What are the numbers divisible by 1030?

1030, 2060, 3090, 4120, 5150, 6180, 7210, 8240, 9270, 10300, 11330, 12360, 13390, 14420, 15450, 16480, 17510, 18540, 19570, 20600, 21630, 22660, 23690, 24720, 25750, 26780, 27810, 28840, 29870, 30900, 31930, 32960, 33990, 35020, 36050, 37080, 38110, 39140, 40170, 41200, 42230, 43260, 44290, 45320, 46350, 47380, 48410, 49440, 50470, 51500, 52530, 53560, 54590, 55620, 56650, 57680, 58710, 59740, 60770, 61800, 62830, 63860, 64890, 65920, 66950, 67980, 69010, 70040, 71070, 72100, 73130, 74160, 75190, 76220, 77250, 78280, 79310, 80340, 81370, 82400, 83430, 84460, 85490, 86520, 87550, 88580, 89610, 90640, 91670, 92700, 93730, 94760, 95790, 96820, 97850, 98880, 99910

There is a total of 97 numbers (up to 100000) that are divisible by 1030.
The sum of these numbers is 4895590.
The arithmetic mean of these numbers is 50470.

How to find the numbers divisible by 1030?

Finding all the numbers that can be divided by 1030 is essentially the same as searching for the multiples of 1030: if a number N is a multiple of 1030, then 1030 is a divisor of N.

Indeed, if we assume that N is a multiple of 1030, this means there exists an integer k such that:

$k \times 1030 = N$

Conversely, the result of N divided by 1030 is this same integer k (without any remainder):

$k = \frac{N}{1030}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1030 (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 1030 less than 100000):

1 × 1030 = 1030
2 × 1030 = 2060
3 × 1030 = 3090
...
96 × 1030 = 98880
97 × 1030 = 99910