4987
4987 is a odd prime number that follows 4986 and precedes 4988. As a prime number, 4987 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 4987. 4987 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4987 is represented as 1001101111011 in binary and 137B in hexadecimal.
Factor Analysis
2 FactorsProperties
4987 is prime, so its only factors are 1 and 4987.
Divisible by 2
4987 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
4987 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
4987 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 4987 within several notable number theory sequences:
Timeline
Deep dive
How 4987 breaks down
4987 carries 2 distinct factors and a digit signature of 28 (1 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 1001101111011 supports bitwise reasoning, hexadecimal 137B aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4987 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4987 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4982–4992) to tune search ranges, and educators feature 4987 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 4987 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 4987
Is 4987 a prime number?
4987 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 4987?
4987 is already prime, so the factorization is simply 4987.
How is 4987 represented in binary and hexadecimal?
4987 converts to 1001101111011 in binary and 137B in hexadecimal, which are helpful for computer science applications.
Is 4987 a perfect square, cube, or triangular number?
4987 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4987?
The digits sum to 28, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.