3887
3887 is a odd composite number that follows 3886 and precedes 3888. It is composed of 6 distinct factors: 1, 13, 23, 169, 299, 3887. Its prime factorization can be written as 13^2 × 23. 3887 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3887 is represented as 111100101111 in binary and F2F in hexadecimal. Historically, it is written as MMMDCCCLXXXVII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (13^2 × 23) reveals 3 prime building blocks.
Divisible by 2
3887 ends in 7, so it is odd.
Divisible by 3
The digit sum 26 is not a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
3887 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 26 is not a multiple of 9.
Divisible by 10
3887 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 3887 within several notable number theory sequences:
Timeline
Deep dive
How 3887 breaks down
3887 carries 6 distinct factors and a digit signature of 26 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 505, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111100101111 supports bitwise reasoning, hexadecimal F2F aligns with computing notation, and the Roman numeral MMMDCCCLXXXVII keeps the encyclopedic tradition alive. These attributes make 3887 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3887 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3882–3892) to tune search ranges, and educators feature 3887 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 3887 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 3887
Is 3887 a prime number?
3887 is composite with 6 total factors and the prime factorization 13^2 × 23.
What is the prime factorization of 3887?
It breaks down as 13^2 × 23, multiplying the primes 13 × 13 × 23.
How is 3887 represented in binary and hexadecimal?
3887 converts to 111100101111 in binary and F2F in hexadecimal, which are helpful for computer science applications.
Is 3887 a perfect square, cube, or triangular number?
3887 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3887?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.