What are the numbers divisible by 958?

958, 1916, 2874, 3832, 4790, 5748, 6706, 7664, 8622, 9580, 10538, 11496, 12454, 13412, 14370, 15328, 16286, 17244, 18202, 19160, 20118, 21076, 22034, 22992, 23950, 24908, 25866, 26824, 27782, 28740, 29698, 30656, 31614, 32572, 33530, 34488, 35446, 36404, 37362, 38320, 39278, 40236, 41194, 42152, 43110, 44068, 45026, 45984, 46942, 47900, 48858, 49816, 50774, 51732, 52690, 53648, 54606, 55564, 56522, 57480, 58438, 59396, 60354, 61312, 62270, 63228, 64186, 65144, 66102, 67060, 68018, 68976, 69934, 70892, 71850, 72808, 73766, 74724, 75682, 76640, 77598, 78556, 79514, 80472, 81430, 82388, 83346, 84304, 85262, 86220, 87178, 88136, 89094, 90052, 91010, 91968, 92926, 93884, 94842, 95800, 96758, 97716, 98674, 99632

There is a total of 104 numbers (up to 100000) that are divisible by 958.
The sum of these numbers is 5230680.
The arithmetic mean of these numbers is 50295.

How to find the numbers divisible by 958?

Finding all the numbers that can be divided by 958 is essentially the same as searching for the multiples of 958: if a number N is a multiple of 958, then 958 is a divisor of N.

Indeed, if we assume that N is a multiple of 958, this means there exists an integer k such that:

$k \times 958 = N$

Conversely, the result of N divided by 958 is this same integer k (without any remainder):

$k = \frac{N}{958}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 958 (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 958 less than 100000):

1 × 958 = 958
2 × 958 = 1916
3 × 958 = 2874
...
103 × 958 = 98674
104 × 958 = 99632