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Find whether a given integer is a power of 3 or not
  • Difficulty Level : Easy
  • Last Updated : 09 Apr, 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
?>

Javascript




<script>
// Javascript 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
    let n = 9;
    if (check(n))
        document.write("Yes");
    else
        document.write("No");
 
// This code is contributed by nitin _saurabh_jaiswal
</script>

Output: 

Yes

Time Complexity : O(1)

Auxiliary Space: O(1)
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