The final secret of Vriksh lies deep within the shadows of the forest, requiring unparalleled intellect to solve. Find the three-digit number where each digit adheres to these rules:
- The first digit ranges between 0 and 2.
- The second digit ranges between 0 and 5.
- The third digit ranges between 0 and 5.
Solve these clues.
The First Digit:
I am not the starting point, yet I stand tall, the second in a series.
My position is one less than the sum of my digits when doubled.
The Second Digit:
When tripled, I become a perfect square minus one.
I am the highest single-digit value expressed as a product of identical factors.
The Third Digit:
I am the result of adding the digits of the smallest three-digit palindrome.
My factorial equals the sum of the first three natural numbers.
