4309
4309 is a odd composite number that follows 4308 and precedes 4310. It is composed of 4 distinct factors: 1, 31, 139, 4309. Its prime factorization can be written as 31 × 139. 4309 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4309 is represented as 1000011010101 in binary and 10D5 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (31 × 139) reveals 2 prime building blocks.
Divisible by 2
4309 ends in 9, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 09 are not divisible by 4.
Divisible by 5
4309 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 16 is not a multiple of 9.
Divisible by 10
4309 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Deficient classification and digit analytics place 4309 within several notable number theory sequences:
Timeline
Deep dive
How 4309 breaks down
4309 carries 4 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 171, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000011010101 supports bitwise reasoning, hexadecimal 10D5 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4309 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4309 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4304–4314) to tune search ranges, and educators feature 4309 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 4309 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 4309
Is 4309 a prime number?
4309 is composite with 4 total factors and the prime factorization 31 × 139.
What is the prime factorization of 4309?
It breaks down as 31 × 139, multiplying the primes 31 × 139.
How is 4309 represented in binary and hexadecimal?
4309 converts to 1000011010101 in binary and 10D5 in hexadecimal, which are helpful for computer science applications.
Is 4309 a perfect square, cube, or triangular number?
4309 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4309?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.