4935

4935 is a natural number that follows 4934 and precedes 4936. In mathematics, it is a composite number with prime factorization 3 × 5 × 7 × 47.

Divisibility and basic properties: since its digit sum is 21, 4935 is divisible by 3; it ends in 5, so it is divisible by 5; it is also divisible by 7 (4935 ÷ 7 = 705) and by 47 (4935 ÷ 47 = 105). The full factorization is 3 × 5 × 7 × 47. It is not a prime, square, or cube. As a base-10 number, it is a Harshad (Niven) number because it is divisible by the sum of its digits (21), giving 235.

Representation in other bases: in binary, 4935 is 1001101000111. In hexadecimal, it is 0x1347.

Divisors and multiplicative structure: the divisors of 4935 are 1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645, and 4935, totaling 16 divisors. The Euler totient function yields φ(4935) = 2208, and the sum of all divisors is σ(4935) = 9216, so the sum of proper divisors is 9216 − 4935 = 4281, which is less than 4935, making 4935 a deficient number.

In summary, 4935 is a composite, non-square number with a straightforward prime factorization, multiple divisors, and standard arithmetic properties that illustrate common features of numbers with several distinct prime factors.

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