3361
3361 is a odd prime number that follows 3360 and precedes 3362. As a prime number, 3361 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3361. 3361 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3361 is represented as 110100100001 in binary and D21 in hexadecimal. Historically, it is written as MMMCCCLXI in Roman numerals.
Factor Analysis
2 FactorsProperties
3361 is prime, so its only factors are 1 and 3361.
Divisible by 2
3361 ends in 1, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 61 are not divisible by 4.
Divisible by 5
3361 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 13 is not a multiple of 9.
Divisible by 10
3361 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 3361 within several notable number theory sequences:
Timeline
Deep dive
How 3361 breaks down
3361 carries 2 distinct factors and a digit signature of 13 (4 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 110100100001 supports bitwise reasoning, hexadecimal D21 aligns with computing notation, and the Roman numeral MMMCCCLXI keeps the encyclopedic tradition alive. These attributes make 3361 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3361 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3356–3366) to tune search ranges, and educators feature 3361 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 3361 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 3361
Is 3361 a prime number?
3361 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3361?
3361 is already prime, so the factorization is simply 3361.
How is 3361 represented in binary and hexadecimal?
3361 converts to 110100100001 in binary and D21 in hexadecimal, which are helpful for computer science applications.
Is 3361 a perfect square, cube, or triangular number?
3361 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3361?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.