339
339 is a odd composite number that follows 338 and precedes 340. It is composed of 4 distinct factors: 1, 3, 113, 339. Its prime factorization can be written as 3 × 113. 339 is classified as a deficient number based on the sum of its proper divisors. In computer science, 339 is represented as 101010011 in binary and 153 in hexadecimal. Historically, it is written as CCCXXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 113) reveals 2 prime building blocks.
Divisible by 2
339 ends in 9, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 39 are not divisible by 4.
Divisible by 5
339 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 15 is not a multiple of 9.
Divisible by 10
339 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 339 within several notable number theory sequences:
Timeline
Deep dive
How 339 breaks down
339 carries 4 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 117, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010011 supports bitwise reasoning, hexadecimal 153 aligns with computing notation, and the Roman numeral CCCXXXIX keeps the encyclopedic tradition alive. These attributes make 339 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 339 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (334–344) to tune search ranges, and educators feature 339 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 339 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 339
Is 339 a prime number?
339 is composite with 4 total factors and the prime factorization 3 × 113.
What is the prime factorization of 339?
It breaks down as 3 × 113, multiplying the primes 3 × 113.
How is 339 represented in binary and hexadecimal?
339 converts to 101010011 in binary and 153 in hexadecimal, which are helpful for computer science applications.
Is 339 a perfect square, cube, or triangular number?
339 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 339?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.