Let n be a positive integer greater than 5

Let n be a positive integer greater than 5.
Show that the sum of the divisors of n! is not divisible by n!

Other urls found in this thread:

en.wikipedia.org/wiki/Perfect_number
en.wikipedia.org/wiki/Euclid–Euler_theorem
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Why? That's dumb lul

Because you're not a brainlet

Trivial (prime factorization).

sum of the divisors of n! is 1 + 2 + 3 + ... + n which is always lower than n! for every n > 5

>sum of the divisors of n! is 1 + 2 + 3 + ... + n
imagine being this wrong

>his sum of divisors of n! doesn't even include n!
Why did you even post?

there is nothing mentioned about factoring

so wrong you look and see numbers

>there is nothing mentioned about factoring
What?

>so wrong you look and see numbers
What?

Do your own homework OP.

What a headache...
I'll keep trying.

en.wikipedia.org/wiki/Perfect_number

en.wikipedia.org/wiki/Euclid–Euler_theorem

Close but no cigar

Find me an n! that is a power of 2 times a prime.
It's done enough for me.

P.S. n can be an integer greater than 3
I just expanded your theorem lol.

Probably proved through induction? Too tired rn to try. Wrote a quick python script - the pattern seems to hold.
Left side is n, right side is divisor-sum(n!)%(n!)

see

IMAGINE BEING AT COMPUTERS
SO FAT YOU LOOK AND YOU SEE FOOD

>en.wikipedia.org/wiki/Perfect_number
>en.wikipedia.org/wiki/Euclid–Euler_theorem
How exactly does this solve OPs problem? He asked about divisibility, not equality.