Abstract: World Journal of Applied Mathematics and Statistics

Abstract:
The Kakutani Conjecture is about performing iterative operations on a number: dividing it by 2 if it is an even number, and multiplying it by 3 and adding 1 if it is an odd number. Will it eventually reach 1? Through the equal quantity transformation 10 = O, taking the logarithm lg, then 1 = does not exist. In this proof, a number is written in binary form and then folded in half. By analyzing the structure of the number in the form of 0 and 1 combined with the Zhouyi Bagua (Eight Diagrams), it is concluded that the Kakutani rule is a Mobius strip.