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Digital Fusion Roots (DFR)

A Digital Fusion Root (DFR) is a number that is equal to the concatenation of its digit sum and digit product.
This repository contains Python code to identify, verify, and analyze such numbers.


📄 Research Paper

This work has been published in the Curieux Academic Journal.
Read the full paper here:
Digital Fusion Roots – Research Paper (PDF)


🔍 How It Works

  1. Digit Sum – Add all digits of a number.
  2. Digit Product – Multiply all digits of a number.
  3. Concatenation – Join the digit sum and digit product as strings.
  4. Check – If the concatenated value equals the original number, it’s a DFR.

🚀 Usage

python main.py

🧑‍💻 Author

Umesh Adabala
High school student & independent researcher passionate about mathematics and computer science.

About

Python program to find and analyze Digital Fusion Roots (DFRs) — numbers equal to the concatenation of their digit sum and digit product. Includes functions to search, verify, and display results.

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