What are the numbers divisible by 3049?

3049, 6098, 9147, 12196, 15245, 18294, 21343, 24392, 27441, 30490, 33539, 36588, 39637, 42686, 45735, 48784, 51833, 54882, 57931, 60980, 64029, 67078, 70127, 73176, 76225, 79274, 82323, 85372, 88421, 91470, 94519, 97568

There is a total of 32 numbers (up to 100000) that are divisible by 3049.
The sum of these numbers is 1609872.
The arithmetic mean of these numbers is 50308.5.

How to find the numbers divisible by 3049?

Finding all the numbers that can be divided by 3049 is essentially the same as searching for the multiples of 3049: if a number N is a multiple of 3049, then 3049 is a divisor of N.

Indeed, if we assume that N is a multiple of 3049, this means there exists an integer k such that:

$k \times 3049 = N$

Conversely, the result of N divided by 3049 is this same integer k (without any remainder):

$k = \frac{N}{3049}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3049 (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 3049 less than 100000):

1 × 3049 = 3049
2 × 3049 = 6098
3 × 3049 = 9147
...
31 × 3049 = 94519
32 × 3049 = 97568