2011
2011 is a odd prime number that follows 2010 and precedes 2012. As a prime number, 2011 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2011. 2011 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2011 is represented as 11111011011 in binary and 7DB in hexadecimal. Historically, it is written as MMXI in Roman numerals.
Factor Analysis
2 FactorsProperties
2011 is prime, so its only factors are 1 and 2011.
Divisible by 2
2011 ends in 1, so it is odd.
Divisible by 3
The digit sum 4 is not a multiple of 3.
Divisible by 4
The last two digits 11 are not divisible by 4.
Divisible by 5
2011 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 4 is not a multiple of 9.
Divisible by 10
2011 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 2011 within several notable number theory sequences:
Timeline
Deep dive
How 2011 breaks down
2011 carries 2 distinct factors and a digit signature of 4 (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 11111011011 supports bitwise reasoning, hexadecimal 7DB aligns with computing notation, and the Roman numeral MMXI keeps the encyclopedic tradition alive. These attributes make 2011 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2011 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2006–2016) to tune search ranges, and educators feature 2011 in worksheets about prime identification. Its binary footprint of length 11 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 2011 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 2011
Is 2011 a prime number?
2011 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2011?
2011 is already prime, so the factorization is simply 2011.
How is 2011 represented in binary and hexadecimal?
2011 converts to 11111011011 in binary and 7DB in hexadecimal, which are helpful for computer science applications.
Is 2011 a perfect square, cube, or triangular number?
2011 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2011?
The digits sum to 4, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.