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Copy pathcollatzConjecture.js
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35 lines (26 loc) · 824 Bytes
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/*
The Collatz conjecture (also known as 3n+1 conjecture) is a conjecture that applying the following algorithm to any number we will always eventually reach one:
[This is writen in pseudocode]
if(number is even) number = number / 2
if(number is odd) number = 3*number + 1
#Task
Your task is to make a function hotpo that takes a positive n as input and returns the number of times you need to perform this algorithm to get n = 1.
#Examples
hotpo(1) returns 0
(1 is already 1)
hotpo(5) returns 5
5 -> 16 -> 8 -> 4 -> 2 -> 1
hotpo(6) returns 8
6 -> 3 -> 10 -> 5 -> 16 -> 8 -> 4 -> 2 -> 1
hotpo(23) returns 15
23 -> 70 -> 35 -> 106 -> 53 -> 160 -> 80 -> 40 -> 20 -> 10 -> 5 -> 16 -> 8 -> 4 -> 2 -> 1
*/
//Answer//
var hotpo = function(n){
let count = 0
while (n!==1){
count++
!(n%2)?n=n/2:n=(3*n)+1
}
return count
}