What are the numbers divisible by 3079?

3079, 6158, 9237, 12316, 15395, 18474, 21553, 24632, 27711, 30790, 33869, 36948, 40027, 43106, 46185, 49264, 52343, 55422, 58501, 61580, 64659, 67738, 70817, 73896, 76975, 80054, 83133, 86212, 89291, 92370, 95449, 98528

There is a total of 32 numbers (up to 100000) that are divisible by 3079.
The sum of these numbers is 1625712.
The arithmetic mean of these numbers is 50803.5.

How to find the numbers divisible by 3079?

Finding all the numbers that can be divided by 3079 is essentially the same as searching for the multiples of 3079: if a number N is a multiple of 3079, then 3079 is a divisor of N.

Indeed, if we assume that N is a multiple of 3079, this means there exists an integer k such that:

$k \times 3079 = N$

Conversely, the result of N divided by 3079 is this same integer k (without any remainder):

$k = \frac{N}{3079}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3079 (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 3079 less than 100000):

1 × 3079 = 3079
2 × 3079 = 6158
3 × 3079 = 9237
...
31 × 3079 = 95449
32 × 3079 = 98528