8489
8489 is a odd composite number that follows 8488 and precedes 8490. It is composed of 4 distinct factors: 1, 13, 653, 8489. Its prime factorization can be written as 13 × 653. 8489 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8489 is represented as 10000100101001 in binary and 2129 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 653) reveals 2 prime building blocks.
Divisible by 2
8489 ends in 9, so it is odd.
Divisible by 3
The digit sum 29 is not a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
8489 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 29 is not a multiple of 9.
Divisible by 10
8489 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 8489 within several notable number theory sequences:
Timeline
Deep dive
How 8489 breaks down
8489 carries 4 distinct factors and a digit signature of 29 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 667, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10000100101001 supports bitwise reasoning, hexadecimal 2129 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8489 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8489 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8484–8494) to tune search ranges, and educators feature 8489 in worksheets about factor trees. Its binary footprint of length 14 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 8489 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 8489
Is 8489 a prime number?
8489 is composite with 4 total factors and the prime factorization 13 × 653.
What is the prime factorization of 8489?
It breaks down as 13 × 653, multiplying the primes 13 × 653.
How is 8489 represented in binary and hexadecimal?
8489 converts to 10000100101001 in binary and 2129 in hexadecimal, which are helpful for computer science applications.
Is 8489 a perfect square, cube, or triangular number?
8489 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8489?
The digits sum to 29, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.