1887
1887 is a odd composite number that follows 1886 and precedes 1888. It is composed of 8 distinct factors: 1, 3, 17, 37, 51, 111, 629, 1887. Its prime factorization can be written as 3 × 17 × 37. 1887 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1887 is represented as 11101011111 in binary and 75F in hexadecimal. Historically, it is written as MDCCCLXXXVII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 17 × 37) reveals 3 prime building blocks.
Divisible by 2
1887 ends in 7, so it is odd.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
1887 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 24 is not a multiple of 9.
Divisible by 10
1887 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 1887 within several notable number theory sequences:
Timeline
Deep dive
How 1887 breaks down
1887 carries 8 distinct factors and a digit signature of 24 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 849, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11101011111 supports bitwise reasoning, hexadecimal 75F aligns with computing notation, and the Roman numeral MDCCCLXXXVII keeps the encyclopedic tradition alive. These attributes make 1887 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1887 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1882–1892) to tune search ranges, and educators feature 1887 in worksheets about factor trees. Its binary footprint of length 11 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 1887 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 1887
Is 1887 a prime number?
1887 is composite with 8 total factors and the prime factorization 3 × 17 × 37.
What is the prime factorization of 1887?
It breaks down as 3 × 17 × 37, multiplying the primes 3 × 17 × 37.
How is 1887 represented in binary and hexadecimal?
1887 converts to 11101011111 in binary and 75F in hexadecimal, which are helpful for computer science applications.
Is 1887 a perfect square, cube, or triangular number?
1887 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1887?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.