Re: Number Theory Functions

15 has actually 4 divisors: 1, 3, 5 and 15. What's wrong there?

Le lundi 15 mars 2010 à 11:27 -0500, avkalb a écrit :
Using Gnumeric Spreadsheet 1.10.1 and 64-bit Sidux.

The Gnumeric Manual, Version 1.10, section A13 indicates some number theory
calculations are available.  I have briefly examined a few:

Some functions give me reasonable outputs for simple test inputs:
    Isprime, ithprime, nt_pi,  nt_sigma, and pfactor.

But nt_d doesn't  seem to work as I expected.  nt_d(n) is supposed to 
calculate the number of divisors of n
according to function reference A13 in The Gnumeric Manual, Version 1.10

If you select the insert function from the menu bar and then select nt_d 
from the listing,  an example is given
that nt_d(4096) = 13. In actuality, 2^12 = 4096 i.e there are 12 
divisors of 2 in 4096.  If 1 also is included
as a divisor then 13 would be correct.

But that doesn't explain the following results:

 nt_d(15) =  4 
 nt_d(21) =  4
 nt_d(70) =  8

though it would explain these:
n             7    11    31    16
nt_d(n)    2     2      2      5

What's wrong?  Am I misinterpreting what the function is supposed to 
do?  Any suggestions?

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