Sum Of Number Of Divisors Of Divisors Of A Number

Правка en6, от kalimm, 2015-11-22 13:05:42

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?

Теги math, number theory

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