Find whether a given integer is a power of 3 or not

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

Recommended: Please solve it on “PRACTICE ” first, before moving on to the solution.

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) 
{ 
    /* 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) 
    { 
        /* 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) 
    { 
          
        /* 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)

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My Personal Notes

Recommended: Please solve it on “PRACTICE ” first, before moving on to the solution.

C++

Java

Python

C#

PHP

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