3187
3187 is a odd prime number that follows 3186 and precedes 3188. As a prime number, 3187 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3187. 3187 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3187 is represented as 110001110011 in binary and C73 in hexadecimal. Historically, it is written as MMMCLXXXVII in Roman numerals.
Factor Analysis
2 FactorsProperties
3187 is prime, so its only factors are 1 and 3187.
Divisible by 2
3187 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
3187 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
3187 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 3187 within several notable number theory sequences:
Timeline
Deep dive
How 3187 breaks down
3187 carries 2 distinct factors and a digit signature of 19 (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 110001110011 supports bitwise reasoning, hexadecimal C73 aligns with computing notation, and the Roman numeral MMMCLXXXVII keeps the encyclopedic tradition alive. These attributes make 3187 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3187 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3182–3192) to tune search ranges, and educators feature 3187 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 3187 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 3187
Is 3187 a prime number?
3187 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3187?
3187 is already prime, so the factorization is simply 3187.
How is 3187 represented in binary and hexadecimal?
3187 converts to 110001110011 in binary and C73 in hexadecimal, which are helpful for computer science applications.
Is 3187 a perfect square, cube, or triangular number?
3187 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3187?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.