no
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If n is the first number, n + n + 1 + n + 2 + n + 3 will be the sum, which is 4n + 6. 4n is always even, and 6 is even. Therefore, the sum of four consecutive numbers is always even.
They will always add up to another even number.
Nop. 2+2+2+4=10
You add 3 to 4 to get 7, therefore the numbers will always be a multiple of 3
There are 7200 such numbers.