What are the numbers divisible by 2025?

2025, 4050, 6075, 8100, 10125, 12150, 14175, 16200, 18225, 20250, 22275, 24300, 26325, 28350, 30375, 32400, 34425, 36450, 38475, 40500, 42525, 44550, 46575, 48600, 50625, 52650, 54675, 56700, 58725, 60750, 62775, 64800, 66825, 68850, 70875, 72900, 74925, 76950, 78975, 81000, 83025, 85050, 87075, 89100, 91125, 93150, 95175, 97200, 99225

There is a total of 49 numbers (up to 100000) that are divisible by 2025.
The sum of these numbers is 2480625.
The arithmetic mean of these numbers is 50625.

How to find the numbers divisible by 2025?

Finding all the numbers that can be divided by 2025 is essentially the same as searching for the multiples of 2025: if a number N is a multiple of 2025, then 2025 is a divisor of N.

Indeed, if we assume that N is a multiple of 2025, this means there exists an integer k such that:

$k \times 2025 = N$

Conversely, the result of N divided by 2025 is this same integer k (without any remainder):

$k = \frac{N}{2025}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2025 (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 2025 less than 100000):

1 × 2025 = 2025
2 × 2025 = 4050
3 × 2025 = 6075
...
48 × 2025 = 97200
49 × 2025 = 99225