439
439 is a odd prime number that follows 438 and precedes 440. As a prime number, 439 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 439. 439 is classified as a deficient number based on the sum of its proper divisors. In computer science, 439 is represented as 110110111 in binary and 1B7 in hexadecimal. Historically, it is written as CDXXXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
439 is prime, so its only factors are 1 and 439.
Divisible by 2
439 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 39 are not divisible by 4.
Divisible by 5
439 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
439 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 439 within several notable number theory sequences:
Timeline
Deep dive
How 439 breaks down
439 carries 2 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110110111 supports bitwise reasoning, hexadecimal 1B7 aligns with computing notation, and the Roman numeral CDXXXIX keeps the encyclopedic tradition alive. These attributes make 439 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 439 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (434–444) to tune search ranges, and educators feature 439 in worksheets about prime identification. Its binary footprint of length 9 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 439 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 439
Is 439 a prime number?
439 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 439?
439 is already prime, so the factorization is simply 439.
How is 439 represented in binary and hexadecimal?
439 converts to 110110111 in binary and 1B7 in hexadecimal, which are helpful for computer science applications.
Is 439 a perfect square, cube, or triangular number?
439 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 439?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.