What are the numbers divisible by 9113?

9113, 18226, 27339, 36452, 45565, 54678, 63791, 72904, 82017, 91130

There is a total of 10 numbers (up to 100000) that are divisible by 9113.
The sum of these numbers is 501215.
The arithmetic mean of these numbers is 50121.5.

How to find the numbers divisible by 9113?

Finding all the numbers that can be divided by 9113 is essentially the same as searching for the multiples of 9113: if a number N is a multiple of 9113, then 9113 is a divisor of N.

Indeed, if we assume that N is a multiple of 9113, this means there exists an integer k such that:

$k \times 9113 = N$

Conversely, the result of N divided by 9113 is this same integer k (without any remainder):

$k = \frac{N}{9113}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9113 (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 9113 less than 100000):

1 × 9113 = 9113
2 × 9113 = 18226
3 × 9113 = 27339
...
9 × 9113 = 82017
10 × 9113 = 91130