krishnamurthy-utils 0.1.0

A lightweight Python package to check whether a number is a Krishnamurthy (Strong) number.

Krishnamurthy Utils

A lightweight, beginner-friendly, and efficient Python package for checking whether a number is a Krishnamurthy Number (also known as a Strong Number or Peterson Number).

The package provides a simple API that can be integrated into educational projects, coding practice, mathematical applications, and Python programs.

---

What is a Krishnamurthy Number?

A Krishnamurthy Number is a positive integer whose value is equal to the sum of the factorials of its individual digits.

Formula

Number = Σ Factorial(each digit)

For example,

145

1! + 4! + 5!
= 1 + 24 + 120
= 145

Since the sum equals the original number, 145 is a Krishnamurthy Number.

Another example,

40585

4! + 0! + 5! + 8! + 5!
= 24 + 1 + 120 + 40320 + 120
= 40585

---

Features

• Simple API
• Lightweight package
• Fast execution
• Beginner friendly
• Zero external dependencies
• Easy integration into any Python project
• Ideal for coding interviews and DSA practice
• Well documented

---

Installation

Install directly from PyPI.

pip install krishnamurthy-utils

Or upgrade to the latest version.

pip install --upgrade krishnamurthy-utils

---

Quick Start

from krishnamurthy_utils import is_kmn

print(is_kmn(145))

Output

True

---

Usage Examples

Example 1

from krishnamurthy_utils import is_kmn

print(is_kmn(145))

Output

True

---

Example 2

from krishnamurthy_utils import is_kmn

print(is_kmn(40585))

Output

True

---

Example 3

from krishnamurthy_utils import is_kmn

print(is_kmn(123))

Output

False

---

Example 4

from krishnamurthy_utils import is_kmn

numbers = [1, 2, 145, 40585, 123, 567]

for number in numbers:
    print(number, is_kmn(number))

Output

1 True
2 True
145 True
40585 True
123 False
567 False

---

Function Reference

is_kmn(number)

Checks whether the given integer is a Krishnamurthy Number.

Parameters

Parameter	Type	Description
number	int	Positive integer

Returns

Type	Description
bool	Returns True if the number is a Krishnamurthy Number, otherwise False.

---

Example

from krishnamurthy_utils import is_kmn

number = int(input("Enter a number: "))

if is_kmn(number):
    print("Krishnamurthy Number")
else:
    print("Not a Krishnamurthy Number")

---

Known Krishnamurthy Numbers

The known Krishnamurthy Numbers in decimal representation are

1
2
145
40585

---

Time Complexity

Time Complexity : O(d)

Space Complexity : O(1)

Where d is the number of digits.

---

Requirements

• Python 3.8+
• No external libraries required

---

Project Structure

krishnamurthy-utils
│
├── src
│   └── krishnamurthy_utils
│       ├── __init__.py
│       └── krishnamurthy.py
│
├── tests
│   └── test_krishnamurthy.py
│
├── README.md
├── LICENSE
└── pyproject.toml

---

Contributing

Contributions are welcome!

You can contribute by:

• Reporting bugs
• Improving documentation
• Adding test cases
• Optimizing the implementation
• Suggesting new features

Fork the repository, create a feature branch, and submit a pull request.

---

License

This project is licensed under the Apache License 2.0.

You are free to use, modify, distribute, and contribute to this project under the terms of the Apache License 2.0.

See the LICENSE file for complete details.

---

Author

Krishna

Engineer | Python Developer | AI & ML Enthusiast

---

Support

If you find this package useful,

⭐ Star the repository

⭐ Share it with others

⭐ Contribute to its development

Happy Coding!