What are the numbers divisible by 2024?

2024, 4048, 6072, 8096, 10120, 12144, 14168, 16192, 18216, 20240, 22264, 24288, 26312, 28336, 30360, 32384, 34408, 36432, 38456, 40480, 42504, 44528, 46552, 48576, 50600, 52624, 54648, 56672, 58696, 60720, 62744, 64768, 66792, 68816, 70840, 72864, 74888, 76912, 78936, 80960, 82984, 85008, 87032, 89056, 91080, 93104, 95128, 97152, 99176

There is a total of 49 numbers (up to 100000) that are divisible by 2024.
The sum of these numbers is 2479400.
The arithmetic mean of these numbers is 50600.

How to find the numbers divisible by 2024?

Finding all the numbers that can be divided by 2024 is essentially the same as searching for the multiples of 2024: if a number N is a multiple of 2024, then 2024 is a divisor of N.

Indeed, if we assume that N is a multiple of 2024, this means there exists an integer k such that:

$k \times 2024 = N$

Conversely, the result of N divided by 2024 is this same integer k (without any remainder):

$k = \frac{N}{2024}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2024 (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 2024 less than 100000):

1 × 2024 = 2024
2 × 2024 = 4048
3 × 2024 = 6072
...
48 × 2024 = 97152
49 × 2024 = 99176