What are the numbers divisible by 797?

797, 1594, 2391, 3188, 3985, 4782, 5579, 6376, 7173, 7970, 8767, 9564, 10361, 11158, 11955, 12752, 13549, 14346, 15143, 15940, 16737, 17534, 18331, 19128, 19925, 20722, 21519, 22316, 23113, 23910, 24707, 25504, 26301, 27098, 27895, 28692, 29489, 30286, 31083, 31880, 32677, 33474, 34271, 35068, 35865, 36662, 37459, 38256, 39053, 39850, 40647, 41444, 42241, 43038, 43835, 44632, 45429, 46226, 47023, 47820, 48617, 49414, 50211, 51008, 51805, 52602, 53399, 54196, 54993, 55790, 56587, 57384, 58181, 58978, 59775, 60572, 61369, 62166, 62963, 63760, 64557, 65354, 66151, 66948, 67745, 68542, 69339, 70136, 70933, 71730, 72527, 73324, 74121, 74918, 75715, 76512, 77309, 78106, 78903, 79700, 80497, 81294, 82091, 82888, 83685, 84482, 85279, 86076, 86873, 87670, 88467, 89264, 90061, 90858, 91655, 92452, 93249, 94046, 94843, 95640, 96437, 97234, 98031, 98828, 99625

There is a total of 125 numbers (up to 100000) that are divisible by 797.
The sum of these numbers is 6276375.
The arithmetic mean of these numbers is 50211.

How to find the numbers divisible by 797?

Finding all the numbers that can be divided by 797 is essentially the same as searching for the multiples of 797: if a number N is a multiple of 797, then 797 is a divisor of N.

Indeed, if we assume that N is a multiple of 797, this means there exists an integer k such that:

$k \times 797 = N$

Conversely, the result of N divided by 797 is this same integer k (without any remainder):

$k = \frac{N}{797}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 797 (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 797 less than 100000):

1 × 797 = 797
2 × 797 = 1594
3 × 797 = 2391
...
124 × 797 = 98828
125 × 797 = 99625