What are the numbers divisible by 8225?

8225, 16450, 24675, 32900, 41125, 49350, 57575, 65800, 74025, 82250, 90475, 98700

There is a total of 12 numbers (up to 100000) that are divisible by 8225.
The sum of these numbers is 641550.
The arithmetic mean of these numbers is 53462.5.

How to find the numbers divisible by 8225?

Finding all the numbers that can be divided by 8225 is essentially the same as searching for the multiples of 8225: if a number N is a multiple of 8225, then 8225 is a divisor of N.

Indeed, if we assume that N is a multiple of 8225, this means there exists an integer k such that:

$k \times 8225 = N$

Conversely, the result of N divided by 8225 is this same integer k (without any remainder):

$k = \frac{N}{8225}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8225 (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 8225 less than 100000):

1 × 8225 = 8225
2 × 8225 = 16450
3 × 8225 = 24675
...
11 × 8225 = 90475
12 × 8225 = 98700