What are the numbers divisible by 8025?

8025, 16050, 24075, 32100, 40125, 48150, 56175, 64200, 72225, 80250, 88275, 96300

There is a total of 12 numbers (up to 100000) that are divisible by 8025.
The sum of these numbers is 625950.
The arithmetic mean of these numbers is 52162.5.

How to find the numbers divisible by 8025?

Finding all the numbers that can be divided by 8025 is essentially the same as searching for the multiples of 8025: if a number N is a multiple of 8025, then 8025 is a divisor of N.

Indeed, if we assume that N is a multiple of 8025, this means there exists an integer k such that:

$k \times 8025 = N$

Conversely, the result of N divided by 8025 is this same integer k (without any remainder):

$k = \frac{N}{8025}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8025 (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 8025 less than 100000):

1 × 8025 = 8025
2 × 8025 = 16050
3 × 8025 = 24075
...
11 × 8025 = 88275
12 × 8025 = 96300