2387
2387 is a odd composite number that follows 2386 and precedes 2388. It is composed of 8 distinct factors: 1, 7, 11, 31, 77, 217, 341, 2387. Its prime factorization can be written as 7 × 11 × 31. 2387 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2387 is represented as 100101010011 in binary and 953 in hexadecimal. Historically, it is written as MMCCCLXXXVII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (7 × 11 × 31) reveals 3 prime building blocks.
Divisible by 2
2387 ends in 7, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
2387 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 20 is not a multiple of 9.
Divisible by 10
2387 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 2387 within several notable number theory sequences:
Timeline
Deep dive
How 2387 breaks down
2387 carries 8 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 685, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100101010011 supports bitwise reasoning, hexadecimal 953 aligns with computing notation, and the Roman numeral MMCCCLXXXVII keeps the encyclopedic tradition alive. These attributes make 2387 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2387 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2382–2392) to tune search ranges, and educators feature 2387 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 2387 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 2387
Is 2387 a prime number?
2387 is composite with 8 total factors and the prime factorization 7 × 11 × 31.
What is the prime factorization of 2387?
It breaks down as 7 × 11 × 31, multiplying the primes 7 × 11 × 31.
How is 2387 represented in binary and hexadecimal?
2387 converts to 100101010011 in binary and 953 in hexadecimal, which are helpful for computer science applications.
Is 2387 a perfect square, cube, or triangular number?
2387 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2387?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.