The Lagarias arithmetic derivative D(n) is defined for integers such that the derivative of a prime number is 1: D(p) = 1. It also satisfies the Leibniz formula, which resembles the product rule of calculus:
D(mn) = mD(n)+nD(m)
For example, the arithmetic derivative of 15 is 3D(5) + 5D(3) = 3x1 + 5x1 = 8. The Leibniz formula also implies that D(1) = 0.
Write a function to compute the arithmetic derivative of a natural number.
Solve

Solution Stats

72 Solutions

27 Solvers

Last Solution submitted on May 25, 2026

Last 200 Solutions

Solution Comments

Show comments

Problem Recent Solvers27

Chris Cleveland George Berken Mehdi Dehghan 赵思铭

Suggested Problems

More from this Author325

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!