What are the numbers divisible by 796?

796, 1592, 2388, 3184, 3980, 4776, 5572, 6368, 7164, 7960, 8756, 9552, 10348, 11144, 11940, 12736, 13532, 14328, 15124, 15920, 16716, 17512, 18308, 19104, 19900, 20696, 21492, 22288, 23084, 23880, 24676, 25472, 26268, 27064, 27860, 28656, 29452, 30248, 31044, 31840, 32636, 33432, 34228, 35024, 35820, 36616, 37412, 38208, 39004, 39800, 40596, 41392, 42188, 42984, 43780, 44576, 45372, 46168, 46964, 47760, 48556, 49352, 50148, 50944, 51740, 52536, 53332, 54128, 54924, 55720, 56516, 57312, 58108, 58904, 59700, 60496, 61292, 62088, 62884, 63680, 64476, 65272, 66068, 66864, 67660, 68456, 69252, 70048, 70844, 71640, 72436, 73232, 74028, 74824, 75620, 76416, 77212, 78008, 78804, 79600, 80396, 81192, 81988, 82784, 83580, 84376, 85172, 85968, 86764, 87560, 88356, 89152, 89948, 90744, 91540, 92336, 93132, 93928, 94724, 95520, 96316, 97112, 97908, 98704, 99500

There is a total of 125 numbers (up to 100000) that are divisible by 796.
The sum of these numbers is 6268500.
The arithmetic mean of these numbers is 50148.

How to find the numbers divisible by 796?

Finding all the numbers that can be divided by 796 is essentially the same as searching for the multiples of 796: if a number N is a multiple of 796, then 796 is a divisor of N.

Indeed, if we assume that N is a multiple of 796, this means there exists an integer k such that:

$k \times 796 = N$

Conversely, the result of N divided by 796 is this same integer k (without any remainder):

$k = \frac{N}{796}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 796 (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 796 less than 100000):

1 × 796 = 796
2 × 796 = 1592
3 × 796 = 2388
...
124 × 796 = 98704
125 × 796 = 99500