4689
4689 is a odd composite number that follows 4688 and precedes 4690. It is composed of 6 distinct factors: 1, 3, 9, 521, 1563, 4689. Its prime factorization can be written as 3^2 × 521. 4689 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4689 is represented as 1001001010001 in binary and 1251 in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 521) reveals 3 prime building blocks.
Divisible by 2
4689 ends in 9, so it is odd.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
4689 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 27 is a multiple of 9.
Divisible by 10
4689 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 4689 within several notable number theory sequences:
Timeline
Deep dive
How 4689 breaks down
4689 carries 6 distinct factors and a digit signature of 27 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 2097, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001001010001 supports bitwise reasoning, hexadecimal 1251 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4689 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4689 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4684–4694) to tune search ranges, and educators feature 4689 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) help historians, numerologists, and trivia writers tie 4689 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 4689
Is 4689 a prime number?
4689 is composite with 6 total factors and the prime factorization 3^2 × 521.
What is the prime factorization of 4689?
It breaks down as 3^2 × 521, multiplying the primes 3 × 3 × 521.
How is 4689 represented in binary and hexadecimal?
4689 converts to 1001001010001 in binary and 1251 in hexadecimal, which are helpful for computer science applications.
Is 4689 a perfect square, cube, or triangular number?
4689 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4689?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.