27489
27489 is a odd composite number that follows 27488 and precedes 27490. It is composed of 24 distinct factors: 1, 3, 7, 11, 17, 21, 33, 49, 51, 77, 119, 147, 187, 231, 357, 539, 561, 833, 1309, 1617, 2499, 3927, 9163, 27489. Its prime factorization can be written as 3 × 7^2 × 11 × 17. 27489 is classified as a deficient number based on the sum of its proper divisors. In computer science, 27489 is represented as 110101101100001 in binary and 6B61 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (3 × 7^2 × 11 × 17) reveals 5 prime building blocks.
Divisible by 2
27489 ends in 9, so it is odd.
Divisible by 3
The digit sum 30 is a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
27489 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 30 is not a multiple of 9.
Divisible by 10
27489 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 27489 within several notable number theory sequences:
Timeline
Deep dive
How 27489 breaks down
27489 carries 24 distinct factors and a digit signature of 30 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 21759, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101101100001 supports bitwise reasoning, hexadecimal 6B61 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 27489 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 27489 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (27484–27494) to tune search ranges, and educators feature 27489 in worksheets about factor trees. Its binary footprint of length 15 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 27489 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 27489
Is 27489 a prime number?
27489 is composite with 24 total factors and the prime factorization 3 × 7^2 × 11 × 17.
What is the prime factorization of 27489?
It breaks down as 3 × 7^2 × 11 × 17, multiplying the primes 3 × 7 × 7 × 11 × 17.
How is 27489 represented in binary and hexadecimal?
27489 converts to 110101101100001 in binary and 6B61 in hexadecimal, which are helpful for computer science applications.
Is 27489 a perfect square, cube, or triangular number?
27489 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 27489?
The digits sum to 30, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.