What are the numbers divisible by 1014?

1014, 2028, 3042, 4056, 5070, 6084, 7098, 8112, 9126, 10140, 11154, 12168, 13182, 14196, 15210, 16224, 17238, 18252, 19266, 20280, 21294, 22308, 23322, 24336, 25350, 26364, 27378, 28392, 29406, 30420, 31434, 32448, 33462, 34476, 35490, 36504, 37518, 38532, 39546, 40560, 41574, 42588, 43602, 44616, 45630, 46644, 47658, 48672, 49686, 50700, 51714, 52728, 53742, 54756, 55770, 56784, 57798, 58812, 59826, 60840, 61854, 62868, 63882, 64896, 65910, 66924, 67938, 68952, 69966, 70980, 71994, 73008, 74022, 75036, 76050, 77064, 78078, 79092, 80106, 81120, 82134, 83148, 84162, 85176, 86190, 87204, 88218, 89232, 90246, 91260, 92274, 93288, 94302, 95316, 96330, 97344, 98358, 99372

There is a total of 98 numbers (up to 100000) that are divisible by 1014.
The sum of these numbers is 4918914.
The arithmetic mean of these numbers is 50193.

How to find the numbers divisible by 1014?

Finding all the numbers that can be divided by 1014 is essentially the same as searching for the multiples of 1014: if a number N is a multiple of 1014, then 1014 is a divisor of N.

Indeed, if we assume that N is a multiple of 1014, this means there exists an integer k such that:

$k \times 1014 = N$

Conversely, the result of N divided by 1014 is this same integer k (without any remainder):

$k = \frac{N}{1014}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1014 (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 1014 less than 100000):

1 × 1014 = 1014
2 × 1014 = 2028
3 × 1014 = 3042
...
97 × 1014 = 98358
98 × 1014 = 99372