3331
3331 is a odd prime number that follows 3330 and precedes 3332. As a prime number, 3331 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3331. 3331 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3331 is represented as 110100000011 in binary and D03 in hexadecimal. Historically, it is written as MMMCCCXXXI in Roman numerals.
Factor Analysis
2 FactorsProperties
3331 is prime, so its only factors are 1 and 3331.
Divisible by 2
3331 ends in 1, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 31 are not divisible by 4.
Divisible by 5
3331 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 10 is not a multiple of 9.
Divisible by 10
3331 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 3331 within several notable number theory sequences:
Timeline
Deep dive
How 3331 breaks down
3331 carries 2 distinct factors and a digit signature of 10 (1 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 110100000011 supports bitwise reasoning, hexadecimal D03 aligns with computing notation, and the Roman numeral MMMCCCXXXI keeps the encyclopedic tradition alive. These attributes make 3331 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3331 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3326–3336) to tune search ranges, and educators feature 3331 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 3331 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 3331
Is 3331 a prime number?
3331 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3331?
3331 is already prime, so the factorization is simply 3331.
How is 3331 represented in binary and hexadecimal?
3331 converts to 110100000011 in binary and D03 in hexadecimal, which are helpful for computer science applications.
Is 3331 a perfect square, cube, or triangular number?
3331 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3331?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.