did you know about "Intuitive Collatz"

in #mathimatic5 years ago

Intuitive Collatz
Is an intuition in mathematics so named for the ratio of Lothar Collatz, which was put forward in 1937 and this intuition, especially the natural numbers, which are non-destructive, as follows:

  • If the number is a couple we divide it by 2
  • If the number is odd we hit it at 3 and add 1

If we repeat the process several times we will always get to 1, whatever the starting number, for example if the value of the first number is 6, we will get 1,2,4,8,16,5,10,3,6, but if the first number is 11, we will get 1, 2,4,8,16,5,10,20,40,13,26,52,17,34,11, but for n = 27 the cascade reaches 1 after 111 step up to 9232 before descending to 1, In the picture below, a representation of Ksriya Collatz in the vicinity of the straight real numbers, and this intuition has not been proven correct or wrong so far is an issue understood by a small child and unable a great prof to prove

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