What are the numbers divisible by 745?

745, 1490, 2235, 2980, 3725, 4470, 5215, 5960, 6705, 7450, 8195, 8940, 9685, 10430, 11175, 11920, 12665, 13410, 14155, 14900, 15645, 16390, 17135, 17880, 18625, 19370, 20115, 20860, 21605, 22350, 23095, 23840, 24585, 25330, 26075, 26820, 27565, 28310, 29055, 29800, 30545, 31290, 32035, 32780, 33525, 34270, 35015, 35760, 36505, 37250, 37995, 38740, 39485, 40230, 40975, 41720, 42465, 43210, 43955, 44700, 45445, 46190, 46935, 47680, 48425, 49170, 49915, 50660, 51405, 52150, 52895, 53640, 54385, 55130, 55875, 56620, 57365, 58110, 58855, 59600, 60345, 61090, 61835, 62580, 63325, 64070, 64815, 65560, 66305, 67050, 67795, 68540, 69285, 70030, 70775, 71520, 72265, 73010, 73755, 74500, 75245, 75990, 76735, 77480, 78225, 78970, 79715, 80460, 81205, 81950, 82695, 83440, 84185, 84930, 85675, 86420, 87165, 87910, 88655, 89400, 90145, 90890, 91635, 92380, 93125, 93870, 94615, 95360, 96105, 96850, 97595, 98340, 99085, 99830

There is a total of 134 numbers (up to 100000) that are divisible by 745.
The sum of these numbers is 6738525.
The arithmetic mean of these numbers is 50287.5.

How to find the numbers divisible by 745?

Finding all the numbers that can be divided by 745 is essentially the same as searching for the multiples of 745: if a number N is a multiple of 745, then 745 is a divisor of N.

Indeed, if we assume that N is a multiple of 745, this means there exists an integer k such that:

$k \times 745 = N$

Conversely, the result of N divided by 745 is this same integer k (without any remainder):

$k = \frac{N}{745}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 745 (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 745 less than 100000):

1 × 745 = 745
2 × 745 = 1490
3 × 745 = 2235
...
133 × 745 = 99085
134 × 745 = 99830