2023 AMC 12A Problems/Problem 22
Problem
Let 
be the unique function defined on the positive integers such that ![\[\sum_{d\mid n}d\cdot f\left(\frac{n}{d}\right)=1\]](http://latex.artofproblemsolving.com/b/5/7/b5732e957114ff62dabd6b1f9c816210038356c0.png)
for all positive integers 
. What is 
?
Video Solution by MOP 2024
https://YouTube.com/watch?v=gdhVqdRhMsQ
See also
| 2023 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 21 |
Followed by Problem 23 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
