PHP Program to Check Magic Number

Posted in PHP Tutorial

Updated on Oct 31, 2024

By Mari Selvan

👁️ 63 - Views

⏳ 4 mins

💬 1 Comment

Photo Credit to CodeToFun

🙋 Introduction

In the world of programming, the concept of magic numbers is a fascinating one.

A magic number is a number in which the eventual sum of its digits, when the sum is recursively calculated, leads to a single-digit number that is 1. If the final sum is not 1, the number is not considered magic.

In this tutorial, we'll delve into a PHP program that checks whether a given number is a magic number or not.

📄 Example

Let's take a look at the PHP code that checks for the magic number property.

isMagicNumber.php

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<?php
// Function to check if a number is magic
function isMagicNumber($num)
{
  while ($num > 9)
  {
    $sum = 0;

    // Calculate the sum of digits
    while ($num > 0)
    {
      $sum += $num % 10;
      $num /= 10;
    }

    $num = $sum;
  }

  // Check if the final sum is 1
  return ($num == 1);
}

// Driver program
// Replace this value with your desired number
$number = 19;

// Check if the number is magic
if (isMagicNumber($number))
{
  echo "$number is a Magic Number.\n";
}
else
{
  echo "$number is not a Magic Number.\n";
}
?>

💻 Testing the Program

To test the program with different numbers, simply replace the value of $number in the code.

Output

19 is a Magic Number.

Run the script to see whether the number is a magic number or not.

🧠 How the Program Works

The program defines a function isMagicNumber that takes an integer as input and checks if it is a magic number.
Inside the function, it iteratively calculates the sum of the digits of the number until the number becomes a single-digit number.
It then checks if the final sum is equal to 1, indicating a magic number.

📏 Between the Given Range

Let's take a look at the php code that checks for Magic Numbers within the specified range.

isMagicNumber.php

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<?php
// Function to check if a number is magic
function isMagicNumber($num)
{
  while ($num > 9)
  {
    $sum = 0;

    // Sum the squares of each digit
    while ($num > 0)
    {
      $digit = $num % 10;
      $sum += $digit * $digit;
      $num /= 10;
    }

    $num = $sum;
  }

  // Check if the final value is 1
  return $num == 1;
}

// Driver program
echo "Magic Numbers in the range 1 to 50:\n";

for ($i = 1;$i <= 50;$i++)
{
  if (isMagicNumber($i))
  {
    echo $i . " ";
  }
}

?>

💻 Testing the Program

Output

Magic Numbers in the range 1 to 50:
1 10 19 28 37 46

To test the program, run the script. It will output the magic numbers within the specified range.

🧠 How the Program Works

The program defines a function isMagicNumber that checks if a given number is a magic number.
Inside the function, it uses a while loop to repeatedly sum the squares of the digits until the number becomes a single-digit number.
The main section iterates through the range from 1 to 50 and prints the magic numbers.

🧐 Understanding the Concept of Magic Numbers

A magic number is a number in which the sum of its digits leads to a single-digit number, and that single-digit number is 1.

For example, the number 19 is a magic number because the sum of its digits (1 + 9) is 10, and the sum of 1 and 0 is 1.

🎢 Optimizing the Program

While the provided program is effective, consider exploring and implementing optimizations or additional features based on your specific requirements.

Feel free to incorporate and modify this code as needed for your specific use case. Happy coding!