6889
6889 is a odd composite number that follows 6888 and precedes 6890. It is composed of 3 distinct factors: 1, 83, 6889. Its prime factorization can be written as 83^2. 6889 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6889 is represented as 1101011101001 in binary and 1AE9 in hexadecimal. It also belongs to the perfect square sequence.
Factor Analysis
3 FactorsProperties
The prime factorization (83^2) reveals 2 prime building blocks.
Divisible by 2
6889 ends in 9, so it is odd.
Divisible by 3
The digit sum 31 is not a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
6889 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 31 is not a multiple of 9.
Divisible by 10
6889 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 6889 within several notable number theory sequences:
Timeline
Deep dive
How 6889 breaks down
6889 carries 3 distinct factors and a digit signature of 31 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 84, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101011101001 supports bitwise reasoning, hexadecimal 1AE9 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6889 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6889 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6884–6894) to tune search ranges, and educators feature 6889 in worksheets about factor trees. Its binary footprint of length 13 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers, Perfect squares) help historians, numerologists, and trivia writers tie 6889 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 6889
Is 6889 a prime number?
6889 is composite with 3 total factors and the prime factorization 83^2.
What is the prime factorization of 6889?
It breaks down as 83^2, multiplying the primes 83 × 83.
How is 6889 represented in binary and hexadecimal?
6889 converts to 1101011101001 in binary and 1AE9 in hexadecimal, which are helpful for computer science applications.
Is 6889 a perfect square, cube, or triangular number?
6889 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6889?
The digits sum to 31, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.