What are the numbers divisible by 3025?

3025, 6050, 9075, 12100, 15125, 18150, 21175, 24200, 27225, 30250, 33275, 36300, 39325, 42350, 45375, 48400, 51425, 54450, 57475, 60500, 63525, 66550, 69575, 72600, 75625, 78650, 81675, 84700, 87725, 90750, 93775, 96800, 99825

There is a total of 33 numbers (up to 100000) that are divisible by 3025.
The sum of these numbers is 1697025.
The arithmetic mean of these numbers is 51425.

How to find the numbers divisible by 3025?

Finding all the numbers that can be divided by 3025 is essentially the same as searching for the multiples of 3025: if a number N is a multiple of 3025, then 3025 is a divisor of N.

Indeed, if we assume that N is a multiple of 3025, this means there exists an integer k such that:

$k \times 3025 = N$

Conversely, the result of N divided by 3025 is this same integer k (without any remainder):

$k = \frac{N}{3025}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3025 (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 3025 less than 100000):

1 × 3025 = 3025
2 × 3025 = 6050
3 × 3025 = 9075
...
32 × 3025 = 96800
33 × 3025 = 99825