راه‌حل اول

log1 2 = 0      # Entered number is 1
log2 2 = 1      # Entered number is 2
log8 2 = 3      # Entered number is 8
log10 2 = ?     # Entered number is 10

راه‌حل دوم

# Entered number is 10
(2 ^ 10) % 10 != 0

# Entered number is 4
(2 ^ 4) % 4 == 0

(2 ^ x) % x     # x is entered number

import java.util.Scanner;

public class Sample {
    static Scanner console = new Scanner(System.in);

    public static void main(String[] args) {
        int number = 0;

        System.out.print("Enter an integer number: ");
        number = console.nextInt();

        int sum = 1;
        for(int i = 1; i <= number; i ++)
            sum *= 2;

        if(sum % number == 0)
            System.out.print("True\n");
        else
            System.out.print("False\n");

    }
}