Sum Of Number Of Divisors Of Divisors Of A Number

Revision en2, by kalimm, 2015-11-08 22:26:43

What is the sum of number of divisors of divisors of number which is smaller than n, such that sum of number of divisors of divisors of this number is maximum?

For example,

g(n) = number of divisors of n

f(12) = g(1) + g(2) + g(3) + g(4) + g(6) + g(12)

f(12) = (1) + (2) + (2) + (3) + (4) + (6) = 18

Can you help about it?

Tags math, number theory

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  Rev. Lang. By When Δ Comment
en6 English kalimm 2015-11-22 13:05:42 3 Tiny change: '6)$ = $18$\n\nCan yo' -> '6)$ = $18$ \n\nCan yo'
en5 English kalimm 2015-11-12 13:13:42 9 Tiny change: ' example, \n\n$g(n)' -> ' example, \n\n$g(n)'
en4 English kalimm 2015-11-10 17:03:51 4 Tiny change: '$ $of$ $n$\n\n$f(12)' -> '$ $of$ $n$ \n\n$f(12)'
en3 English kalimm 2015-11-09 15:05:04 2 Tiny change: ') + g(12)$\n\n$f(12)' -> ') + g(12)$ \n\n$f(12)'
en2 English kalimm 2015-11-08 22:26:43 41
en1 English kalimm 2015-11-08 13:20:38 378 Initial revision (published)