2977

2977 is a positive integer notable in elementary number theory as an odd semiprime. It factors as 2977 = 13 × 229, with both factors prime. The divisors of 2977 are exactly 1, 13, 229, and 2977, giving it four positive divisors.

Because it is the product of two primes, 2977 is composite but not a square. Its parity is odd, and it is congruent to 1 modulo 4 (since 2977 mod 4 equals 1), a property that is connected to its representation as a sum of two squares.

A specific representation as a sum of two squares is 2977 = 36^2 + 41^2 (since 36^2 = 1296 and 41^2 = 1681, totaling 2977). In general, a product of two primes each congruent to 1 modulo 4 can be expressed as a sum of two squares, and this representation is unique up to sign and order for such numbers.

Other arithmetic consequences follow from its factorization: Euler’s totient function yields φ(2977) = (13 − 1)(229 − 1) = 12 × 228 = 2736, and the number of divisors is (1 + 1)(1 + 1) = 4.

In summary, 2977 is an odd semiprime with a clear factorization, a sum-of-two-squares representation, and standard divisor-related properties typical of products of distinct primes.