3399
3399 is a odd composite number that follows 3398 and precedes 3400. It is composed of 8 distinct factors: 1, 3, 11, 33, 103, 309, 1133, 3399. Its prime factorization can be written as 3 × 11 × 103. 3399 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3399 is represented as 110101000111 in binary and D47 in hexadecimal. Historically, it is written as MMMCCCXCIX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 11 × 103) reveals 3 prime building blocks.
Divisible by 2
3399 ends in 9, so it is odd.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 99 are not divisible by 4.
Divisible by 5
3399 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 24 is not a multiple of 9.
Divisible by 10
3399 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 3399 within several notable number theory sequences:
Timeline
Deep dive
How 3399 breaks down
3399 carries 8 distinct factors and a digit signature of 24 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 1593, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101000111 supports bitwise reasoning, hexadecimal D47 aligns with computing notation, and the Roman numeral MMMCCCXCIX keeps the encyclopedic tradition alive. These attributes make 3399 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3399 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3394–3404) to tune search ranges, and educators feature 3399 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 3399 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 3399
Is 3399 a prime number?
3399 is composite with 8 total factors and the prime factorization 3 × 11 × 103.
What is the prime factorization of 3399?
It breaks down as 3 × 11 × 103, multiplying the primes 3 × 11 × 103.
How is 3399 represented in binary and hexadecimal?
3399 converts to 110101000111 in binary and D47 in hexadecimal, which are helpful for computer science applications.
Is 3399 a perfect square, cube, or triangular number?
3399 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3399?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.