What are the numbers divisible by 1078?

1078, 2156, 3234, 4312, 5390, 6468, 7546, 8624, 9702, 10780, 11858, 12936, 14014, 15092, 16170, 17248, 18326, 19404, 20482, 21560, 22638, 23716, 24794, 25872, 26950, 28028, 29106, 30184, 31262, 32340, 33418, 34496, 35574, 36652, 37730, 38808, 39886, 40964, 42042, 43120, 44198, 45276, 46354, 47432, 48510, 49588, 50666, 51744, 52822, 53900, 54978, 56056, 57134, 58212, 59290, 60368, 61446, 62524, 63602, 64680, 65758, 66836, 67914, 68992, 70070, 71148, 72226, 73304, 74382, 75460, 76538, 77616, 78694, 79772, 80850, 81928, 83006, 84084, 85162, 86240, 87318, 88396, 89474, 90552, 91630, 92708, 93786, 94864, 95942, 97020, 98098, 99176

There is a total of 92 numbers (up to 100000) that are divisible by 1078.
The sum of these numbers is 4611684.
The arithmetic mean of these numbers is 50127.

How to find the numbers divisible by 1078?

Finding all the numbers that can be divided by 1078 is essentially the same as searching for the multiples of 1078: if a number N is a multiple of 1078, then 1078 is a divisor of N.

Indeed, if we assume that N is a multiple of 1078, this means there exists an integer k such that:

$k \times 1078 = N$

Conversely, the result of N divided by 1078 is this same integer k (without any remainder):

$k = \frac{N}{1078}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1078 (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 1078 less than 100000):

1 × 1078 = 1078
2 × 1078 = 2156
3 × 1078 = 3234
...
91 × 1078 = 98098
92 × 1078 = 99176