What are the numbers divisible by 3074?

3074, 6148, 9222, 12296, 15370, 18444, 21518, 24592, 27666, 30740, 33814, 36888, 39962, 43036, 46110, 49184, 52258, 55332, 58406, 61480, 64554, 67628, 70702, 73776, 76850, 79924, 82998, 86072, 89146, 92220, 95294, 98368

There is a total of 32 numbers (up to 100000) that are divisible by 3074.
The sum of these numbers is 1623072.
The arithmetic mean of these numbers is 50721.

How to find the numbers divisible by 3074?

Finding all the numbers that can be divided by 3074 is essentially the same as searching for the multiples of 3074: if a number N is a multiple of 3074, then 3074 is a divisor of N.

Indeed, if we assume that N is a multiple of 3074, this means there exists an integer k such that:

$k \times 3074 = N$

Conversely, the result of N divided by 3074 is this same integer k (without any remainder):

$k = \frac{N}{3074}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3074 (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 3074 less than 100000):

1 × 3074 = 3074
2 × 3074 = 6148
3 × 3074 = 9222
...
31 × 3074 = 95294
32 × 3074 = 98368