Unless you specify the number of digits, the question has no answer. Numbers don't stop.
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No, if you think that you have it, you can always find one that is larger. Take, for example you find an even composite number (all even numbers, except 2 - which is the only even prime, are composite). Call this number N. Now add 2 to N for N+2, which is also even, so it is also a composite. What about odd composites: if you find an odd composite(M), then add 1 to it: odd+odd=even, so M+1 is even, which is also composite. You can keep going forever.
21 is an odd composite number
81 is an odd composite number.
The number 9 is an example of a number that is both odd and composite. An odd number is one that is not divisible by 2, and a composite number is one that has more than two positive divisors. In the case of 9, its divisors are 1, 3, and 9, making it composite as well as odd. Other examples include 15, 21, and 25.
A composite odd number