4962

4962 is the natural number that follows 4961 and precedes 4963. It is an even composite number with a prime factorization of 4962 = 2 × 3 × 827, where 827 is a prime. Because it is a product of three distinct primes, 4962 is squarefree and has eight divisors: 1, 2, 3, 6, 827, 1654, 2481, and 4962. Its Möbius function value is μ(4962) = −1.

In terms of modular arithmetic, 4962 is divisible by 2 and by 3, but not by 9 or 5. The sum of its digits is 21, so the number is divisible by 3 but not by 9, and it is not a Harshad (Niven) number in base 10 since 4962 is not divisible by 21.

Representations of 4962 include binary 1001101100010₂, octal 11542₈, and hexadecimal 0x1362. The binary form reflects its decomposition as a sum of powers of two (specifically 2^12 + 2^9 + 2^8 + 2^6 + 2^5 + 2^1).

In mathematics, 4962 is a straightforward example of a small, composite, squarefree integer with a simple factorization, used to illustrate divisor structures and base representations without special naming or historical significance.