What are the numbers divisible by 1079?

1079, 2158, 3237, 4316, 5395, 6474, 7553, 8632, 9711, 10790, 11869, 12948, 14027, 15106, 16185, 17264, 18343, 19422, 20501, 21580, 22659, 23738, 24817, 25896, 26975, 28054, 29133, 30212, 31291, 32370, 33449, 34528, 35607, 36686, 37765, 38844, 39923, 41002, 42081, 43160, 44239, 45318, 46397, 47476, 48555, 49634, 50713, 51792, 52871, 53950, 55029, 56108, 57187, 58266, 59345, 60424, 61503, 62582, 63661, 64740, 65819, 66898, 67977, 69056, 70135, 71214, 72293, 73372, 74451, 75530, 76609, 77688, 78767, 79846, 80925, 82004, 83083, 84162, 85241, 86320, 87399, 88478, 89557, 90636, 91715, 92794, 93873, 94952, 96031, 97110, 98189, 99268

There is a total of 92 numbers (up to 100000) that are divisible by 1079.
The sum of these numbers is 4615962.
The arithmetic mean of these numbers is 50173.5.

How to find the numbers divisible by 1079?

Finding all the numbers that can be divided by 1079 is essentially the same as searching for the multiples of 1079: if a number N is a multiple of 1079, then 1079 is a divisor of N.

Indeed, if we assume that N is a multiple of 1079, this means there exists an integer k such that:

$k \times 1079 = N$

Conversely, the result of N divided by 1079 is this same integer k (without any remainder):

$k = \frac{N}{1079}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1079 (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 1079 less than 100000):

1 × 1079 = 1079
2 × 1079 = 2158
3 × 1079 = 3237
...
91 × 1079 = 98189
92 × 1079 = 99268