What are the numbers divisible by 385?

385, 770, 1155, 1540, 1925, 2310, 2695, 3080, 3465, 3850, 4235, 4620, 5005, 5390, 5775, 6160, 6545, 6930, 7315, 7700, 8085, 8470, 8855, 9240, 9625, 10010, 10395, 10780, 11165, 11550, 11935, 12320, 12705, 13090, 13475, 13860, 14245, 14630, 15015, 15400, 15785, 16170, 16555, 16940, 17325, 17710, 18095, 18480, 18865, 19250, 19635, 20020, 20405, 20790, 21175, 21560, 21945, 22330, 22715, 23100, 23485, 23870, 24255, 24640, 25025, 25410, 25795, 26180, 26565, 26950, 27335, 27720, 28105, 28490, 28875, 29260, 29645, 30030, 30415, 30800, 31185, 31570, 31955, 32340, 32725, 33110, 33495, 33880, 34265, 34650, 35035, 35420, 35805, 36190, 36575, 36960, 37345, 37730, 38115, 38500, 38885, 39270, 39655, 40040, 40425, 40810, 41195, 41580, 41965, 42350, 42735, 43120, 43505, 43890, 44275, 44660, 45045, 45430, 45815, 46200, 46585, 46970, 47355, 47740, 48125, 48510, 48895, 49280, 49665, 50050, 50435, 50820, 51205, 51590, 51975, 52360, 52745, 53130, 53515, 53900, 54285, 54670, 55055, 55440, 55825, 56210, 56595, 56980, 57365, 57750, 58135, 58520, 58905, 59290, 59675, 60060, 60445, 60830, 61215, 61600, 61985, 62370, 62755, 63140, 63525, 63910, 64295, 64680, 65065, 65450, 65835, 66220, 66605, 66990, 67375, 67760, 68145, 68530, 68915, 69300, 69685, 70070, 70455, 70840, 71225, 71610, 71995, 72380, 72765, 73150, 73535, 73920, 74305, 74690, 75075, 75460, 75845, 76230, 76615, 77000, 77385, 77770, 78155, 78540, 78925, 79310, 79695, 80080, 80465, 80850, 81235, 81620, 82005, 82390, 82775, 83160, 83545, 83930, 84315, 84700, 85085, 85470, 85855, 86240, 86625, 87010, 87395, 87780, 88165, 88550, 88935, 89320, 89705, 90090, 90475, 90860, 91245, 91630, 92015, 92400, 92785, 93170, 93555, 93940, 94325, 94710, 95095, 95480, 95865, 96250, 96635, 97020, 97405, 97790, 98175, 98560, 98945, 99330, 99715

There is a total of 259 numbers (up to 100000) that are divisible by 385.
The sum of these numbers is 12962950.
The arithmetic mean of these numbers is 50050.

How to find the numbers divisible by 385?

Finding all the numbers that can be divided by 385 is essentially the same as searching for the multiples of 385: if a number N is a multiple of 385, then 385 is a divisor of N.

Indeed, if we assume that N is a multiple of 385, this means there exists an integer k such that:

$k \times 385 = N$

Conversely, the result of N divided by 385 is this same integer k (without any remainder):

$k = \frac{N}{385}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 385 (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 385 less than 100000):

1 × 385 = 385
2 × 385 = 770
3 × 385 = 1155
...
258 × 385 = 99330
259 × 385 = 99715