3011
3011 is a odd prime number that follows 3010 and precedes 3012. As a prime number, 3011 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3011. 3011 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3011 is represented as 101111000011 in binary and BC3 in hexadecimal. Historically, it is written as MMMXI in Roman numerals.
Factor Analysis
2 FactorsProperties
3011 is prime, so its only factors are 1 and 3011.
Divisible by 2
3011 ends in 1, so it is odd.
Divisible by 3
The digit sum 5 is not a multiple of 3.
Divisible by 4
The last two digits 11 are not divisible by 4.
Divisible by 5
3011 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 5 is not a multiple of 9.
Divisible by 10
3011 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 3011 within several notable number theory sequences:
Timeline
Deep dive
How 3011 breaks down
3011 carries 2 distinct factors and a digit signature of 5 (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 101111000011 supports bitwise reasoning, hexadecimal BC3 aligns with computing notation, and the Roman numeral MMMXI keeps the encyclopedic tradition alive. These attributes make 3011 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3011 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3006–3016) to tune search ranges, and educators feature 3011 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 3011 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 3011
Is 3011 a prime number?
3011 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3011?
3011 is already prime, so the factorization is simply 3011.
How is 3011 represented in binary and hexadecimal?
3011 converts to 101111000011 in binary and BC3 in hexadecimal, which are helpful for computer science applications.
Is 3011 a perfect square, cube, or triangular number?
3011 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3011?
The digits sum to 5, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.