What are the numbers divisible by 2059?

2059, 4118, 6177, 8236, 10295, 12354, 14413, 16472, 18531, 20590, 22649, 24708, 26767, 28826, 30885, 32944, 35003, 37062, 39121, 41180, 43239, 45298, 47357, 49416, 51475, 53534, 55593, 57652, 59711, 61770, 63829, 65888, 67947, 70006, 72065, 74124, 76183, 78242, 80301, 82360, 84419, 86478, 88537, 90596, 92655, 94714, 96773, 98832

There is a total of 48 numbers (up to 100000) that are divisible by 2059.
The sum of these numbers is 2421384.
The arithmetic mean of these numbers is 50445.5.

How to find the numbers divisible by 2059?

Finding all the numbers that can be divided by 2059 is essentially the same as searching for the multiples of 2059: if a number N is a multiple of 2059, then 2059 is a divisor of N.

Indeed, if we assume that N is a multiple of 2059, this means there exists an integer k such that:

$k \times 2059 = N$

Conversely, the result of N divided by 2059 is this same integer k (without any remainder):

$k = \frac{N}{2059}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2059 (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 2059 less than 100000):

1 × 2059 = 2059
2 × 2059 = 4118
3 × 2059 = 6177
...
47 × 2059 = 96773
48 × 2059 = 98832