# kaprekar's constant calculator

kaprekar,constant,algorithm,routine,495,6174,digit,number,sort,order,sequence, Source : https://www.dcode.fr/kaprekar-algorithm. dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!A suggestion ? Kaprekar then forms a new number $N$ such that $N_2-N_1 = N$ and repeats the process until arriving at a previously found number. CNN, MSNBC, Fox News Radio, ESPN, BBC, NPR. Also, if we divide 6174 with the sum of its digits, 61746+1+7+4=343.\frac{6174}{6+1+7+4}=343.6+1+7+46174​=343. an idea ? Pastoral, English music with a tale to tell. We use cookies to ensure you have the best browsing experience on our website. The proof: here (link). We’re currently adding new content! a feedback ? https://en.wikipedia.org/wiki/6174_(number). First choose a four digit number where the digits are not all the same (that is not 1111, 2222,…). acknowledge that you have read and understood our, GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Check the divisibility of Hexadecimal numbers, Count numbers less than N containing digits from the given set : Digit DP, Count of integers of length N and value less than K such that they contain digits only from the given set, Rearrange an array so that arr[i] becomes arr[arr[i]] with O(1) extra space, Rearrange an array such that ‘arr[j]’ becomes ‘i’ if ‘arr[i]’ is ‘j’ | Set 1, Rearrange an array in maximum minimum form | Set 1, Rearrange an array in maximum minimum form | Set 2 (O(1) extra space), Find number of pairs (x, y) in an array such that x^y > y^x, Count smaller elements on right side using Set in C++ STL, Count smaller elements on right side and greater elements on left side using Binary Index Tree, Count inversions in an array | Set 3 (Using BIT), Count Inversions in an array | Set 1 (Using Merge Sort), Fibonacci Heap – Deletion, Extract min and Decrease key, Write a program to print all permutations of a given string, Set in C++ Standard Template Library (STL), https://en.wikipedia.org/wiki/6174_(number), Find Index of given fibonacci number in constant time, Percentage increase in the cylinder if the height is increased by given percentage but radius remains constant, Maximize the first element of the array such that average remains constant, Minimum removals required such that sum of remaining array modulo M is X, Count composite fibonacci numbers from given array, Minimum jumps required to make a group of persons sit together, Sum of all possible triplet products from given ranges, Count decrements to nearest smaller element required to make all array elements equal, Possible arrangement of persons waiting to sit in a hall, Count pairs whose product contains single distinct prime factor, Find a pair with sum N having minimum absolute difference, Find an integral solution of the non-linear equation 2, Bakhshali Approximation for computing square roots, Program to find GCD or HCF of two numbers, Efficient program to print all prime factors of a given number, Modulo Operator (%) in C/C++ with Examples, Write a program to reverse digits of a number, Euclidean algorithms (Basic and Extended), Write Interview On Qalaxia: Qalaxia will be ready for use in April 2017. A set of questions to assess student understanding. Forgot password? 7777). The Kaprekar routine from a number $N$ consists of creating 2 other numbers $N_1$ and $N_2$ by arranging the digits of $N$ through sorting by ascending order to $N_1$ and decreasing for $N_2$. Continuing with this process of forming and subtracting, we will always arrive at the number 6174. For a brief, educational introduction to finance and the time value of money, please visit our Finance Calculator. Students can get for help for answering homework questions. Sort four digits in ascending order and store result in a number “asc”. In J: kapr=: (\:~ -&". The value 6174 is sometimes known as Kaprekar's constant (Deutsch and ...For more information, see Kaprekar Routine -- from Wolfram MathWorld Signing up means you are OK with Qalaxia's Terms of Service and Privacy Policy. This number is special as we always get this number when following steps are followed for any four digit number such that all digits of number are not same, i.e., all four digit numbers excluding (0000, 1111, …) A set of questions to help students learn. Please use ide.geeksforgeeks.org, generate link and share the link here. This article is contributed by Gaurav Saxena. 2) Arrange the digits in ascending and then in descending order to get two four-digit numbers, adding leading zeros if necessary. A set of questions with explanations that students can revisit multiple times for review. This is also possible for three-digit numbers (giving 495), and for 5 digit numbers we find repeating patterns instead of a single convergent integer value. (I would prefer to avoid hard-coding 9998altogether, though. Matrix Calculator. Then rearrange the digits to get the largest and smallest numbers these digits can make. Log in. NPV is a common metric used in financial analysis and accounting; examples include the calculation of capital expenditure or depreciation. The inclusion of the word 'net' denotes the combination of positive and negative values for a figure. 6642-2466&=4176\\ Kaprekar was an Indian mathematician who came up with this beautiful result from number theory in 1946. This question has been asked before and already has an answer. 7641-1467&=6174. PV (along with FV, I/Y, N, and PMT) is an important element in the time value of money, which forms the backbone of finance. See your article appearing on the GeeksforGeeks main page and help other Geeks. AI and expert-driven teaching assistant in every classroom, An amazing teacher by every student’s side whenever needed. By using our site, you When one of these numbers is reached, either it remains constant or it follows the cycle by looping to infinity. Subtract number larger number from smaller number, i.e., abs(asc – desc). In 1949 the mathematician D. R. Kaprekar from Devlali, India, devised a process now known as Kaprekar’s operation. Kaprekar constant, or 6174, is a constant that arises when we take a 4-digit integer, form the largest and smallest numbers from its digits, and then subtract these two numbers. Listen to free internet radio, sports, music, news, talk and podcasts. Tool using the Kaprekar algorithm. Arrange the digits in descending and then in ascending order to get two four-digit numbers, adding leading zeros if necessary. 7443-3447&=3996\\ Other constants exist for digits other than 4. i was trying to do the whole thing in map(), reduce(), and filter() ... but I got lazy. A reasonable person would find this content inappropriate for respectful discourse. (Leading zeros are allowed.) The most number of steps possible is 7 (e.g. Attention reader! … Finally, subtract the smallest number from the largest to get a new number, and carry on repeating the operation for each new number. Share your knowledge or write an opinion piece. Experience. The U.S. Labor Department's Bureau of Labor Statistics will release the Consumer Price Index (CPI) with inflation data for October on November 12, 2020. Continue with the process of rearranging and subtracting: 8640−0468=81728721−1278=74437443−3447=39969963−3699=62646642−2466=41767641−1467=6174.\begin{aligned} \end{aligned}8640−04688721−12787443−34479963−36996642−24667641−1467​=8172=7443=3996=6264=4176=6174.​. Example: $N = 7533$, $N_1 = 3357$, $N_2 = 7533$, replace $N$ with $7533 - 3357 = 4176$ $N = 4176$, $N_1 = 1467$, $N_2 = 7641$ then replace $N$ with $7641 - 1467 = 6174$ $N = 6174$, $N_1 = 1467$, $N_2 = 7641$ replace $N$ with $7641 - 1467 = 6174$, which creates an infinite loop on the constant 6174, which is the Kaprekar constant for 4 digits. Except explicit open source licence (indicated CC / Creative Commons / free), any algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (PHP, Java, C#, Python, Javascript, Matlab, etc.) There can be no such things as mortgages, auto loans, or credit cards without PV. Write to dCode! Learn how this calculator works.The US Inflation Calculator uses the latest US government CPI data published on October 13, 2020 to adjust for inflation and calculate the cumulative inflation rate through September 2020. Kaprekar constant, or 6174, is a constant that arises when we take a 4-digit integer, form the largest and smallest numbers from its digits, and then subtract these two numbers. last edited {{helpRequestObj.timeTextDisplay}}. students could build up some form of overview of what happens for a series of 4 digit numbers (this diagram is a subset of the options) there is a fuller picture on Wiki it should take at most 7 iterations (steps) to arrive at Kaprekar's 4-digit constant: 6174 (or 7641 etc) PV is defined as the value in the present of a sum of money, in contrast to a different value it will have in the future due to it being invested and compound at a certain rate. Log in here. Loops are repetition of values or constants that appears in the algorithm depending on the size of the number $N$. It is important to make the distinction between PV and NPV; while the former is usually associated with learning broad financial concepts and financial calculators, the later generally has more practical uses in everyday life. Solve. Similar to flash cards. 93 talking about this. Please, check our community Discord for help requests! Following is the program to demonstrate the same. New user? Repeat above three steps until the result of subtraction doesn’t become equal to the previous number. Take any four-digit number, using at least two different digits. 6174 is known as Kaprekar's constant after the Indian mathematician D. R. Kaprekar.This number is notable for the following rule: Take any four-digit number, … Sort four digits in descending order and store result in a number “desc”. https://brilliant.org/wiki/kaprekars-constant/. code, Reference: Experts love Qalaxia as they get to help students at their leisure and convenience, by answering and asking questions. Write a recursive function that will return the number of times it will take to get from a number to 6174. /:~)@": ^: a: kapr 8345 8345 5085 7992 7173 6354 3087 8352 6174 Other constants exist for digits other than 4. See below.) The difference between the two is that while PV represents the present value of a sum of money or cash flow, NPV represents the net of all cash inflows and all cash outflows, similar to how the net income of a business after revenue and expenses, or how net benefit is found after evaluating the pros and cons to doing something. The range check if value < 1 or value > 9998 could be more Pythonically expressed as if not 1 <= value <= 9998. A popular concept in finance is the idea of net present value, more commonly known as NPV. Sign up to read all wikis and quizzes in math, science, and engineering topics. Qalaxia incentivizes and provides students with the necessary help to complete homework on time and to satisfy their curiosity. a bug ? Take a 4-digit number like 3215. What are Kaprekar constants and Kaprekar loops? Listen to Kaprekar's Constant Radio free online. Teachers love Qalaxia as it not only helps their students finish homework and satisfy their curiosity but also gives teachers full transparency into how much student effort and expert help went into every homework question. brightness_4 Type a math problem. Also explore hundreds of other calculators addressing topics … Press question mark to learn the rest of the keyboard shortcuts. Qalaxia encourages students to gain knowledge not just from teachers, but also from remote industry expert volunteers. Writing code in comment? Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.