489
489 is a odd composite number that follows 488 and precedes 490. It is composed of 4 distinct factors: 1, 3, 163, 489. Its prime factorization can be written as 3 × 163. 489 is classified as a deficient number based on the sum of its proper divisors. In computer science, 489 is represented as 111101001 in binary and 1E9 in hexadecimal. Historically, it is written as CDLXXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 163) reveals 2 prime building blocks.
Divisible by 2
489 ends in 9, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
489 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 21 is not a multiple of 9.
Divisible by 10
489 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 489 within several notable number theory sequences:
Timeline
Deep dive
How 489 breaks down
489 carries 4 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 167, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111101001 supports bitwise reasoning, hexadecimal 1E9 aligns with computing notation, and the Roman numeral CDLXXXIX keeps the encyclopedic tradition alive. These attributes make 489 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 489 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (484–494) to tune search ranges, and educators feature 489 in worksheets about factor trees. Its binary footprint of length 9 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 489 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 489
Is 489 a prime number?
489 is composite with 4 total factors and the prime factorization 3 × 163.
What is the prime factorization of 489?
It breaks down as 3 × 163, multiplying the primes 3 × 163.
How is 489 represented in binary and hexadecimal?
489 converts to 111101001 in binary and 1E9 in hexadecimal, which are helpful for computer science applications.
Is 489 a perfect square, cube, or triangular number?
489 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 489?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.