What are the numbers divisible by 8065?

8065, 16130, 24195, 32260, 40325, 48390, 56455, 64520, 72585, 80650, 88715, 96780

There is a total of 12 numbers (up to 100000) that are divisible by 8065.
The sum of these numbers is 629070.
The arithmetic mean of these numbers is 52422.5.

How to find the numbers divisible by 8065?

Finding all the numbers that can be divided by 8065 is essentially the same as searching for the multiples of 8065: if a number N is a multiple of 8065, then 8065 is a divisor of N.

Indeed, if we assume that N is a multiple of 8065, this means there exists an integer k such that:

$k \times 8065 = N$

Conversely, the result of N divided by 8065 is this same integer k (without any remainder):

$k = \frac{N}{8065}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8065 (we can keep multiplying it by increasingly larger integers, without ever reaching the end).

However, in this instance, we've chosen to set an arbitrary limit (specifically, the multiples of 8065 less than 100000):

1 × 8065 = 8065
2 × 8065 = 16130
3 × 8065 = 24195
...
11 × 8065 = 88715
12 × 8065 = 96780