3163
3163 is a odd prime number that follows 3162 and precedes 3164. As a prime number, 3163 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3163. 3163 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3163 is represented as 110001011011 in binary and C5B in hexadecimal. Historically, it is written as MMMCLXIII in Roman numerals.
Factor Analysis
2 FactorsProperties
3163 is prime, so its only factors are 1 and 3163.
Divisible by 2
3163 ends in 3, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 63 are not divisible by 4.
Divisible by 5
3163 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 13 is not a multiple of 9.
Divisible by 10
3163 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 3163 within several notable number theory sequences:
Timeline
Deep dive
How 3163 breaks down
3163 carries 2 distinct factors and a digit signature of 13 (4 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 110001011011 supports bitwise reasoning, hexadecimal C5B aligns with computing notation, and the Roman numeral MMMCLXIII keeps the encyclopedic tradition alive. These attributes make 3163 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3163 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3158–3168) to tune search ranges, and educators feature 3163 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 3163 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 3163
Is 3163 a prime number?
3163 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3163?
3163 is already prime, so the factorization is simply 3163.
How is 3163 represented in binary and hexadecimal?
3163 converts to 110001011011 in binary and C5B in hexadecimal, which are helpful for computer science applications.
Is 3163 a perfect square, cube, or triangular number?
3163 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3163?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.