3389
3389 is a odd prime number that follows 3388 and precedes 3390. As a prime number, 3389 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3389. 3389 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3389 is represented as 110100111101 in binary and D3D in hexadecimal. Historically, it is written as MMMCCCLXXXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
3389 is prime, so its only factors are 1 and 3389.
Divisible by 2
3389 ends in 9, so it is odd.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
3389 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 23 is not a multiple of 9.
Divisible by 10
3389 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 3389 within several notable number theory sequences:
Timeline
Deep dive
How 3389 breaks down
3389 carries 2 distinct factors and a digit signature of 23 (5 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 110100111101 supports bitwise reasoning, hexadecimal D3D aligns with computing notation, and the Roman numeral MMMCCCLXXXIX keeps the encyclopedic tradition alive. These attributes make 3389 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3389 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3384–3394) to tune search ranges, and educators feature 3389 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 3389 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 3389
Is 3389 a prime number?
3389 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3389?
3389 is already prime, so the factorization is simply 3389.
How is 3389 represented in binary and hexadecimal?
3389 converts to 110100111101 in binary and D3D in hexadecimal, which are helpful for computer science applications.
Is 3389 a perfect square, cube, or triangular number?
3389 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3389?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.