- We say that primes must have only 2 divisors. In other hand, if number has
2 divisors, it's prime.
2 is also prime and the first element and only even element of prime set.
What must we name the numbers which have 3 or 5 or 7 or... divisors? It can
be interesting to think about these.
As we know, 6, 28, ... are perfect numbers.
But let's think:
any a natural number has a, a, ... , a[n] divisors. Clearly, we see
if a+a+...+a[n-1]=a then a-->perfect number.
if a*a*a*...*a[n-1]=a then a--> ?
after some tests, we can see if a*a*...*a[n-1]=a then absolutely,
n=3... a has 3 divisors.
*Question: is there any a natural number that:
1) it has more than 3 divisors;*
[Non-text portions of this message have been removed]
- --- In email@example.com,
Samir MusalÄ± <applied.samir@...> asked:
> if a*a*a*...*a[n-1]=a then a--> ?Then "a" is either a product of distinct primes
or the cube of a prime.