5763

5763 is a natural number that follows 5762 and precedes 5764. It is odd and composite, with a prime factorization of 3 × 17 × 113. Because its prime factors are all distinct, 5763 is squarefree and has exactly eight positive divisors: 1, 3, 17, 113, 51, 339, 1921, and 5763.

In terms of base representations, 5763 equals 0x1683 in hexadecimal and 10110100000011 in binary. It is not a commonly used constant in any standard mathematical table, but it serves as a representative example of a squarefree integer with three distinct prime factors.

Arithmetic properties include a digit sum of 21, which makes 5763 divisible by 3 but not by 9. Consequently, 5763 ≡ 3 (mod 9) and, for another example, 5763 ≡ 2 (mod 7). The number is also deficient since the sum of its proper divisors (1 + 3 + 17 + 113 + 51 + 339 + 1921 = 2445) is less than 5763.

The Euler totient function yields φ(5763) = 3584, calculated as 5763 × (1 − 1/3) × (1 − 1/17) × (1 − 1/113). The sum of all divisors is σ(5763) = 8208. Its divisor structure and totient value illustrate typical properties of a squarefree integer with multiple distinct prime factors.