2167
2167 is a odd composite number that follows 2166 and precedes 2168. It is composed of 4 distinct factors: 1, 11, 197, 2167. Its prime factorization can be written as 11 × 197. 2167 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2167 is represented as 100001110111 in binary and 877 in hexadecimal. Historically, it is written as MMCLXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (11 × 197) reveals 2 prime building blocks.
Divisible by 2
2167 ends in 7, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 67 are not divisible by 4.
Divisible by 5
2167 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 16 is not a multiple of 9.
Divisible by 10
2167 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 2167 within several notable number theory sequences:
Timeline
Deep dive
How 2167 breaks down
2167 carries 4 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 209, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100001110111 supports bitwise reasoning, hexadecimal 877 aligns with computing notation, and the Roman numeral MMCLXVII keeps the encyclopedic tradition alive. These attributes make 2167 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2167 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2162–2172) to tune search ranges, and educators feature 2167 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) help historians, numerologists, and trivia writers tie 2167 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 2167
Is 2167 a prime number?
2167 is composite with 4 total factors and the prime factorization 11 × 197.
What is the prime factorization of 2167?
It breaks down as 11 × 197, multiplying the primes 11 × 197.
How is 2167 represented in binary and hexadecimal?
2167 converts to 100001110111 in binary and 877 in hexadecimal, which are helpful for computer science applications.
Is 2167 a perfect square, cube, or triangular number?
2167 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2167?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.