6141

6141 is the natural number that follows 6140 and precedes 6142. In mathematics, it is often used as an example to illustrate basic properties of integers and factorization.

The prime factorization of 6141 is 3 × 23 × 89. This makes the number odd and squarefree (no prime factor is repeated). It is divisible by 3 but not by 2 or 5. The sum of its digits is 12, which is divisible by 3, consistent with the factorization.

6141 cannot be expressed as a sum of two squares. This follows from the prime factorization: primes congruent to 3 modulo 4 (such as 3 and 23) appear with odd exponents, which prevents representation as a sum of two squares.

In common positional numeral systems, 6141 is represented as 1011111111101 in binary and as 0x17FD in hexadecimal. Its decimal digits sum to 12, giving a digital root of 3.

Apart from its numerical properties, 6141 is typically encountered as an example in introductory number theory discussions of divisibility, prime factorization, and modular arithmetic. Its status as a product of three distinct primes illustrates how composite numbers can arise from simple prime factors, and it serves as a contrast to primes and powers in teaching contexts.

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