What are the numbers divisible by 3051?

3051, 6102, 9153, 12204, 15255, 18306, 21357, 24408, 27459, 30510, 33561, 36612, 39663, 42714, 45765, 48816, 51867, 54918, 57969, 61020, 64071, 67122, 70173, 73224, 76275, 79326, 82377, 85428, 88479, 91530, 94581, 97632

There is a total of 32 numbers (up to 100000) that are divisible by 3051.
The sum of these numbers is 1610928.
The arithmetic mean of these numbers is 50341.5.

How to find the numbers divisible by 3051?

Finding all the numbers that can be divided by 3051 is essentially the same as searching for the multiples of 3051: if a number N is a multiple of 3051, then 3051 is a divisor of N.

Indeed, if we assume that N is a multiple of 3051, this means there exists an integer k such that:

$k \times 3051 = N$

Conversely, the result of N divided by 3051 is this same integer k (without any remainder):

$k = \frac{N}{3051}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3051 (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 3051 less than 100000):

1 × 3051 = 3051
2 × 3051 = 6102
3 × 3051 = 9153
...
31 × 3051 = 94581
32 × 3051 = 97632