211
211 is a odd prime number that follows 210 and precedes 212. As a prime number, 211 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 211. 211 is classified as a deficient number based on the sum of its proper divisors. In computer science, 211 is represented as 11010011 in binary and D3 in hexadecimal. Historically, it is written as CCXI in Roman numerals.
Factor Analysis
2 FactorsProperties
211 is prime, so its only factors are 1 and 211.
Divisible by 2
211 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
211 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
211 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 211 within several notable number theory sequences:
Timeline
Deep dive
How 211 breaks down
211 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 11010011 supports bitwise reasoning, hexadecimal D3 aligns with computing notation, and the Roman numeral CCXI keeps the encyclopedic tradition alive. These attributes make 211 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 211 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (206–216) to tune search ranges, and educators feature 211 in worksheets about prime identification. Its binary footprint of length 8 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 211 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 211
Is 211 a prime number?
211 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 211?
211 is already prime, so the factorization is simply 211.
How is 211 represented in binary and hexadecimal?
211 converts to 11010011 in binary and D3 in hexadecimal, which are helpful for computer science applications.
Is 211 a perfect square, cube, or triangular number?
211 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 211?
The digits sum to 4, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.