2867
2867 is a odd composite number that follows 2866 and precedes 2868. It is composed of 4 distinct factors: 1, 47, 61, 2867. Its prime factorization can be written as 47 × 61. 2867 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2867 is represented as 101100110011 in binary and B33 in hexadecimal. Historically, it is written as MMDCCCLXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (47 × 61) reveals 2 prime building blocks.
Divisible by 2
2867 ends in 7, so it is odd.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 67 are not divisible by 4.
Divisible by 5
2867 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 23 is not a multiple of 9.
Divisible by 10
2867 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 2867 within several notable number theory sequences:
Timeline
Deep dive
How 2867 breaks down
2867 carries 4 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 109, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101100110011 supports bitwise reasoning, hexadecimal B33 aligns with computing notation, and the Roman numeral MMDCCCLXVII keeps the encyclopedic tradition alive. These attributes make 2867 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2867 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2862–2872) to tune search ranges, and educators feature 2867 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 2867 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 2867
Is 2867 a prime number?
2867 is composite with 4 total factors and the prime factorization 47 × 61.
What is the prime factorization of 2867?
It breaks down as 47 × 61, multiplying the primes 47 × 61.
How is 2867 represented in binary and hexadecimal?
2867 converts to 101100110011 in binary and B33 in hexadecimal, which are helpful for computer science applications.
Is 2867 a perfect square, cube, or triangular number?
2867 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2867?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.