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totient of 12
Enter n for totient
Calculate φ(12)
Calculate factors for 12
Factors for 12 are
1,2,3,4,6,12
Factors < 12 with 1 as common factor
#
Factor List
Matching Factors
Totient List?
1
1
1
Y
2
1,2
1,2
N
3
1,3
1,3
N
4
1,2,4
1,2,4
N
5
1,5
1
Y
6
1,2,3,6
1,2,3,6
N
7
1,7
1
Y
8
1,2,4,8
1,2,4
N
9
1,3,9
1,3
N
10
1,2,5,10
1,2
N
11
1,11
1
Y
Build totient list
1,5,7,11
φ(12) =
4
What is the Answer?
φ(12) =
4
How does the Eulers Totient (φ) Calculator work?
Given a positive integer (n), this calculates Euler‘s totient, also known as φ
This calculator has 1 input.
What 1 formula is used for the Eulers Totient (φ) Calculator?
φ(n) = All numbers less than n which only have 1 as a common factor
For more math formulas, check out our
Formula Dossier
What 5 concepts are covered in the Eulers Totient (φ) Calculator?
eulers totient (φ)
factor
a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.
phi
A letter of the greek alphabet used for math notation.
Φ φ
prime number
a natural number greater than 1 that is not a product of two smaller natural numbers.
totient
The number of positive integers not greater than a specified integer that are relatively prime to it
Example calculations for the Eulers Totient (φ) Calculator
totient of 2!
phi(2)
totient of 3!
phi(3)
totient of 4!
phi(4)
totient of 5!
phi(5)
totient of 6!
phi(6)
totient of 7!
phi(7)
totient of 8!
phi(8)
totient of 9!
phi(9)
totient of 10!
phi(10)
totient of 11!
phi(11)
totient of 12!
phi(12)
totient of 13!
phi(13)
totient of 14!
phi(14)
totient of 15!
phi(15)
Eulers Totient (φ) Calculator Video
Tags:
eulers totient (φ)
factor
phi
prime number
totient
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