4946

4946 is the natural number that follows 4945 and precedes 4947. It is an even composite number with prime factorization 2 × 2473, where 2473 is prime.

Its divisors are 1, 2, 2473, and 4946. The sum of its digits is 23, so it is not divisible by 3 or 9; it is not a multiple of 5. Like many even numbers, it is not prime and has a small set of divisors.

In modular arithmetic, 4946 ≡ 2 mod 4, which implies it cannot be expressed as a difference of two squares. This is a characteristic of numbers congruent to 2 modulo 4.

In base representations, 4946 is represented as follows: binary 1001101010010, octal 11522, and hexadecimal 0x1352.

It can be expressed as a sum of two squares: 4946 = 61^2 + 35^2. This aligns with the fact that in its prime factorization, all primes congruent to 3 mod 4 have even exponents (there are none besides 2 and 2473, with 2473 ≡ 1 mod 4), allowing such a representation.

As a number, 4946 is deficient, since the sum of its proper divisors (1 + 2 + 2473 = 2476) is less than 4946. There is no widely noted historical or scientific significance attributed to 4946 beyond these mathematical properties.