The totient function 
, the subject of Cody Problems 656 and 50182, gives the number of integers smaller than n that are relatively prime to n--that is, that share no common factors with n other than 1. Therefore, 
because 1, 2, 4, 5, 7, and 8 (i.e., six numbers less than 9) are relatively prime to 9.
, the subject of Cody Problems 656 and 50182, gives the number of integers smaller than n that are relatively prime to n--that is, that share no common factors with n other than 1. Therefore, because 1, 2, 4, 5, 7, and 8 (i.e., six numbers less than 9) are relatively prime to 9. The unitary totient function 
is defined in terms of the function gcd*(k,n), which is the largest divisor of k that is also a unitary divisor of n. Then the unitary totient function gives the number of k (with 
) such that gcd*(k,n) = 1. For example, 
because the unitary divisors of 9 are 1 and 9. Therefore, for 
, the largest divisors that are also unitary divisors of 9 are 1-8.
is defined in terms of the function gcd*(k,n), which is the largest divisor of k that is also a unitary divisor of n. Then the unitary totient function gives the number of k (with ) such that gcd*(k,n) = 1. For example, because the unitary divisors of 9 are 1 and 9. Therefore, for , the largest divisors that are also unitary divisors of 9 are 1-8. Write a function to compute the unitary totient function.
Solution Stats
Problem Comments
Solution Comments
Show comments
Loading...
Problem Recent Solvers8
Suggested Problems
-
Remove the polynomials that have positive real elements of their roots.
1743 Solvers
-
1683 Solvers
-
Define the operators of function_handles
60 Solvers
-
667 Solvers
-
Angle Between Analog Clock Hands
115 Solvers
More from this Author326
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
