4389
4389 is a odd composite number that follows 4388 and precedes 4390. It is composed of 16 distinct factors: 1, 3, 7, 11, 19, 21, 33, 57, 77, 133, 209, 231, 399, 627, 1463, 4389. Its prime factorization can be written as 3 × 7 × 11 × 19. 4389 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4389 is represented as 1000100100101 in binary and 1125 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (3 × 7 × 11 × 19) reveals 4 prime building blocks.
Divisible by 2
4389 ends in 9, so it is odd.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
4389 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 24 is not a multiple of 9.
Divisible by 10
4389 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 4389 within several notable number theory sequences:
Timeline
Deep dive
How 4389 breaks down
4389 carries 16 distinct factors and a digit signature of 24 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 3291, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000100100101 supports bitwise reasoning, hexadecimal 1125 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4389 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4389 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4384–4394) to tune search ranges, and educators feature 4389 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 4389 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 4389
Is 4389 a prime number?
4389 is composite with 16 total factors and the prime factorization 3 × 7 × 11 × 19.
What is the prime factorization of 4389?
It breaks down as 3 × 7 × 11 × 19, multiplying the primes 3 × 7 × 11 × 19.
How is 4389 represented in binary and hexadecimal?
4389 converts to 1000100100101 in binary and 1125 in hexadecimal, which are helpful for computer science applications.
Is 4389 a perfect square, cube, or triangular number?
4389 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4389?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.