3439
3439 is a odd composite number that follows 3438 and precedes 3440. It is composed of 4 distinct factors: 1, 19, 181, 3439. Its prime factorization can be written as 19 × 181. 3439 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3439 is represented as 110101101111 in binary and D6F in hexadecimal. Historically, it is written as MMMCDXXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (19 × 181) reveals 2 prime building blocks.
Divisible by 2
3439 ends in 9, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 39 are not divisible by 4.
Divisible by 5
3439 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 19 is not a multiple of 9.
Divisible by 10
3439 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 3439 within several notable number theory sequences:
Timeline
Deep dive
How 3439 breaks down
3439 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 201, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101101111 supports bitwise reasoning, hexadecimal D6F aligns with computing notation, and the Roman numeral MMMCDXXXIX keeps the encyclopedic tradition alive. These attributes make 3439 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3439 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3434–3444) to tune search ranges, and educators feature 3439 in worksheets about factor trees. Its binary footprint of length 12 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 3439 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 3439
Is 3439 a prime number?
3439 is composite with 4 total factors and the prime factorization 19 × 181.
What is the prime factorization of 3439?
It breaks down as 19 × 181, multiplying the primes 19 × 181.
How is 3439 represented in binary and hexadecimal?
3439 converts to 110101101111 in binary and D6F in hexadecimal, which are helpful for computer science applications.
Is 3439 a perfect square, cube, or triangular number?
3439 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3439?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.