Kaprekar's Constant trivia
Kaprekar's Constant Mini Quiz
Test your knowledge with these top questions!
Because it inevitably pulls all valid numbers to itself, Kaprekar's constant resembles what cosmic phenomenon?
In mathematics, the number 6174 is known as a fixed point attractor because every valid four-digit sequence is inevitably drawn to it.
Applying Kaprekar's math routine to Kaprekar's constant itself produces what final result?
Arranging the digits of 6174 from highest to lowest gives 7641, and subtracting the lowest arrangement, 1467, simply yields 6174 again.
Kaprekar's routine sorts a number's digits into highest and lowest values to perform what action?
Subtracting the ascending arrangement of digits from the descending arrangement will always reach the constant 6174 in seven or fewer steps.
To reach Kaprekar's constant, a starting four-digit number must meet what strict requirement?
If a number consists of four identical digits, like 2222, subtracting the values will result in zero rather than reaching the constant.