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POV: you're messing with your calculator during math class

another interesting fact about 108 is that the numbers from lost (4, 8, 15, 16, 23, 42) add up to 108, which also happens to me the amount of time on the clock in the hatch controlling the electromagnetic bomb

343 is my favorite number. Back in high school I memorized all of the cubes of the numbers 1-10 for the heck of it, and for some reason the fact that 7 cubed was such a beautiful looking number stuck with me. Especially since I've always kind of hated multiples of 7 because there's no easy trick to identify if a number is divisible by 7 without just checking, unlike other single digit numbers which all have at least something that would give you an idea if they could possibly divide evenly into a number.

Oh, and also: 13^2=169 and 31^2=961. 144 and 1444 are perfect squares, as are 576 and 5776. Thanks for explaining these numbers - I'm a mathlete, so that 142857 rang a bell.

It hurts that I had to discover this for myself this year but I just had to share it... The number 2021 is the product of two consecutive prime numbers (43*47). The last year whose number had this property was 1763 (41*43) and the next will be 2491 (47*53). On that note, here's a friendly reminder that this year, we're just as far from 2017 as we are close to 2027, which also happen to be the two closest prime numbers to 2022. So I guess this year isn't all that boring!

Fun Fact: The first number with no a single interesting property is (actually I forgot the number), but since it is the first number with no interesting property, that is a interesting property by itself.

As soon as 142857 popped up, I thought, "Hey look! It looks like 1/7!" Also, for 6174, you said that should work with any four-digit number without repeating decimals, but it did not work for the first two. Under what conditions, then, does it work?

Who else discovered the 142857 themselves. You just have to play with the number 7 for some time to notice this.

I love how the eight is styled at 5:28 so it isn't horizontaly symmetrical

2:55 Something else I noticed: 7 × 2 = 14 7 × 4 = 28 (7 × 8) + 1 = 57 1/7 = 0.142857 (it repeats) And here is 142857.

Nice video! A lot of these interesting numbers poped up in Project Euler problems (e.g. cyclic numbers)

I am being haunted by the number 225. Back when I learned programming in C in university (where you can't normally use characters that aren't part of the ascii table), I made a list with the code for some characters I might want to use more often. Like the german ß (an alternative for "ss"), because my name contains it. Guess what number I remembered? Right it's 225. That's when it all began. Now I see it everywhere. in calculations, because 1.5² equals 2.25, in trigonomitry, because 5/4 of pi is 225°, while 1/8th of pi is 22.5°, I frequently look at random clocks, only to find out it's 2:25, 12:25, or any of the 22:50s. Almost every time a timer runs down somewhere in my line of sight, you can bet I randomly look at it, exactly when there are 2 minutes and 25 seconds left. The list goes on. I'm telling you, this number pops up everywhere!

Best numerical educational video ever! Great job breaking it down

You forgot most of the properties of 142857. Split it in two, and sum the parts: 142 + 857 = 999 Split it in three, and sum the parts: 14 + 28 + 57 = 99 Square it, split it in two and sum the parts: 142857² = 20408122449, and 20408 + 122449 = 142857 How to easily remember this number? It's simply the decimal part of 1 / 7 (which is why 142857 * 7 = 999999).

This video is SO satisfying. Thank you very much.

I've never watched a math video in my entire life on youtube, yet this has been stuck in my recommended for 1 week, finally clicked on it and wasn't dissapointed!

5:50 "Except for 998" I think that's because the number 998,001 already has a 998 in it.

for the 142857 thing i discovered this a few months ago when working with x/7 fractions a bunch, its really cool. also x/13 has two different sets of numbers that are used in the decimals (076923 and 384615). therefore I'm pretty sure that 076923 is the smallest (whatever that word is at 2:52) number

I’ve never been interested in numbers facts, but this is fun, You just got a new subscriber! 😊

2:15 It's like I'm listening to Sheldon talking

I saw the 142857 when I was 5 in the first math book my parents gave me. The book had a calculated attached to it, so kids could play with math and numbers and get hooked. Needless to say I got hooked and needed up taking a master in applied math 20 years later. Just finding the book now and are trying to show it to my 5 year old son.

Very interesting! Math is cool, so much deeper than you first think!

2:55 1/7 = 0.142857, cool, isn't it?

Does cool stuff like this also show up in other counting styles? (Like in duodecimal?)

Great video as always, keep it up!

My personal favorite number is 729 bc it’s 3^6 and when you make it 1/729 it will gives you the longest (in length) number I could find (only in some calculators are possible) and 1/729 is cyclic infinite number (which means that the number you’ll get from school’s calculator is 0.(00137.....)

Thank you... I just love numbers! Subscribed!

1:18 sir i figured this out you could do this with repeated digits as well. Take for example 3996. I was able to do. But yeah this is the most mind-blowing math trick i have ever seen! 1:40 really proud of Mr. Ramanujan ❤️

6:40 e^(i*tau) = 1 is EVEN MORE beautiful. No need to fudge the equation.

I've kinda known that smallest cyclic number since HS. Those are the digits of the repeating decimal(s) of sevenths- 1/7= 0.142857, 2/7= 0.285714, etc. Also adding cubes of the digits of multiples of 3, leading eventually to 153, I've encountered before. Now I can't recall if that is invariably true. I vaguely remember some infrequent solutions involving pairs of 3 digit numbers that oscillated, e.g. 261162.

142857 is a series like 14, 28, 57. 14 * 2 = 28, 28 * 2 is really close to 57, 56 actually. The reason why this number is cool and cyclic is because it comes from (1 / 7 )* 10 ^ 5 (truncated at the end, it repeats indefinitely) When you do 2 / 7, or 3/7 so on so forth, because 7 is prime and it uses 6 individual digits, it makes a repeating pattern because there is nothing else it could be.

Kaprekars constant actually works with a lot of numbers that have repeating digits, just not all

2:03 everyone knows this already from the big bang theory

3:02 if you divide anything by 7, you always get those numbers (in any order) infinitely in the decimals (unless there are no decimals)

Also don't forget on 4:22 that the angle between the center of a tetrahedron and two corners is about 108 degrees as well. The angle comes up a ton in chemistry because most carbon atoms are bonded to 4 other atoms in a tetrahedron.

Thank you very interesting

142857 was due to the fact that 1/7 is equal to 0.142857 and when multiplied, it rearranges accordingly (a property of that fraction).

2:22 in the 73 if yo take the 7 multiplied by 3, that 7x3=21

I love how you had to specify the space was Euclidean

So far, this is my favorite video of yours

at 1:17 3087 is 1/2 of 6174, which is also interesting

These all feel like creepypastas or something where they _mysteriously fit into place and are too perfect to be a coincidence_

So you do Number Theory? Im curious where at...I did Repr Theory, Group, Rings, with a big interest in Hyperbolic Geom. A lifetime ago...

153 is also the minimum rectilinear crossing number for 12 points.

Hi sir, really amazing video. Make much more on numbers.👏🙏👍 Another very interesting no is 2022 which is this yr. 1) It's digital root 6 is a "perfect number"(a no whose sum of digits= sum of its all divisors) 2) 2022= 1²+2²+9²+44² 3) It's a very special no as 2+0+2+2=6. According to vortex mathematics 6 is an another lvl no with very special meaning. 4) In this property I use some arrangements of the digits of 2022. 2²+6²+22²+262² = 2×6×22×262 = 69168 (so 69168 also a special no whr the sum of square of 4 nos=product of that nos) 5) 2022= 2¹+2²+2⁵+2⁶+2⁷+2⁸+2⁹+2¹⁰ 6) This yr starts & ends on Saturdays.

Depending on the font, 108 also has vertical symmetry on each individual digit

I know most of these are just coincidences and a result of the base-10 number system, but it feels magical

153 is also a minimal length of a superpermutation of 5 district elements

It might not be that interesting, but my favorite number has always been 28. All it's factors add up to itself. Pretty simple, and it's a pretty small number, which makes it even more memorable for me.

there's also 8833, which is equal to 88^2+33^2, yet compare to these featured in vid, that one's like a drop in the ocean

good one!!!! really impressed!!! numbers are amazing......🧠❤

0:45 Not just the largest known, but the largest (in base 10)

Optimus Prime: I'm everywhere.

5:10 Ah yes, a rectangular pentagon.

3:27 142857 is the repeating number in the decimal representation of 1/7 this is why when you multiply it by 7 it is so close to 1000000. (You can prove it with arithmetic)

Most of these are just random coincidences that are dependent on our base 10 numeric system and our scientific standards (e.g. 360° being a whole circle). Also phi comes up because it's the ratio of one the diagonals and one side of an regular pentagon. You can show this using Ptolemy's theorem. Numberphile has a video on this.

Also, you said 73 is a interesting number because of its mirroring and 73 mirror is 37, 37 is the 12th prime number right, now get this, 12's mirror is 21 and 21 is wait for it, a product of 7 and 3

2:30: 35+34=69

5:48 Since that one is true and which I never heard about, the original form is -1+1=0.

This video is going to be a hit, I can tell.

3:20 if you add the first 3 and the second 3 digits, you get 999

127 is a Mersenne prime, its exponent (its binary length) is 7 which ALSO is a Mersenne prime, yet again its binary size is 3 another Mersenne prime. This means it's a triple _recursive_ Mersenne number, and a triple Mersenne prime. However I'm kinda cheating, because for a Mersenne number to possibly be prime, its exponent MUST be prime, so all those exponents being prime is a requirement. I don't know if 2^127 - 1 is prime, I'll ask WolframAlpha. *EDIT:* I asked Google and YES IT IS! 2^127 - 1 is prime! It's the only known quadruple M-prime. The next number to check would be 2^(2^127 - 1) - 1, but that's SO LARGE that a 128bit computer would be neccessary to hold it in memory, we can solve this problem by simply using a big hard disk drive as auxiliary memory, but even the optimized Lucas-Lehmer primality test would take MILLENNIA to give an answer (I'm not exaggerating)

I JUST LOVE YOUR VIDEOS, they always blow up my mind. And btw I have already subbed to your channel :)

Thinking that there are infinite numbers and operations one can do with them, the probability of having lots of numbers wich have "coincidences" or hidden connections with other numbers or operations is as it is, one hundred %

This is the best video I have ever seen.

3×7×37=777 I discovered that when I was in elementary school and it is still to this day one of my favorite numbers.

I like your funny words maths man!

This is the best video ever about fantastic numbers

my favorite number is 1/81 (try it you’ll understand)

That cyclic number has another interesting property. 142857 285714 428571 571428 714285 857142 Look at the numbers in the columns, reading downward. They form the same pattern.

0:50 495 is special its because the infinite loop of the an 3 digit number when picked any number to biggest to smallest minus smal,est to biggest

3:10 we get 142857 when we divide 22 by 7 which is an approximation of pi 22/7= 3.*142857*

2:59 Isn't this also equal to repeating numbers of 1/7

5040 Is an interesting number it's the largest factorial that is also a highly composite number +it's the sum of 42 cosecutive primes (23+...+229)

Kaprekar's constant doesn't work with any number that starts with the greatest digit already (e.g. 4321-4123=198)

my new equation, courtesy of your video: i hate numbers + i love this channel and it’s content = i love numbers thanks for this!

Logan paul's favorite number...

0:25 you can hear the happines in his voice

10& is my favorite number now, and don’t ask why my eight is in that way, they just woke up one day like that and ig I have to live with it now

73=1001001 base 2. But if we successively consume rightmost binary zeros, 100101 = 37, 10011 = 19, 1011 = 11 and 111 = 7. If we now consume the 1's: 11 = 3 and finally 1.

3:32 wouldn't that. Be zero

0:01 Wait... You like primes?

I never thought I’d be watching a math video,but here I am

The example with 73 shows us how you can find very cool properties with any number

If you take any number and multiply it by nine, and you add up the digits over and over again, they will eventually go back to nine

998,001 also happens to be 999*999

Someone needs to make a PowerPoint presentation on these numbers.

Mine is 69 👀

can you do mars's rotation around the sun please

12 is my favorite number. Its the total of bones in each of your fingers, thus in old languages like Biblical Hebrew, its considered an equal number like how 10 is in modern English.

108 is one of my favourite numbers thanks to jiraiya sensei

Never heard about it on math lessons

5:26 There are now 112 cards in an Uno deck - the customizable wild cards are a thing.

wonderful numbers ❤

the second i saw the thumbnail i KNEW adding one would be cursed af

I like 32768 (2^15) because it is the amount of possible 16 bit numbers

Finally, an interesting math video!

Interesting video.... But the way you said ramanujan is hilarious

If you take the number 12345679,(which you get from dividing 1000000 by 3 a few times) and pick a random number, multiply 12345679 by that number, then multiply by 9, it’s that number that you picked a bunch of times.