What are the numbers divisible by 2061?

2061, 4122, 6183, 8244, 10305, 12366, 14427, 16488, 18549, 20610, 22671, 24732, 26793, 28854, 30915, 32976, 35037, 37098, 39159, 41220, 43281, 45342, 47403, 49464, 51525, 53586, 55647, 57708, 59769, 61830, 63891, 65952, 68013, 70074, 72135, 74196, 76257, 78318, 80379, 82440, 84501, 86562, 88623, 90684, 92745, 94806, 96867, 98928

There is a total of 48 numbers (up to 100000) that are divisible by 2061.
The sum of these numbers is 2423736.
The arithmetic mean of these numbers is 50494.5.

How to find the numbers divisible by 2061?

Finding all the numbers that can be divided by 2061 is essentially the same as searching for the multiples of 2061: if a number N is a multiple of 2061, then 2061 is a divisor of N.

Indeed, if we assume that N is a multiple of 2061, this means there exists an integer k such that:

$k \times 2061 = N$

Conversely, the result of N divided by 2061 is this same integer k (without any remainder):

$k = \frac{N}{2061}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2061 (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 2061 less than 100000):

1 × 2061 = 2061
2 × 2061 = 4122
3 × 2061 = 6183
...
47 × 2061 = 96867
48 × 2061 = 98928