What are the numbers divisible by 9025?

9025, 18050, 27075, 36100, 45125, 54150, 63175, 72200, 81225, 90250, 99275

There is a total of 11 numbers (up to 100000) that are divisible by 9025.
The sum of these numbers is 595650.
The arithmetic mean of these numbers is 54150.

How to find the numbers divisible by 9025?

Finding all the numbers that can be divided by 9025 is essentially the same as searching for the multiples of 9025: if a number N is a multiple of 9025, then 9025 is a divisor of N.

Indeed, if we assume that N is a multiple of 9025, this means there exists an integer k such that:

$k \times 9025 = N$

Conversely, the result of N divided by 9025 is this same integer k (without any remainder):

$k = \frac{N}{9025}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9025 (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 9025 less than 100000):

1 × 9025 = 9025
2 × 9025 = 18050
3 × 9025 = 27075
...
10 × 9025 = 90250
11 × 9025 = 99275