What are the numbers divisible by 700?

700, 1400, 2100, 2800, 3500, 4200, 4900, 5600, 6300, 7000, 7700, 8400, 9100, 9800, 10500, 11200, 11900, 12600, 13300, 14000, 14700, 15400, 16100, 16800, 17500, 18200, 18900, 19600, 20300, 21000, 21700, 22400, 23100, 23800, 24500, 25200, 25900, 26600, 27300, 28000, 28700, 29400, 30100, 30800, 31500, 32200, 32900, 33600, 34300, 35000, 35700, 36400, 37100, 37800, 38500, 39200, 39900, 40600, 41300, 42000, 42700, 43400, 44100, 44800, 45500, 46200, 46900, 47600, 48300, 49000, 49700, 50400, 51100, 51800, 52500, 53200, 53900, 54600, 55300, 56000, 56700, 57400, 58100, 58800, 59500, 60200, 60900, 61600, 62300, 63000, 63700, 64400, 65100, 65800, 66500, 67200, 67900, 68600, 69300, 70000, 70700, 71400, 72100, 72800, 73500, 74200, 74900, 75600, 76300, 77000, 77700, 78400, 79100, 79800, 80500, 81200, 81900, 82600, 83300, 84000, 84700, 85400, 86100, 86800, 87500, 88200, 88900, 89600, 90300, 91000, 91700, 92400, 93100, 93800, 94500, 95200, 95900, 96600, 97300, 98000, 98700, 99400

There is a total of 142 numbers (up to 100000) that are divisible by 700.
The sum of these numbers is 7107100.
The arithmetic mean of these numbers is 50050.

How to find the numbers divisible by 700?

Finding all the numbers that can be divided by 700 is essentially the same as searching for the multiples of 700: if a number N is a multiple of 700, then 700 is a divisor of N.

Indeed, if we assume that N is a multiple of 700, this means there exists an integer k such that:

$k \times 700 = N$

Conversely, the result of N divided by 700 is this same integer k (without any remainder):

$k = \frac{N}{700}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 700 (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 700 less than 100000):

1 × 700 = 700
2 × 700 = 1400
3 × 700 = 2100
...
141 × 700 = 98700
142 × 700 = 99400