What are the numbers divisible by 696?

696, 1392, 2088, 2784, 3480, 4176, 4872, 5568, 6264, 6960, 7656, 8352, 9048, 9744, 10440, 11136, 11832, 12528, 13224, 13920, 14616, 15312, 16008, 16704, 17400, 18096, 18792, 19488, 20184, 20880, 21576, 22272, 22968, 23664, 24360, 25056, 25752, 26448, 27144, 27840, 28536, 29232, 29928, 30624, 31320, 32016, 32712, 33408, 34104, 34800, 35496, 36192, 36888, 37584, 38280, 38976, 39672, 40368, 41064, 41760, 42456, 43152, 43848, 44544, 45240, 45936, 46632, 47328, 48024, 48720, 49416, 50112, 50808, 51504, 52200, 52896, 53592, 54288, 54984, 55680, 56376, 57072, 57768, 58464, 59160, 59856, 60552, 61248, 61944, 62640, 63336, 64032, 64728, 65424, 66120, 66816, 67512, 68208, 68904, 69600, 70296, 70992, 71688, 72384, 73080, 73776, 74472, 75168, 75864, 76560, 77256, 77952, 78648, 79344, 80040, 80736, 81432, 82128, 82824, 83520, 84216, 84912, 85608, 86304, 87000, 87696, 88392, 89088, 89784, 90480, 91176, 91872, 92568, 93264, 93960, 94656, 95352, 96048, 96744, 97440, 98136, 98832, 99528

There is a total of 143 numbers (up to 100000) that are divisible by 696.
The sum of these numbers is 7166016.
The arithmetic mean of these numbers is 50112.

How to find the numbers divisible by 696?

Finding all the numbers that can be divided by 696 is essentially the same as searching for the multiples of 696: if a number N is a multiple of 696, then 696 is a divisor of N.

Indeed, if we assume that N is a multiple of 696, this means there exists an integer k such that:

$k \times 696 = N$

Conversely, the result of N divided by 696 is this same integer k (without any remainder):

$k = \frac{N}{696}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 696 (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 696 less than 100000):

1 × 696 = 696
2 × 696 = 1392
3 × 696 = 2088
...
142 × 696 = 98832
143 × 696 = 99528