What are the numbers divisible by 1058?

1058, 2116, 3174, 4232, 5290, 6348, 7406, 8464, 9522, 10580, 11638, 12696, 13754, 14812, 15870, 16928, 17986, 19044, 20102, 21160, 22218, 23276, 24334, 25392, 26450, 27508, 28566, 29624, 30682, 31740, 32798, 33856, 34914, 35972, 37030, 38088, 39146, 40204, 41262, 42320, 43378, 44436, 45494, 46552, 47610, 48668, 49726, 50784, 51842, 52900, 53958, 55016, 56074, 57132, 58190, 59248, 60306, 61364, 62422, 63480, 64538, 65596, 66654, 67712, 68770, 69828, 70886, 71944, 73002, 74060, 75118, 76176, 77234, 78292, 79350, 80408, 81466, 82524, 83582, 84640, 85698, 86756, 87814, 88872, 89930, 90988, 92046, 93104, 94162, 95220, 96278, 97336, 98394, 99452

There is a total of 94 numbers (up to 100000) that are divisible by 1058.
The sum of these numbers is 4723970.
The arithmetic mean of these numbers is 50255.

How to find the numbers divisible by 1058?

Finding all the numbers that can be divided by 1058 is essentially the same as searching for the multiples of 1058: if a number N is a multiple of 1058, then 1058 is a divisor of N.

Indeed, if we assume that N is a multiple of 1058, this means there exists an integer k such that:

$k \times 1058 = N$

Conversely, the result of N divided by 1058 is this same integer k (without any remainder):

$k = \frac{N}{1058}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1058 (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 1058 less than 100000):

1 × 1058 = 1058
2 × 1058 = 2116
3 × 1058 = 3174
...
93 × 1058 = 98394
94 × 1058 = 99452