What are the numbers divisible by 5051?

5051, 10102, 15153, 20204, 25255, 30306, 35357, 40408, 45459, 50510, 55561, 60612, 65663, 70714, 75765, 80816, 85867, 90918, 95969

There is a total of 19 numbers (up to 100000) that are divisible by 5051.
The sum of these numbers is 959690.
The arithmetic mean of these numbers is 50510.

How to find the numbers divisible by 5051?

Finding all the numbers that can be divided by 5051 is essentially the same as searching for the multiples of 5051: if a number N is a multiple of 5051, then 5051 is a divisor of N.

Indeed, if we assume that N is a multiple of 5051, this means there exists an integer k such that:

$k \times 5051 = N$

Conversely, the result of N divided by 5051 is this same integer k (without any remainder):

$k = \frac{N}{5051}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 5051 (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 5051 less than 100000):

1 × 5051 = 5051
2 × 5051 = 10102
3 × 5051 = 15153
...
18 × 5051 = 90918
19 × 5051 = 95969