887
887 is a odd prime number that follows 886 and precedes 888. As a prime number, 887 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 887. 887 is classified as a deficient number based on the sum of its proper divisors. In computer science, 887 is represented as 1101110111 in binary and 377 in hexadecimal. Historically, it is written as DCCCLXXXVII in Roman numerals.
Factor Analysis
2 FactorsProperties
887 is prime, so its only factors are 1 and 887.
Divisible by 2
887 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 87 are not divisible by 4.
Divisible by 5
887 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
887 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 887 within several notable number theory sequences:
Timeline
Deep dive
How 887 breaks down
887 carries 2 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101110111 supports bitwise reasoning, hexadecimal 377 aligns with computing notation, and the Roman numeral DCCCLXXXVII keeps the encyclopedic tradition alive. These attributes make 887 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 887 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (882–892) to tune search ranges, and educators feature 887 in worksheets about prime identification. Its binary footprint of length 10 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 887 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 887
Is 887 a prime number?
887 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 887?
887 is already prime, so the factorization is simply 887.
How is 887 represented in binary and hexadecimal?
887 converts to 1101110111 in binary and 377 in hexadecimal, which are helpful for computer science applications.
Is 887 a perfect square, cube, or triangular number?
887 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 887?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.