Lothar Collatz conjecture theorem
Lothar Collatz conjecture theorem
While reading about Paul Erdos in all book "Math Makers", i read about this interesting fact.
f(x) = 3x + 1, if x is odd,
= x /2, if x is even
Let's start with x is 6
f(x) = 6/2 =3 ,
now 3 is odd, so f(x) = 3*3 + 1 = 10,
and then f(x) = 5;
And then f(x) = 16,
And f(x) = 8
And f(x) =4
And f(x) =2
And f(x) = 1
So this sequence always says that it will always have 1 in the end.
This works for any whole number.
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