2667
2667 is a odd composite number that follows 2666 and precedes 2668. It is composed of 8 distinct factors: 1, 3, 7, 21, 127, 381, 889, 2667. Its prime factorization can be written as 3 × 7 × 127. 2667 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2667 is represented as 101001101011 in binary and A6B in hexadecimal. Historically, it is written as MMDCLXVII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 7 × 127) reveals 3 prime building blocks.
Divisible by 2
2667 ends in 7, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 67 are not divisible by 4.
Divisible by 5
2667 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 21 is not a multiple of 9.
Divisible by 10
2667 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 2667 within several notable number theory sequences:
Timeline
Deep dive
How 2667 breaks down
2667 carries 8 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 1429, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101001101011 supports bitwise reasoning, hexadecimal A6B aligns with computing notation, and the Roman numeral MMDCLXVII keeps the encyclopedic tradition alive. These attributes make 2667 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2667 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2662–2672) to tune search ranges, and educators feature 2667 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 2667 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 2667
Is 2667 a prime number?
2667 is composite with 8 total factors and the prime factorization 3 × 7 × 127.
What is the prime factorization of 2667?
It breaks down as 3 × 7 × 127, multiplying the primes 3 × 7 × 127.
How is 2667 represented in binary and hexadecimal?
2667 converts to 101001101011 in binary and A6B in hexadecimal, which are helpful for computer science applications.
Is 2667 a perfect square, cube, or triangular number?
2667 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2667?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.