What are the numbers divisible by 9116?

9116, 18232, 27348, 36464, 45580, 54696, 63812, 72928, 82044, 91160

There is a total of 10 numbers (up to 100000) that are divisible by 9116.
The sum of these numbers is 501380.
The arithmetic mean of these numbers is 50138.

How to find the numbers divisible by 9116?

Finding all the numbers that can be divided by 9116 is essentially the same as searching for the multiples of 9116: if a number N is a multiple of 9116, then 9116 is a divisor of N.

Indeed, if we assume that N is a multiple of 9116, this means there exists an integer k such that:

$k \times 9116 = N$

Conversely, the result of N divided by 9116 is this same integer k (without any remainder):

$k = \frac{N}{9116}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9116 (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 9116 less than 100000):

1 × 9116 = 9116
2 × 9116 = 18232
3 × 9116 = 27348
...
9 × 9116 = 82044
10 × 9116 = 91160