What are the numbers divisible by 395?

395, 790, 1185, 1580, 1975, 2370, 2765, 3160, 3555, 3950, 4345, 4740, 5135, 5530, 5925, 6320, 6715, 7110, 7505, 7900, 8295, 8690, 9085, 9480, 9875, 10270, 10665, 11060, 11455, 11850, 12245, 12640, 13035, 13430, 13825, 14220, 14615, 15010, 15405, 15800, 16195, 16590, 16985, 17380, 17775, 18170, 18565, 18960, 19355, 19750, 20145, 20540, 20935, 21330, 21725, 22120, 22515, 22910, 23305, 23700, 24095, 24490, 24885, 25280, 25675, 26070, 26465, 26860, 27255, 27650, 28045, 28440, 28835, 29230, 29625, 30020, 30415, 30810, 31205, 31600, 31995, 32390, 32785, 33180, 33575, 33970, 34365, 34760, 35155, 35550, 35945, 36340, 36735, 37130, 37525, 37920, 38315, 38710, 39105, 39500, 39895, 40290, 40685, 41080, 41475, 41870, 42265, 42660, 43055, 43450, 43845, 44240, 44635, 45030, 45425, 45820, 46215, 46610, 47005, 47400, 47795, 48190, 48585, 48980, 49375, 49770, 50165, 50560, 50955, 51350, 51745, 52140, 52535, 52930, 53325, 53720, 54115, 54510, 54905, 55300, 55695, 56090, 56485, 56880, 57275, 57670, 58065, 58460, 58855, 59250, 59645, 60040, 60435, 60830, 61225, 61620, 62015, 62410, 62805, 63200, 63595, 63990, 64385, 64780, 65175, 65570, 65965, 66360, 66755, 67150, 67545, 67940, 68335, 68730, 69125, 69520, 69915, 70310, 70705, 71100, 71495, 71890, 72285, 72680, 73075, 73470, 73865, 74260, 74655, 75050, 75445, 75840, 76235, 76630, 77025, 77420, 77815, 78210, 78605, 79000, 79395, 79790, 80185, 80580, 80975, 81370, 81765, 82160, 82555, 82950, 83345, 83740, 84135, 84530, 84925, 85320, 85715, 86110, 86505, 86900, 87295, 87690, 88085, 88480, 88875, 89270, 89665, 90060, 90455, 90850, 91245, 91640, 92035, 92430, 92825, 93220, 93615, 94010, 94405, 94800, 95195, 95590, 95985, 96380, 96775, 97170, 97565, 97960, 98355, 98750, 99145, 99540, 99935

There is a total of 253 numbers (up to 100000) that are divisible by 395.
The sum of these numbers is 12691745.
The arithmetic mean of these numbers is 50165.

How to find the numbers divisible by 395?

Finding all the numbers that can be divided by 395 is essentially the same as searching for the multiples of 395: if a number N is a multiple of 395, then 395 is a divisor of N.

Indeed, if we assume that N is a multiple of 395, this means there exists an integer k such that:

$k \times 395 = N$

Conversely, the result of N divided by 395 is this same integer k (without any remainder):

$k = \frac{N}{395}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 395 (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 395 less than 100000):

1 × 395 = 395
2 × 395 = 790
3 × 395 = 1185
...
252 × 395 = 99540
253 × 395 = 99935