10561

10561 is a natural number that follows 10560 and precedes 10562. In mathematics, it is a composite number and can be factored as 59 × 179, making it a semiprime (the product of two distinct prime numbers). Its divisors are 1, 59, 179, and 10561, four in total.

Both prime factors, 59 and 179, are congruent to 3 modulo 4, which has a consequence for representations as sums of squares: a number with such factors cannot be expressed as a sum of two integer squares. The number is odd and congruent to 1 modulo 4 (since 59 × 179 ≡ 3 × 3 ≡ 1 mod 4).

10561 has simple base representations as well: in binary it is 10100101000001, and in hexadecimal it is 0x2941. The decimal digit sum is 1 + 0 + 5 + 6 + 1 = 13, indicating it is not divisible by 3.

As a concrete example in number theory, 10561 illustrates a semiprime with two distinct prime factors. Such numbers are often used in discussions of factoring algorithms and cryptographic concepts, though 10561 itself is far too small for practical cryptographic use. Beyond its factorization properties, 10561 does not have widely recognized cultural, historical, or scientific associations.