2987
2987 is a odd composite number that follows 2986 and precedes 2988. It is composed of 4 distinct factors: 1, 29, 103, 2987. Its prime factorization can be written as 29 × 103. 2987 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2987 is represented as 101110101011 in binary and BAB in hexadecimal. Historically, it is written as MMCMLXXXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (29 × 103) reveals 2 prime building blocks.
Divisible by 2
2987 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
2987 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
2987 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 2987 within several notable number theory sequences:
Timeline
Deep dive
How 2987 breaks down
2987 carries 4 distinct factors and a digit signature of 26 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 133, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101110101011 supports bitwise reasoning, hexadecimal BAB aligns with computing notation, and the Roman numeral MMCMLXXXVII keeps the encyclopedic tradition alive. These attributes make 2987 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2987 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2982–2992) to tune search ranges, and educators feature 2987 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 2987 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 2987
Is 2987 a prime number?
2987 is composite with 4 total factors and the prime factorization 29 × 103.
What is the prime factorization of 2987?
It breaks down as 29 × 103, multiplying the primes 29 × 103.
How is 2987 represented in binary and hexadecimal?
2987 converts to 101110101011 in binary and BAB in hexadecimal, which are helpful for computer science applications.
Is 2987 a perfect square, cube, or triangular number?
2987 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2987?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.