Autisme. Habitation. Idée recup. Meubles & décorations. Idée recup. La Nouvelle Vague. Nl facile. Histoire Mondiale. How to turn "water" into marbles. 6174 (number) 6174 is known as Kaprekar's constant[1][2][3] after the Indian mathematician D. R. Kaprekar. This number is notable for the following property: Take any four-digit number, using at least two different digits. (Leading zeros are allowed.)Arrange the digits in ascending and then in descending order to get two four-digit numbers, adding leading zeros if necessary.Subtract the smaller number from the bigger number.Go back to step 2. 9990 – 0999 = 8991 (rather than 999 – 999 = 0) 9831 reaches 6174 after 7 iterations: 8820 – 0288 = 8532 (rather than 882 – 288 = 594) 8774, 8477, 8747, 7748, 7487, 7847, 7784, 4877, 4787, and 4778 reach 6174 after 4 iterations: Note that in each iteration of Kaprekar's routine, the two numbers being subtracted one from the other have the same digit sum and hence the same remainder modulo 9.
Sequence of Kaprekar transformations ending in 6174 Sequence of three digit Kaprekar transformations ending in 495 Kaprekar number Bowley, Rover. "6174 is Kaprekar's Constant". Unsolved Problems.
Artsetmetiers. Stop motion. Artistes contemporains. La collection du musée virtuel Frédéric Back - Frédéric Back, agir ensemble. Vous aurez besoin du plugiciel Flash qui vous permettra de voir les vidéos et agrandir les oeuvres. Cliquez ici pour le télécharger. Copyright © Frédéric Back, Tous droits réservés, 2010 Dernière mise à jour : 2010-10-15 | Conditions d’utilisation.