2367
2367 is a odd composite number that follows 2366 and precedes 2368. It is composed of 6 distinct factors: 1, 3, 9, 263, 789, 2367. Its prime factorization can be written as 3^2 × 263. 2367 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2367 is represented as 100100111111 in binary and 93F in hexadecimal. Historically, it is written as MMCCCLXVII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 263) reveals 3 prime building blocks.
Divisible by 2
2367 ends in 7, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 67 are not divisible by 4.
Divisible by 5
2367 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 18 is a multiple of 9.
Divisible by 10
2367 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 2367 within several notable number theory sequences:
Timeline
Deep dive
How 2367 breaks down
2367 carries 6 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 1065, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100100111111 supports bitwise reasoning, hexadecimal 93F aligns with computing notation, and the Roman numeral MMCCCLXVII keeps the encyclopedic tradition alive. These attributes make 2367 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2367 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2362–2372) to tune search ranges, and educators feature 2367 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 2367 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 2367
Is 2367 a prime number?
2367 is composite with 6 total factors and the prime factorization 3^2 × 263.
What is the prime factorization of 2367?
It breaks down as 3^2 × 263, multiplying the primes 3 × 3 × 263.
How is 2367 represented in binary and hexadecimal?
2367 converts to 100100111111 in binary and 93F in hexadecimal, which are helpful for computer science applications.
Is 2367 a perfect square, cube, or triangular number?
2367 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2367?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.