4329
4329 is a odd composite number that follows 4328 and precedes 4330. It is composed of 12 distinct factors: 1, 3, 9, 13, 37, 39, 111, 117, 333, 481, 1443, 4329. Its prime factorization can be written as 3^2 × 13 × 37. 4329 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4329 is represented as 1000011101001 in binary and 10E9 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (3^2 × 13 × 37) reveals 4 prime building blocks.
Divisible by 2
4329 ends in 9, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 29 are not divisible by 4.
Divisible by 5
4329 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 18 is a multiple of 9.
Divisible by 10
4329 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 4329 within several notable number theory sequences:
Timeline
Deep dive
How 4329 breaks down
4329 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 2587, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000011101001 supports bitwise reasoning, hexadecimal 10E9 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4329 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4329 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4324–4334) to tune search ranges, and educators feature 4329 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 4329 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 4329
Is 4329 a prime number?
4329 is composite with 12 total factors and the prime factorization 3^2 × 13 × 37.
What is the prime factorization of 4329?
It breaks down as 3^2 × 13 × 37, multiplying the primes 3 × 3 × 13 × 37.
How is 4329 represented in binary and hexadecimal?
4329 converts to 1000011101001 in binary and 10E9 in hexadecimal, which are helpful for computer science applications.
Is 4329 a perfect square, cube, or triangular number?
4329 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4329?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.