2962

2962 is a natural number that follows 2961 and precedes 2963. In arithmetic terms, it is an even composite number with prime factorization 2 × 1481, where 1481 is a prime. As a result, its divisors are 1, 2, 1481, and 2962, and its Euler totient is φ(2962) = 1480. Because it is a product of two distinct primes, 2962 is a semiprime.

In various bases, 2962 is represented as 101110010010 in binary, 0o5622 in octal, and 0xB92 in hexadecimal. In Roman numerals it is MMCMLXII, corresponding to 2000 (MM) + 900 (CM) + 60 (LX) + 2 (II). These representations aid in quick conversions and elementary computations.

A notable number-theoretic property is that 2962 can be expressed as a sum of two squares: 2962 = 51^2 + 19^2. This can be derived from its factorization 2 × 1481, where 1481 itself equals 16^2 + 35^2, and the product formula for sums of two squares yields the result.

Overall, 2962 is small but exhibits several typical features of semiprimes: it has exactly four divisors, and its structure as 2 × a prime congruent to 1 mod 4 aligns with representations as sums of two squares. In mathematical contexts, it serves as a straightforward example of a semi-prime and of basic base representations.