What are the numbers divisible by 9100?

9100, 18200, 27300, 36400, 45500, 54600, 63700, 72800, 81900, 91000

There is a total of 10 numbers (up to 100000) that are divisible by 9100.
The sum of these numbers is 500500.
The arithmetic mean of these numbers is 50050.

How to find the numbers divisible by 9100?

Finding all the numbers that can be divided by 9100 is essentially the same as searching for the multiples of 9100: if a number N is a multiple of 9100, then 9100 is a divisor of N.

Indeed, if we assume that N is a multiple of 9100, this means there exists an integer k such that:

$k \times 9100 = N$

Conversely, the result of N divided by 9100 is this same integer k (without any remainder):

$k = \frac{N}{9100}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9100 (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 9100 less than 100000):

1 × 9100 = 9100
2 × 9100 = 18200
3 × 9100 = 27300
...
9 × 9100 = 81900
10 × 9100 = 91000