What are the numbers divisible by 8051?

8051, 16102, 24153, 32204, 40255, 48306, 56357, 64408, 72459, 80510, 88561, 96612

There is a total of 12 numbers (up to 100000) that are divisible by 8051.
The sum of these numbers is 627978.
The arithmetic mean of these numbers is 52331.5.

How to find the numbers divisible by 8051?

Finding all the numbers that can be divided by 8051 is essentially the same as searching for the multiples of 8051: if a number N is a multiple of 8051, then 8051 is a divisor of N.

Indeed, if we assume that N is a multiple of 8051, this means there exists an integer k such that:

$k \times 8051 = N$

Conversely, the result of N divided by 8051 is this same integer k (without any remainder):

$k = \frac{N}{8051}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8051 (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 8051 less than 100000):

1 × 8051 = 8051
2 × 8051 = 16102
3 × 8051 = 24153
...
11 × 8051 = 88561
12 × 8051 = 96612