8661

8661 is a natural number that follows 8660 and precedes 8662. In mathematics, it has several straightforward yet notable properties that can be described without reference to any broader context.

Factorization and prime status: 8661 factors as 3 times 2887, so 8661 = 3 × 2887. The number 2887 is prime, which makes 8661 a semiprime (the product of two primes, 3 and 2887).

Parity, divisibility, and quick representations: 8661 is odd. The sum of its digits is 8+6+6+1 = 21, which is divisible by 3, confirming that 8661 is divisible by 3 (quotient 2887). It is not divisible by 5, and it is not a multiple of 9 or 27. In binary, 8661 is 10000111010101_2, and in hexadecimal it is 0x21D5.

Sum of two squares and related properties: Because 8661 has prime factors 3 and 2887, both congruent to 3 mod 4, each with odd exponent, 8661 cannot be expressed as a sum of two integer squares. It is also not a Harshad (Niven) number, since 8661 is not divisible by the sum of its digits (21).

Overview: Beyond its simple factorization and base representations, 8661 serves as an example of a small semiprime and illustrates how prime factors influence various number-theoretic properties.