Here's how you can write the code for this requirement:

```python
def check_num(num):
    """
    Checks if a number is positive, negative, or zero.
    
    Args:
        num (int): The number to be checked.
    
    Returns:
        None
    """
    # Check if the number is greater than 0 and log an appropriate message
    if num > 0:
        print(f"The number {num} is positive.")
        
    # If the number is not greater than 0, check if it's less than 0
    elif num < 0:
        print(f"The number {num} is negative.")
        
    # Check for any other cases where the number might be 0
    else:
        print(f"The number {num} is zero.")

# Example usage
check_num(16)
```

This Python function takes an integer `num` as input and logs a message based on whether the number is positive, negative, or zero.

Please note that I used Markdown headers for better readability.