I showed Kaprekar's Constant (6174) to my family and they all loved it ! I have only now just learned of the 3 digit (495) constant !!! Most awesome !!!!! Thank you !!!
I tried 8966, the second step was directly the end of the Story. Other numbers ending in 9 area. I guess it's not allowed to put two equal numbers to this constante
Kaprekars constant is interesting because the sequence of numbers produced are always multiples of nine. this is an artifact of how our numeric system works - each base has its own Kaprekar numbers and they are all related to the terminating digit of that base. Why does this property hold for all bases and what is going on here? The answer can be discovered by examining the compositional nature of how we represent numbers. The Kaprekar operation treats the number as both a symbolic and a positional representation. The Kaprekar operation is a composition of two operations: 1) the square operation, which is a symbolic operation, and 2) the addition operation, which is a positional operation. In other words, the number is treated as both a string and a number in the Kaprekar operation, and because there are a set number of symbols for any given base and one of those symbols is the last symbol in the base, the Kaprekar operation will always result in numbers which feature the last symbol in the base as the last digit. Several such combinations of symbolic and positional operations are possible, and the Kaprekar operation is one of them. Another is well-known as the numerological reduction operation, which is a summation of the individual digits of a number. If you take the whole number series and arrange it in periodic groups of a size which is a multiple of the numbers of digits of the base you are working with, and you perform a numerical reduction operation on each group, you will find that the last digit of each group is the same as the last digit of the base. For example, if you take the whole number series and arrange it in groups of 10, and you perform a numerical reduction operation on eachg roup, you will find that the last digit of each group is the same as the last digit of the base. On its surface all this seems like just interesting novelty, until you realize that all of this is directly related to the nature of numbers via the prime series, whose members always and only ever occur in specific periodic groups of a size which is a multiple of the numbers of digits of the base you are working with. I could go on but I would need a whole video to touch upon it all.
If you add the numbers up you will get 9: 6 + 1 + 7 + 4 = 18 and 1 + 8 = 9. So any product of this number you produce will all add up to 9. As most people know, multiplying any number by 9 will produce a number that will always reduce to 9. No mystery here, just simple math.
The key here in all of these calculations is the number 9, the Cosmic Number. All single numbers are contained in 9, and thus all combinations of these numbers also. The sum of the digits of the number 6174 = 9. We know that if you subtract from a number the inverse, the sum of the digits of the difference will always give 9. So 75 - 57 = 18 and the sum of the digits of 18 = 9. So, that is the trick. Take any number, even if the sum of its digits is not 9, subtract its inverse and the sum of the digits of the difference is always 9. The number 495, the sum of the digits is 9.
"Cosmic number" is a bit much. What you said of the number 9 is only applicable to Base10 number systems, which is just one of many number systems that could have been adopted and may be adopted by other intelligent beings in a different spacetime. Octal, hexadecimal, to name a few. Also, don't forget numbers like Pi, Golden Ratio, Euler's identity.... each one of these have much more significance in the universe/cosmos than '9'.
There is no such ting like rest , If you take the numbers 56 plus 04 you get ten 10 15 45 the 10 divides 9 minus 1 - 4 is above 9 so its 49 and 1 thats how these Constants work- Be blessed.
Take any of those numbers and add 9 then subtract 6 and subtract the original number that you started with. Now multiply by 6. Now add the two digit number that you have. You now have the magical number of 9. So magical that the sum of the digits 6+1+7+4 and 4+9+5 will always reduce down to 9
Human beings don't just make practical things. That is what (most) animals do. When Italian geometrist Ricci deleloped differential geometry, he didn't know it would be the basis for the General Relativity of Einstein. Einstein didn't know that General Relativity would have brought us the GPS.
Similar stuff happens in other bases, for example in all even bases, there is an analogous number to 495; not all bases have a "6174", actually most of them have cycles rather than fixed points. But all those numbers always have to be multiple of b-1, in base 10 that is 9
I like to use the 6174 - if you have a row of numbers your calculater go to 8 - look what you get at 8 and the row that has a 7 in it, from there it goes in rows of four , mostly because the rest is ussually four digets, if not it would go to a row of five or three or what have you, but it will add up to eight, this is like composing a song, every word has numbers , so if you add words to that song you know what words to choose. I love the Karprekas Constants, the 695 is not so creative but give a solid base, if you find the harmonising factor its beautifull. you could off cause use it for many things not only in music. Even in drawing. Thanks for this very interesting reminder Mr Kaprekar was n Great man, be blessed.
I forgot to tell you I have had a dream of Mr Kaprkar , my husband died some months ago , he had some Indian DNA, I always get things from his "Forfathers" there must be some connection, I always dream of someone and then I find something by chance, I love maths , my husband was a Mathematician in the computer world , I am open to mystical things like a book, hugs. Mr Kaprekar explained the Constants to me..
He said any number... Exception are all I numbers same plus on top of that exception is If all numbers digits fall left or right from 5 If numbers all are even or all odd As one comment mention in I digits all example of numbers are divide by 9 In 3 digit example all numbers are divide by 3 It is same trick as how to sum up all numbers from 1 to 100 100 plus 1 is 101 101 times 50 is 5050 This what he shows is just small part where this works there is a lot of things where this doesn't work
Is there an equivalent for this using sexagesimal numbers? I'm interested in determining if there's a practical application for these constants and I believe that a more universally useful base could offer more insight.
The Kaprekar constant, 6174, is used in cryptography to generate random numbers for encryption and decryption. It can also be used to generate random prime numbers.
I showed Kaprekar's Constant (6174) to my family and they all loved it ! I have only now just learned of the 3 digit (495) constant !!!
Most awesome !!!!!
Thank you !!!
Try with 101
I tried 8966, the second step was directly the end of the Story. Other numbers ending in 9 area. I guess it's not allowed to put two equal numbers to this constante
Kaprekars constant is interesting because the sequence of numbers produced are always multiples of nine.
this is an artifact of how our numeric system works - each base has its own Kaprekar numbers and they are all
related to the terminating digit of that base.
Why does this property hold for all bases and what is going on here? The answer can be discovered by examining
the compositional nature of how we represent numbers. The Kaprekar operation treats the number as both a
symbolic and a positional representation. The Kaprekar operation is a composition of two operations:
1) the square operation, which is a symbolic operation, and 2) the addition operation, which is a positional
operation.
In other words, the number is treated as both a string and a number in the Kaprekar operation, and because there
are a set number of symbols for any given base and one of those symbols is the last symbol in the base, the
Kaprekar operation will always result in numbers which feature the last symbol in the base as the last digit.
Several such combinations of symbolic and positional operations are possible, and the Kaprekar operation is
one of them. Another is well-known as the numerological reduction operation, which is a summation of the
individual digits of a number.
If you take the whole number series and arrange it in periodic groups of a size which is a multiple of the numbers
of digits of the base you are working with, and you perform a numerical reduction operation on each group, you
will find that the last digit of each group is the same as the last digit of the base.
For example, if you take the whole number series and arrange it in groups of 10, and you perform a numerical
reduction operation on eachg roup, you will find that the last digit of each group is the same as the last digit
of the base.
On its surface all this seems like just interesting novelty, until you realize that all of this is directly
related to the nature of numbers via the prime series, whose members always and only ever occur in specific
periodic groups of a size which is a multiple of the numbers of digits of the base you are working with.
I could go on but I would need a whole video to touch upon it all.
I will work on this
is there a practical use for this ,....or just. for. fun
Best explanation on why Kaprekar's constant is what it is. Thank you!
@@AyatollahKhomeiniSalleh Inshallah my friend! Thank you!
If you add the numbers up you will get 9: 6 + 1 + 7 + 4 = 18 and 1 + 8 = 9. So any product of this number you produce will all add up to 9. As most people know, multiplying any number by 9 will produce a number that will always reduce to 9. No mystery here, just simple math.
what?
Also 6+1+7+4=18 18 ÷ by 3 is 6.
666
The key here in all of these calculations is the number 9, the Cosmic Number. All single numbers are contained in 9, and thus all combinations of these numbers also. The sum of the digits of the number 6174 = 9. We know that if you subtract from a number the inverse, the sum of the digits of the difference will always give 9. So 75 - 57 = 18 and the sum of the digits of 18 = 9. So, that is the trick. Take any number, even if the sum of its digits is not 9, subtract its inverse and the sum of the digits of the difference is always 9. The number 495, the sum of the digits is 9.
"Cosmic number" is a bit much.
What you said of the number 9 is only applicable to Base10 number systems, which is just one of many number systems that could have been adopted and may be adopted by other intelligent beings in a different spacetime. Octal, hexadecimal, to name a few.
Also, don't forget numbers like Pi, Golden Ratio, Euler's identity.... each one of these have much more significance in the universe/cosmos than '9'.
Before watching this video I know only 6174. But now got 495. Thank You sir.
I
Yes your right
Hi this video for Lottery guessing sir.
I persoally like to use the 6174 , if you have a row of numbers
Similarly, for all 2 digit numbers except for repeating numbers, the end product will be 9.
Example: 37
73 - 37 = 36
63-36 = 27
72 -27 = 45
54-45 = 9
&
14
41- 14= 27
72-27= 45
54-45= 9
&
87
87-78=9
&
97
97-79=18
81-18 = 63
63-36 = 27
72-27= 45
54-45 = 9
There is no such ting like rest , If you take the numbers 56 plus 04 you get ten 10 15 45 the 10 divides 9 minus 1 - 4 is above 9 so its 49 and 1 thats how these Constants work- Be blessed.
Take any of those numbers and add 9 then subtract 6 and subtract the original number that you started with. Now multiply by 6. Now add the two digit number that you have. You now have the magical number of 9. So magical that the sum of the digits 6+1+7+4 and 4+9+5 will always reduce down to 9
Hello good afternoon sir watching from the Philippines.
Thanks for watching....😊🙏👍
@@NextGenMaths 🙏💕💕
I have watched so many but this video very nice thank you very much sir that your keeping this video 👌👌👏😊
What’s the practical
Application of this in our daily life?
Human beings don't just make practical things. That is what (most) animals do. When Italian geometrist Ricci deleloped differential geometry, he didn't know it would be the basis for the General Relativity of Einstein. Einstein didn't know that General Relativity would have brought us the GPS.
Also if you add the numbers they both have a sum of 18 which then adds to 9.
6+1+7+4=18 1+8=9
4+9+5=18 1+8=9
9 is a mysterious number.
FB
Tesla told us about the divine code 369
Similar stuff happens in other bases, for example in all even bases, there is an analogous number to 495; not all bases have a "6174", actually most of them have cycles rather than fixed points. But all those numbers always have to be multiple of b-1, in base 10 that is 9
Thanks sir, your learning technique is high
It was very helpful thanks sir
I like to use the 6174 - if you have a row of numbers your calculater go to 8 - look what you get at 8 and the row that has a 7 in it, from there it goes in rows of four , mostly because the rest is ussually four digets, if not it would go to a row of five or three or what have you, but it will add up to eight, this is like composing a song, every word has numbers , so if you add words to that song you know what words to choose. I love the Karprekas Constants, the 695 is not so creative but give a solid base, if you find the harmonising factor its beautifull. you could off cause use it for many things not only in music. Even in drawing. Thanks for this very interesting reminder Mr Kaprekar was n Great man, be blessed.
I forgot to tell you I have had a dream of Mr Kaprkar , my husband died some months ago , he had some Indian DNA, I always get things from his "Forfathers" there must be some connection, I always dream of someone and then I find something by chance, I love maths , my husband was a Mathematician in the computer world , I am open to mystical things like a book, hugs. Mr Kaprekar explained the Constants to me..
He said any number...
Exception are all I numbers same plus on top of that exception is
If all numbers digits fall left or right from 5
If numbers all are even or all odd
As one comment mention in I digits all example of numbers are divide by 9
In 3 digit example all numbers are divide by 3
It is same trick as how to sum up all numbers from 1 to 100
100 plus 1 is 101
101 times 50 is 5050
This what he shows is just small part where this works there is a lot of things where this doesn't work
Thanks Bass Good morning super
Wonderful sir
it looks like that constant exists also for 1-digit numbers (it's 0) and for 2-digit numbers (9)
Is there an equivalent for this using sexagesimal numbers?
I'm interested in determining if there's a practical application for these constants and I believe that a more universally useful base could offer more insight.
Yes there is, it would always be related to the terminating digit of any base
Thanks a lot. We had mystery in maths competition in our school and did this.
Muchas bendiciones para usted y sus familia bendiciones de lo alto
Is there anything like this for other number system besides base 10 numbers?
Thanks
Love the vid myshoelicker
Remember, 7 is not just a magic cycle. After all, you can only fold a piece of paper upto 7 times
Sir is there any evidence of anybody knowing this number before kaprekar ji
Sir how we no that we have to take this number only can we take any other sir then also this number only will come
How does this work?? Pls someone help me😭
The number that can be read backwards the same way is called palondrome: 11, 202, 979; 7777 1221 3883, etc
How is that related
Nice
Has anyone mentioned the number 9?
Excellent
சூப்பர் வாழ்த்துக்கள் நன்றி
Might anyone know of a seven digit number or looping pattern of numbers that meets the same criteria?
Don't get single number
Sir can I get 3 digit same and 1 different
Yes
🙏🙏🙏🙏🙏🙏🙏
How did he figure this out??? And I wonder why.
Sir can i get 3 digit same and 1 is different
Means like 9991
@@NextGenMaths yes
@@NextGenMaths yes sir reply do
9991
7992
7173
6354
3087
8352
6174
Series of conversion
@@NextGenMaths sir 2221 ka krele dikhau
Bhai ek bar loss kawar kara do bhai
How is it useful in any field of maths or science etc.
Hi we look for again and again same universe.
On TV was program how counting Australians aborigines:
ONE, TWO, a lot...😂
Can u solve 8159???
Just cntinue the work until the 5th rounds you will get it by yourself.
I tried a number that results in a constant loop! 3967. Try it!!
Around 9 th iteration you l get to 6174
This nambur today?
Bisakah untuk rumus togel sdy
Kaprekar JEE ADVANCED Rank 6174😂😂😂
1705
2221 ka nhi hota sir krele dekho solve kiya he maine 🤓 reply do sir
Ascending. बढना
Descending घटना
Tak sampai otak ku😂😂😂
👏👏
Visit our website
sites.google.com/view/nextgenmaths/math-for-everyone
@@NextGenMaths Disawar Satta King
I think 6669 is the sum total between the two.
Can you prove this with 5697 ?
It requires eight steps !
It requires eight steps
Kal kya aayega bhai
Does this have a purpose?
The Kaprekar constant, 6174, is used in cryptography to generate random numbers for encryption and decryption. It can also be used to generate random prime numbers.
🙏🙏🙏🙏🙏🙏🙏🙏😭😭😭😭
GD Lottooo?
Single number ke liye WhatsApp per contact Karo 🙏🙏🙏🙏🙏👍👍👍👍👍👍👍. Ok
Single number ke liye WhatsApp per contact Karo ❤️❤️❤️❤️🙏🙏🙏🙏👍👍👍👍👍. Ok
2221 ka nhi hota sir 3 ghante lage solve krne ke liye muje
3564 how to?
Hi👌👌👍👍
9
हेलो भाई
9911 how it will make 6174
why does this happen though?
That’s what I been wondering. Cuz it works for any number I thought of but the reason why it works is still crazy
That's called mystery in maths
Sure my namdr 549
Number toto result posibble
Hii
822
3401
berapa angka jadi nya skrng bos 4 d nya 4:13
2001
?
2001 ko 6174 le aao
Buah besok pagi apa
Shhh
हा ये दोस्ती हम गरीब हे
9 . '.
I want thai
Bhai me loss me hu bhai
Inshallah aayga 52/54
Pl
Plz nambar sr sand
Hindi mein banakar video milega
who cares
Hindi mein banakar bhejiye na
I will try
No