2211
2211 is a odd composite number that follows 2210 and precedes 2212. It is composed of 8 distinct factors: 1, 3, 11, 33, 67, 201, 737, 2211. Its prime factorization can be written as 3 × 11 × 67. 2211 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2211 is represented as 100010100011 in binary and 8A3 in hexadecimal. Historically, it is written as MMCCXI in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 11 × 67) reveals 3 prime building blocks.
Divisible by 2
2211 ends in 1, so it is odd.
Divisible by 3
The digit sum 6 is a multiple of 3.
Divisible by 4
The last two digits 11 are not divisible by 4.
Divisible by 5
2211 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 6 is not a multiple of 9.
Divisible by 10
2211 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 2211 within several notable number theory sequences:
Timeline
Deep dive
How 2211 breaks down
2211 carries 8 distinct factors and a digit signature of 6 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 1053, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100010100011 supports bitwise reasoning, hexadecimal 8A3 aligns with computing notation, and the Roman numeral MMCCXI keeps the encyclopedic tradition alive. These attributes make 2211 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2211 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2206–2216) to tune search ranges, and educators feature 2211 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers, Triangular numbers) help historians, numerologists, and trivia writers tie 2211 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 2211
Is 2211 a prime number?
2211 is composite with 8 total factors and the prime factorization 3 × 11 × 67.
What is the prime factorization of 2211?
It breaks down as 3 × 11 × 67, multiplying the primes 3 × 11 × 67.
How is 2211 represented in binary and hexadecimal?
2211 converts to 100010100011 in binary and 8A3 in hexadecimal, which are helpful for computer science applications.
Is 2211 a perfect square, cube, or triangular number?
2211 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 2211?
The digits sum to 6, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.