hp40g+.book Page 47 Friday, December 9, 2005 1:03 AM

DIVIS

Gives the divisors of an integer.

 

 

Example

 

Typing:

 

DIVIS(12)

 

gives:

 

12 OR 6 OR 3 OR 4 OR 2 OR 1

 

Note: DIVIS(0) returns 0 OR 1.

EULER

Returns the Euler index of a whole number. The Euler

 

 

index of n is the number of whole numbers less than n that

 

are prime with n.

 

Example

 

Typing:

 

EULER(21)

 

gives:

 

12

 

Explanation: {2,4,5,7,8,10,11,13,15,16,17,19} is

 

the set of whole numbers less than 21 and prime with 21.

 

There are 12 members of the set, so the Euler index is12.

FACTOR

Decomposes an integer into its prime factors.

 

Example

 

Typing:

 

FACTOR(90)

 

gives:

 

2·32·5

GCD

Returns the greatest common divisor of two integers.

 

 

Example

 

Typing:

 

GCD(18, 15)

 

gives:

 

3

Computer Algebra System (CAS)

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