4087
4087 is a odd composite number that follows 4086 and precedes 4088. It is composed of 4 distinct factors: 1, 61, 67, 4087. Its prime factorization can be written as 61 × 67. 4087 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4087 is represented as 111111110111 in binary and FF7 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (61 × 67) reveals 2 prime building blocks.
Divisible by 2
4087 ends in 7, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
4087 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 19 is not a multiple of 9.
Divisible by 10
4087 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 4087 within several notable number theory sequences:
Timeline
Deep dive
How 4087 breaks down
4087 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 129, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111111110111 supports bitwise reasoning, hexadecimal FF7 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4087 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4087 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4082–4092) to tune search ranges, and educators feature 4087 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 4087 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 4087
Is 4087 a prime number?
4087 is composite with 4 total factors and the prime factorization 61 × 67.
What is the prime factorization of 4087?
It breaks down as 61 × 67, multiplying the primes 61 × 67.
How is 4087 represented in binary and hexadecimal?
4087 converts to 111111110111 in binary and FF7 in hexadecimal, which are helpful for computer science applications.
Is 4087 a perfect square, cube, or triangular number?
4087 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4087?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.