Problem 68. Kaprekar Steps

6174 is the Kaprekar constant. All natural numbers less than 10,000 (except some with same digits) can be reduced to 6174 in the following steps:
Order the digits of the number in descending and ascending order and compute the difference. Repeat the process till you get 6174.
Example
n = 2376
Digits in descending order = 7632
Digits in ascending order = 2367
Step1:
>> 7632 - 2367
ans = 5265
Step 2:
>> 6552 - 2556
ans = 3996
Step3:
>> 9963 - 3699
ans = 6264
Step4
>> 6642 - 2466
ans = 4176
Step5
>> 7641 - 1467
ans = 6174
Total number of steps = 5.
Your function should return the number of Kaprekar steps for a given input. Numbers such as 2222 will end in zero. These numbers will never result in 6174. They should return Inf.

Solution Stats

50.19% Correct | 49.81% Incorrect
Last Solution submitted on Apr 11, 2024

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers2169

Suggested Problems

More from this Author96

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!