the previous set and add the digital roots together we get 9 every time.

1—-2—-3—-4—-5—–6——7—–8——9——-10—–11—–12—— Numerical order
1—-1—-2—-3—-5—–8——13—-21—-34——55—–89—–144—– Fibonacci sequence
1—-1—-2—-3—-5—–8——4—–3——7——-1——-8——-9——-Digital root

233-377-610-987-1597-2584-4181-6765-10946-17711-28657-46368—-Fibonacci sequence
8—-8—-7—-6—-4—–1——5—–6——2——-8——-1——-9——-Digital root
9—-9—-9—-9—-9—–9——9—–9——9——-9——-9——-9——-Sum of digital roots

This is just the beginning section of the Fibonacci sequence but the pattern repeats itself into infinity!
Just remember to start at the beginning after every 12 steps in the sequence. For example the next number the 25th in the sequence is 75025 its digital root is 1 and its corresponding number twelve steps below it is 233, its root is 8. Again adding the digital roots together we get 9.

Sorry about the poor formatting I’m afraid I can’t get the sequence to line up right and I’m unable to embed images. I have however, managed to find the video explaining this with a chart that is much easier on the eye! it’s covered at 19.32 minutes into the video.

For me this goes beyond coincidence and I don’t see how it could be related to or anything else like that. My jaw was on the floor when I first learnt this!

OK well I think that’s enough information for one post, next I will be looking at the number 9 and what it meant to the ancients.


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