3359

3359 is a natural number that sits between 3358 and 3360. It is an odd integer, and in decimal notation its digit sum is 20.

In mathematics, 3359 is a prime number. It is not divisible by any positive integer other than 1 and itself. Because its square root is approximately 57.9, testing divisibility by primes up to 57 (such as 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, and 53) yields no divisors, establishing its primality. As a prime congruent to 3 modulo 4, it cannot be expressed as a sum of two nonzero squares.

Representations of 3359 in other bases include binary and ternary forms. In base 2, 3359 equals 110100011111. In base 3, it is 111211102_3. Its residue modulo small powers of 2 and 4 places it in classes such as 3 mod 4 and 7 mod 8.

For arithmetic context, 3359 is not a perfect power (neither a square nor a cube) and its square is 11,282,881. Being prime, it has no nontrivial factorization into integers greater than 1 and smaller than itself.

Beyond pure number theory, 3359 may appear as an identifier in catalogues or databases, but it does not carry a widely recognized mathematical or historical designation apart from its status as a prime number.

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