4687
4687 is a odd composite number that follows 4686 and precedes 4688. It is composed of 4 distinct factors: 1, 43, 109, 4687. Its prime factorization can be written as 43 × 109. 4687 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4687 is represented as 1001001001111 in binary and 124F in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (43 × 109) reveals 2 prime building blocks.
Divisible by 2
4687 ends in 7, so it is odd.
Divisible by 3
The digit sum 25 is not a multiple of 3.
Divisible by 4
The last two digits 87 are not divisible by 4.
Divisible by 5
4687 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 25 is not a multiple of 9.
Divisible by 10
4687 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 4687 within several notable number theory sequences:
Timeline
Deep dive
How 4687 breaks down
4687 carries 4 distinct factors and a digit signature of 25 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 153, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001001001111 supports bitwise reasoning, hexadecimal 124F aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4687 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4687 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4682–4692) to tune search ranges, and educators feature 4687 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 4687 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 4687
Is 4687 a prime number?
4687 is composite with 4 total factors and the prime factorization 43 × 109.
What is the prime factorization of 4687?
It breaks down as 43 × 109, multiplying the primes 43 × 109.
How is 4687 represented in binary and hexadecimal?
4687 converts to 1001001001111 in binary and 124F in hexadecimal, which are helpful for computer science applications.
Is 4687 a perfect square, cube, or triangular number?
4687 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4687?
The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.