Monday, July 4

The Mysterious Number 6174, Kaprekar’s Constant

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The Christmas Lottery gives rise to numerous musings when deciding on a number with which to seek a stroke of luck. There are those who directly leave their choice to chance, others more superstitious who are guided by some type of numerical pattern or who directly make their tenth coincide with a certain date, but there are also certain tickets that are determined by some curiosity.

This is the case with the number 6174 (06174 in the tenth), known as the constant of Kaprekar in honor of the Indian mathematician Dattatreya Ramachandra Kaprekar, who presented it at the Madras Mathematics Conference in 1949. A recreational expert in this discipline, he also deciphered other number riddles.

At this point, the following question must be resolved: why is 6174 considered the most mysterious number in the world? Well, simply because you can do magic by following a series of steps, the result will always end up being 6174 after performing a series of subtractions.

We choose a 4-digit number that is made up of at least two digits that are not similar. In this case we choose 1547. We order the figures in descending order: 7541. Now backwards: 1457. And we subtract the smallest from the largest: 7541 – 1457: 6084.

Now is the time to repeat the three steps with the resulting figure. We sort in ascending order: 0468. Now backwards: 8640. And we perform the subtraction operation: 8640 – 0468: 8172. And it is repeated again: 8721 – 1278 = 7443. And we return to the same thing repeatedly:

7443 – 3447 = 3396

9633 – 3369 = 6264

6642 – 2466 = 4176

7441 – 1447 = 5994

9954 – 4599 = 5355

5553 – 3555 = 1998

9981 – 1899 = 8082

8820 – 0288 = 8.532

8532 – 2358 = 6174

Where to find this number

This mysterious number of the Christmas Lottery is distributed by different locations in various Spanish provinces, although it can always be purchased online:

– CARMEN, 22, MADRID

– RAMON Y CAJAL, 33, TORRENT, VALENCIA,

– HACIENDA DE PAVONES, 204, MADRID

– JUAN GINER, 16, MORELLA, CASTELLON

– GABRIEL CAÑADAS, 17, SAN PEDRO DEL PINATAR, MURCIA

– LOPE DE VEGA, 7, HERENCIA, CIUDAD REAL

– MORAGAS I BARRET, 54, PINEDA DE MAR, BARCELONA

– SAN JORGE, 43, ANDORRA, TERUEL

– INFANTA M. TERESA, 18, MADRID

– PLAZA MAYOR, 8, PORZUNA, CIUDAD REAL

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