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The number 6174

The number 6174. 6174 is known as Kaprekar's constant. This number is notable for the following property: 1. Take any four-digit number, using at least two different digits. (Leading zeros are allowed.)

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The number 6174

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  1. The number 6174 6174 is known as Kaprekar's constant. This number is notable for the following property: 1. Take any four-digit number, using at least two different digits. (Leading zeros are allowed.) 2. Arrange the digits in ascending and then in descending order to get two four-digit numbers, adding leading zeros if necessary. 3. Subtract the smaller number from the bigger number. 4. Go back to step 2 The above process will always reach 6174 in at most 7 iterations.

  2. For example, choose 3524: 1. 5432 – 2345 = 3087 2. 8730 – 0378 = 8352 8532 – 2358 = 6174 Another example: 9831 reaches 6174 after 7 iterations: 1. 9831 – 1389 = 8442 2. 8442 – 2448 = 5994 3. 9954 – 4599 = 5355 4. 5553 – 3555 = 1998 5. 9981 – 1899 = 8082 6. 8820 – 0288 = 8532 7. 8532 – 2358 = 6174 495 has the some characteristics for 3 digit numbers?

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