3387
3387 is a odd composite number that follows 3386 and precedes 3388. It is composed of 4 distinct factors: 1, 3, 1129, 3387. Its prime factorization can be written as 3 × 1129. 3387 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3387 is represented as 110100111011 in binary and D3B in hexadecimal. Historically, it is written as MMMCCCLXXXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 1129) reveals 2 prime building blocks.
Divisible by 2
3387 ends in 7, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
3387 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 21 is not a multiple of 9.
Divisible by 10
3387 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 3387 within several notable number theory sequences:
Timeline
Deep dive
How 3387 breaks down
3387 carries 4 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 1133, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100111011 supports bitwise reasoning, hexadecimal D3B aligns with computing notation, and the Roman numeral MMMCCCLXXXVII keeps the encyclopedic tradition alive. These attributes make 3387 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3387 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3382–3392) to tune search ranges, and educators feature 3387 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 3387 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 3387
Is 3387 a prime number?
3387 is composite with 4 total factors and the prime factorization 3 × 1129.
What is the prime factorization of 3387?
It breaks down as 3 × 1129, multiplying the primes 3 × 1129.
How is 3387 represented in binary and hexadecimal?
3387 converts to 110100111011 in binary and D3B in hexadecimal, which are helpful for computer science applications.
Is 3387 a perfect square, cube, or triangular number?
3387 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3387?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.