What are the numbers divisible by 2058?

2058, 4116, 6174, 8232, 10290, 12348, 14406, 16464, 18522, 20580, 22638, 24696, 26754, 28812, 30870, 32928, 34986, 37044, 39102, 41160, 43218, 45276, 47334, 49392, 51450, 53508, 55566, 57624, 59682, 61740, 63798, 65856, 67914, 69972, 72030, 74088, 76146, 78204, 80262, 82320, 84378, 86436, 88494, 90552, 92610, 94668, 96726, 98784

There is a total of 48 numbers (up to 100000) that are divisible by 2058.
The sum of these numbers is 2420208.
The arithmetic mean of these numbers is 50421.

How to find the numbers divisible by 2058?

Finding all the numbers that can be divided by 2058 is essentially the same as searching for the multiples of 2058: if a number N is a multiple of 2058, then 2058 is a divisor of N.

Indeed, if we assume that N is a multiple of 2058, this means there exists an integer k such that:

$k \times 2058 = N$

Conversely, the result of N divided by 2058 is this same integer k (without any remainder):

$k = \frac{N}{2058}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2058 (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 2058 less than 100000):

1 × 2058 = 2058
2 × 2058 = 4116
3 × 2058 = 6174
...
47 × 2058 = 96726
48 × 2058 = 98784