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Find whether a given integer is a power of 3 or not
  • Difficulty Level : Easy
  • Last Updated : 11 Feb, 2021

Given a positive integer, write a function to find if it is a power of three or not. 
Examples: 

Input : 3
Output :Yes

Input :6
Output :No

Approach:
The logic is very simple. Any integer number other than power of 3 which divides highest power of 3 value that integer can hold 3^19 = 1162261467 (Assuming that integers are stored using 32 bits) will give reminder non-zero. 

C++




// C++ program to check if a number is power
// of 3 or not.
#include <stdio.h>
 
// Returns true if n is power of 3, else false
bool check(int n)
{
    if (n <= 0)
        return false;
    /* The maximum power of 3 value that
       integer can hold is 1162261467 ( 3^19 ) .*/
    return 1162261467 % n == 0;
}
 
// Driver code
int main()
{
    int n = 9;
    if (check(n))
        printf("Yes");
    else
        printf("No");
 
    return 0;
}


Java




// Java program to check if a number is power
// of 3 or not.
public class Power_3 {
 
    // Returns true if n is power of 3, else false
    static boolean check(int n)
    {
        /* To prevent
        java.lang.ArithmeticException: / by zero and
        negative n */
        if (n <= 0)
            return false;
        /* The maximum power of 3 value that
           integer can hold is 1162261467 ( 3^19 ) .*/
        return 1162261467 % n == 0;
    }
 
    // Driver code
    public static void main(String args[])
    {
        int n = 9;
        if (check(n))
            System.out.println("Yes");
        else
            System.out.println("No");
    }
}
// This code is contributed by Sumit Ghosh


Python




# Python program to check if a number is power
# of 3 or not.
  
# Returns true if n is power of 3, else false
def check(n):
    """ The maximum power of 3 value that
       integer can hold is 1162261467 ( 3^19 ) ."""
    return 1162261467 % n == 0
  
# Driver code
n = 9
if (check(n)):
    print ("Yes")
else:
    print ("No")
 
# This code is contributed by Sachin Bisht


C#




// C# program to check if a number
// is power of 3 or not.
using System;
 
public class GFG {
 
    // Returns true if n is power
    // of 3, else false
    static bool check(int n)
    {
        if (n <= 0)
            return false;
        /* The maximum power of 3
        value that integer can hold
        is 1162261467 ( 3^19 ) .*/
        return 1162261467 % n == 0;
    }
 
    // Driver code
    public static void Main()
    {
        int n = 9;
        if (check(n))
            Console.Write("Yes");
        else
            Console.Write("No");
    }
}
 
// This code is contributed by
// nitin mittal.


PHP




<?php
// PHP program to check if a
// number is power of 3 or not.
 
// Returns true if n is
// power of 3, else false
function check($n)
{
     
    /* The maximum power of 3 value that
       integer can hold is 1162261467
       ( 3^19 ) . */
    return 1162261467 % $n == 0;
}
 
    // Driver code
    $n = 9;
    if (check($n))
        echo("Yes");
    else
        echo("No");
 
// This code is contributed by nitin mittal
?>


Output: 

Yes

Time Complexity : O(1)
This article is contributed by Jebasingh and Riyazath. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.
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