What are the numbers divisible by 9125?

9125, 18250, 27375, 36500, 45625, 54750, 63875, 73000, 82125, 91250

There is a total of 10 numbers (up to 100000) that are divisible by 9125.
The sum of these numbers is 501875.
The arithmetic mean of these numbers is 50187.5.

How to find the numbers divisible by 9125?

Finding all the numbers that can be divided by 9125 is essentially the same as searching for the multiples of 9125: if a number N is a multiple of 9125, then 9125 is a divisor of N.

Indeed, if we assume that N is a multiple of 9125, this means there exists an integer k such that:

$k \times 9125 = N$

Conversely, the result of N divided by 9125 is this same integer k (without any remainder):

$k = \frac{N}{9125}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9125 (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 9125 less than 100000):

1 × 9125 = 9125
2 × 9125 = 18250
3 × 9125 = 27375
...
9 × 9125 = 82125
10 × 9125 = 91250