5887
5887 is a odd composite number that follows 5886 and precedes 5888. It is composed of 6 distinct factors: 1, 7, 29, 203, 841, 5887. Its prime factorization can be written as 7 × 29^2. 5887 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5887 is represented as 1011011111111 in binary and 16FF in hexadecimal.
Factor Analysis
6 FactorsProperties
The prime factorization (7 × 29^2) reveals 3 prime building blocks.
Divisible by 2
5887 ends in 7, so it is odd.
Divisible by 3
The digit sum 28 is not a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
5887 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 28 is not a multiple of 9.
Divisible by 10
5887 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 5887 within several notable number theory sequences:
Timeline
Deep dive
How 5887 breaks down
5887 carries 6 distinct factors and a digit signature of 28 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 1081, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011011111111 supports bitwise reasoning, hexadecimal 16FF aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5887 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5887 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5882–5892) to tune search ranges, and educators feature 5887 in worksheets about factor trees. Its binary footprint of length 13 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 5887 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 5887
Is 5887 a prime number?
5887 is composite with 6 total factors and the prime factorization 7 × 29^2.
What is the prime factorization of 5887?
It breaks down as 7 × 29^2, multiplying the primes 7 × 29 × 29.
How is 5887 represented in binary and hexadecimal?
5887 converts to 1011011111111 in binary and 16FF in hexadecimal, which are helpful for computer science applications.
Is 5887 a perfect square, cube, or triangular number?
5887 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5887?
The digits sum to 28, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.