What are the numbers divisible by 3052?

3052, 6104, 9156, 12208, 15260, 18312, 21364, 24416, 27468, 30520, 33572, 36624, 39676, 42728, 45780, 48832, 51884, 54936, 57988, 61040, 64092, 67144, 70196, 73248, 76300, 79352, 82404, 85456, 88508, 91560, 94612, 97664

There is a total of 32 numbers (up to 100000) that are divisible by 3052.
The sum of these numbers is 1611456.
The arithmetic mean of these numbers is 50358.

How to find the numbers divisible by 3052?

Finding all the numbers that can be divided by 3052 is essentially the same as searching for the multiples of 3052: if a number N is a multiple of 3052, then 3052 is a divisor of N.

Indeed, if we assume that N is a multiple of 3052, this means there exists an integer k such that:

$k \times 3052 = N$

Conversely, the result of N divided by 3052 is this same integer k (without any remainder):

$k = \frac{N}{3052}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3052 (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 3052 less than 100000):

1 × 3052 = 3052
2 × 3052 = 6104
3 × 3052 = 9156
...
31 × 3052 = 94612
32 × 3052 = 97664