What are the numbers divisible by 3073?

3073, 6146, 9219, 12292, 15365, 18438, 21511, 24584, 27657, 30730, 33803, 36876, 39949, 43022, 46095, 49168, 52241, 55314, 58387, 61460, 64533, 67606, 70679, 73752, 76825, 79898, 82971, 86044, 89117, 92190, 95263, 98336

There is a total of 32 numbers (up to 100000) that are divisible by 3073.
The sum of these numbers is 1622544.
The arithmetic mean of these numbers is 50704.5.

How to find the numbers divisible by 3073?

Finding all the numbers that can be divided by 3073 is essentially the same as searching for the multiples of 3073: if a number N is a multiple of 3073, then 3073 is a divisor of N.

Indeed, if we assume that N is a multiple of 3073, this means there exists an integer k such that:

$k \times 3073 = N$

Conversely, the result of N divided by 3073 is this same integer k (without any remainder):

$k = \frac{N}{3073}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3073 (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 3073 less than 100000):

1 × 3073 = 3073
2 × 3073 = 6146
3 × 3073 = 9219
...
31 × 3073 = 95263
32 × 3073 = 98336