1211
1211 is a odd composite number that follows 1210 and precedes 1212. It is composed of 4 distinct factors: 1, 7, 173, 1211. Its prime factorization can be written as 7 × 173. 1211 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1211 is represented as 10010111011 in binary and 4BB in hexadecimal. Historically, it is written as MCCXI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (7 × 173) reveals 2 prime building blocks.
Divisible by 2
1211 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
1211 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
1211 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 1211 within several notable number theory sequences:
Timeline
Deep dive
How 1211 breaks down
1211 carries 4 distinct factors and a digit signature of 5 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 181, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10010111011 supports bitwise reasoning, hexadecimal 4BB aligns with computing notation, and the Roman numeral MCCXI keeps the encyclopedic tradition alive. These attributes make 1211 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1211 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1206–1216) to tune search ranges, and educators feature 1211 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 1211 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 1211
Is 1211 a prime number?
1211 is composite with 4 total factors and the prime factorization 7 × 173.
What is the prime factorization of 1211?
It breaks down as 7 × 173, multiplying the primes 7 × 173.
How is 1211 represented in binary and hexadecimal?
1211 converts to 10010111011 in binary and 4BB in hexadecimal, which are helpful for computer science applications.
Is 1211 a perfect square, cube, or triangular number?
1211 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1211?
The digits sum to 5, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.