What are the numbers divisible by 714?

714, 1428, 2142, 2856, 3570, 4284, 4998, 5712, 6426, 7140, 7854, 8568, 9282, 9996, 10710, 11424, 12138, 12852, 13566, 14280, 14994, 15708, 16422, 17136, 17850, 18564, 19278, 19992, 20706, 21420, 22134, 22848, 23562, 24276, 24990, 25704, 26418, 27132, 27846, 28560, 29274, 29988, 30702, 31416, 32130, 32844, 33558, 34272, 34986, 35700, 36414, 37128, 37842, 38556, 39270, 39984, 40698, 41412, 42126, 42840, 43554, 44268, 44982, 45696, 46410, 47124, 47838, 48552, 49266, 49980, 50694, 51408, 52122, 52836, 53550, 54264, 54978, 55692, 56406, 57120, 57834, 58548, 59262, 59976, 60690, 61404, 62118, 62832, 63546, 64260, 64974, 65688, 66402, 67116, 67830, 68544, 69258, 69972, 70686, 71400, 72114, 72828, 73542, 74256, 74970, 75684, 76398, 77112, 77826, 78540, 79254, 79968, 80682, 81396, 82110, 82824, 83538, 84252, 84966, 85680, 86394, 87108, 87822, 88536, 89250, 89964, 90678, 91392, 92106, 92820, 93534, 94248, 94962, 95676, 96390, 97104, 97818, 98532, 99246, 99960

There is a total of 140 numbers (up to 100000) that are divisible by 714.
The sum of these numbers is 7047180.
The arithmetic mean of these numbers is 50337.

How to find the numbers divisible by 714?

Finding all the numbers that can be divided by 714 is essentially the same as searching for the multiples of 714: if a number N is a multiple of 714, then 714 is a divisor of N.

Indeed, if we assume that N is a multiple of 714, this means there exists an integer k such that:

$k \times 714 = N$

Conversely, the result of N divided by 714 is this same integer k (without any remainder):

$k = \frac{N}{714}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 714 (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 714 less than 100000):

1 × 714 = 714
2 × 714 = 1428
3 × 714 = 2142
...
139 × 714 = 99246
140 × 714 = 99960