What are the numbers divisible by 819?

819, 1638, 2457, 3276, 4095, 4914, 5733, 6552, 7371, 8190, 9009, 9828, 10647, 11466, 12285, 13104, 13923, 14742, 15561, 16380, 17199, 18018, 18837, 19656, 20475, 21294, 22113, 22932, 23751, 24570, 25389, 26208, 27027, 27846, 28665, 29484, 30303, 31122, 31941, 32760, 33579, 34398, 35217, 36036, 36855, 37674, 38493, 39312, 40131, 40950, 41769, 42588, 43407, 44226, 45045, 45864, 46683, 47502, 48321, 49140, 49959, 50778, 51597, 52416, 53235, 54054, 54873, 55692, 56511, 57330, 58149, 58968, 59787, 60606, 61425, 62244, 63063, 63882, 64701, 65520, 66339, 67158, 67977, 68796, 69615, 70434, 71253, 72072, 72891, 73710, 74529, 75348, 76167, 76986, 77805, 78624, 79443, 80262, 81081, 81900, 82719, 83538, 84357, 85176, 85995, 86814, 87633, 88452, 89271, 90090, 90909, 91728, 92547, 93366, 94185, 95004, 95823, 96642, 97461, 98280, 99099, 99918

There is a total of 122 numbers (up to 100000) that are divisible by 819.
The sum of these numbers is 6144957.
The arithmetic mean of these numbers is 50368.5.

How to find the numbers divisible by 819?

Finding all the numbers that can be divided by 819 is essentially the same as searching for the multiples of 819: if a number N is a multiple of 819, then 819 is a divisor of N.

Indeed, if we assume that N is a multiple of 819, this means there exists an integer k such that:

$k \times 819 = N$

Conversely, the result of N divided by 819 is this same integer k (without any remainder):

$k = \frac{N}{819}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 819 (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 819 less than 100000):

1 × 819 = 819
2 × 819 = 1638
3 × 819 = 2457
...
121 × 819 = 99099
122 × 819 = 99918