What are the numbers divisible by 2051?

2051, 4102, 6153, 8204, 10255, 12306, 14357, 16408, 18459, 20510, 22561, 24612, 26663, 28714, 30765, 32816, 34867, 36918, 38969, 41020, 43071, 45122, 47173, 49224, 51275, 53326, 55377, 57428, 59479, 61530, 63581, 65632, 67683, 69734, 71785, 73836, 75887, 77938, 79989, 82040, 84091, 86142, 88193, 90244, 92295, 94346, 96397, 98448

There is a total of 48 numbers (up to 100000) that are divisible by 2051.
The sum of these numbers is 2411976.
The arithmetic mean of these numbers is 50249.5.

How to find the numbers divisible by 2051?

Finding all the numbers that can be divided by 2051 is essentially the same as searching for the multiples of 2051: if a number N is a multiple of 2051, then 2051 is a divisor of N.

Indeed, if we assume that N is a multiple of 2051, this means there exists an integer k such that:

$k \times 2051 = N$

Conversely, the result of N divided by 2051 is this same integer k (without any remainder):

$k = \frac{N}{2051}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2051 (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 2051 less than 100000):

1 × 2051 = 2051
2 × 2051 = 4102
3 × 2051 = 6153
...
47 × 2051 = 96397
48 × 2051 = 98448