Adding collatz conjecture program

CPP/miscelanious/threenplusone/threenplusone.cpp

@@ -0,0 +1,41 @@
+#include <iostream>
+#include <math.h>
+
+int threeNLoop(int n)
+{
+  int steps = 0;
+  do{
+    if(n % 2 == 1)
+    {
+      n = (3*n + 1) / 2;
+      steps += 2;
+    }else
+    {
+      n /= 2;
+      steps++;
+    }
+  }while(n != 1);
+  return steps;
+}
+
+int main()
+{
+  int n;
+  std::cout << "Enter n (where the numbers checked wil be at most 2 ^ n) value:" << std::endl;
+  std::cin >> n;
+  int maxSteps = 0;
+  int maxN = 1;
+  for(int i = 1; i <= pow(2, n); i++)
+  {
+    int currentSteps = threeNLoop(i);
+    if(currentSteps > maxSteps)
+    {
+      maxSteps = currentSteps;
+      maxN = i;
+    }
+
+  }
+  std::cout << "max steps: " << maxSteps << std::endl;
+  std::cout << "For n = " << maxN << std::endl;
+  return 0;
+}