What are the numbers divisible by 6025?

6025, 12050, 18075, 24100, 30125, 36150, 42175, 48200, 54225, 60250, 66275, 72300, 78325, 84350, 90375, 96400

There is a total of 16 numbers (up to 100000) that are divisible by 6025.
The sum of these numbers is 819400.
The arithmetic mean of these numbers is 51212.5.

How to find the numbers divisible by 6025?

Finding all the numbers that can be divided by 6025 is essentially the same as searching for the multiples of 6025: if a number N is a multiple of 6025, then 6025 is a divisor of N.

Indeed, if we assume that N is a multiple of 6025, this means there exists an integer k such that:

$k \times 6025 = N$

Conversely, the result of N divided by 6025 is this same integer k (without any remainder):

$k = \frac{N}{6025}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 6025 (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 6025 less than 100000):

1 × 6025 = 6025
2 × 6025 = 12050
3 × 6025 = 18075
...
15 × 6025 = 90375
16 × 6025 = 96400