What are the numbers divisible by 1077?

1077, 2154, 3231, 4308, 5385, 6462, 7539, 8616, 9693, 10770, 11847, 12924, 14001, 15078, 16155, 17232, 18309, 19386, 20463, 21540, 22617, 23694, 24771, 25848, 26925, 28002, 29079, 30156, 31233, 32310, 33387, 34464, 35541, 36618, 37695, 38772, 39849, 40926, 42003, 43080, 44157, 45234, 46311, 47388, 48465, 49542, 50619, 51696, 52773, 53850, 54927, 56004, 57081, 58158, 59235, 60312, 61389, 62466, 63543, 64620, 65697, 66774, 67851, 68928, 70005, 71082, 72159, 73236, 74313, 75390, 76467, 77544, 78621, 79698, 80775, 81852, 82929, 84006, 85083, 86160, 87237, 88314, 89391, 90468, 91545, 92622, 93699, 94776, 95853, 96930, 98007, 99084

There is a total of 92 numbers (up to 100000) that are divisible by 1077.
The sum of these numbers is 4607406.
The arithmetic mean of these numbers is 50080.5.

How to find the numbers divisible by 1077?

Finding all the numbers that can be divided by 1077 is essentially the same as searching for the multiples of 1077: if a number N is a multiple of 1077, then 1077 is a divisor of N.

Indeed, if we assume that N is a multiple of 1077, this means there exists an integer k such that:

$k \times 1077 = N$

Conversely, the result of N divided by 1077 is this same integer k (without any remainder):

$k = \frac{N}{1077}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1077 (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 1077 less than 100000):

1 × 1077 = 1077
2 × 1077 = 2154
3 × 1077 = 3231
...
91 × 1077 = 98007
92 × 1077 = 99084