7663

7663 is a natural number that follows 7662 and precedes 7664. It is an odd composite number in the decimal system.

Mathematically, the prime factorization of 7663 is 79 × 97, with 79 and 97 both prime. This makes 7663 a squarefree semiprime, since it is the product of two distinct primes. Consequently, its divisors are 1, 79, 97, and 7663, and it has exactly four positive divisors. The number is not divisible by 2, 3, or 5, and its digit sum is 22.

In other common representations, 7663 equals 0x1DEF in hexadecimal. Its binary representation is 1110111101111, a 13-bit binary form. The decimal form, hexadecimal, and binary forms are related by standard base conversions used in number theory and computer science.

Basic arithmetic properties include the Euler totient value φ(7663) = (79−1) × (97−1) = 78 × 96 = 7488, and the sum of divisors σ(7663) = (1+79) × (1+97) = 80 × 98 = 7840. The number of positive divisors d(7663) = 4, and the Möbius function μ(7663) = 1, since 7663 is a product of two distinct primes.

Beyond pure arithmetic, 7663 does not have a widely recognized, singular cultural or scientific designation in common reference sources. It is primarily noted for its properties as a composite semiprime and its basic base-representation forms.