4163
4163 is a odd composite number that follows 4162 and precedes 4164. It is composed of 4 distinct factors: 1, 23, 181, 4163. Its prime factorization can be written as 23 × 181. 4163 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4163 is represented as 1000001000011 in binary and 1043 in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (23 × 181) reveals 2 prime building blocks.
Divisible by 2
4163 ends in 3, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 63 are not divisible by 4.
Divisible by 5
4163 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 14 is not a multiple of 9.
Divisible by 10
4163 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 4163 within several notable number theory sequences:
Timeline
Deep dive
How 4163 breaks down
4163 carries 4 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 205, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000001000011 supports bitwise reasoning, hexadecimal 1043 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4163 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4163 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4158–4168) to tune search ranges, and educators feature 4163 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 4163 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 4163
Is 4163 a prime number?
4163 is composite with 4 total factors and the prime factorization 23 × 181.
What is the prime factorization of 4163?
It breaks down as 23 × 181, multiplying the primes 23 × 181.
How is 4163 represented in binary and hexadecimal?
4163 converts to 1000001000011 in binary and 1043 in hexadecimal, which are helpful for computer science applications.
Is 4163 a perfect square, cube, or triangular number?
4163 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4163?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.