4489
4489 is a odd composite number that follows 4488 and precedes 4490. It is composed of 3 distinct factors: 1, 67, 4489. Its prime factorization can be written as 67^2. 4489 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4489 is represented as 1000110001001 in binary and 1189 in hexadecimal. It also belongs to the perfect square sequence.
Factor Analysis
3 FactorsProperties
The prime factorization (67^2) reveals 2 prime building blocks.
Divisible by 2
4489 ends in 9, so it is odd.
Divisible by 3
The digit sum 25 is not a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
4489 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 25 is not a multiple of 9.
Divisible by 10
4489 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 4489 within several notable number theory sequences:
Timeline
Deep dive
How 4489 breaks down
4489 carries 3 distinct factors and a digit signature of 25 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 68, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000110001001 supports bitwise reasoning, hexadecimal 1189 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4489 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4489 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4484–4494) to tune search ranges, and educators feature 4489 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 4489 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 4489
Is 4489 a prime number?
4489 is composite with 3 total factors and the prime factorization 67^2.
What is the prime factorization of 4489?
It breaks down as 67^2, multiplying the primes 67 × 67.
How is 4489 represented in binary and hexadecimal?
4489 converts to 1000110001001 in binary and 1189 in hexadecimal, which are helpful for computer science applications.
Is 4489 a perfect square, cube, or triangular number?
4489 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4489?
The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.