When product sigma(k)/d(k) = integer

[Leroy Quet]

>Leroy Quet wrote:
>> For which n's is
>> 
>> product{k=1 to n} sigma(k)/d(k)
>> 
>> an integer?
>> 
>> (sigma(k) is sum{j|k} j, and d(k) = sum{j|k} 1.)
>> 
>> Is this sequence in the EIS?
>
>At a quick glance, the only positive integers *not* in the sequence
>appear to be 2 and 10.  Every other integer up to 5000 is in the
>sequence.


Hmmmm....the question occurs to me and to most probably to others on the 
list, is the sequence of n's where the product to n is not an integer a 
finite sequence?
And if so, what is the top n? Is it 10?

thanks,
Leroy Quet