
hp40g+.book Page 47 Friday, December 9, 2005 1:03 AM
DIVIS | Gives the divisors of an integer. |
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| 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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