163
163 is a odd prime number that follows 162 and precedes 164. As a prime number, 163 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 163. 163 is classified as a deficient number based on the sum of its proper divisors. In computer science, 163 is represented as 10100011 in binary and A3 in hexadecimal. Historically, it is written as CLXIII in Roman numerals.
Factor Analysis
2 FactorsProperties
163 is prime, so its only factors are 1 and 163.
Divisible by 2
163 ends in 3, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 63 are not divisible by 4.
Divisible by 5
163 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 10 is not a multiple of 9.
Divisible by 10
163 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 163 within several notable number theory sequences:
Timeline
Deep dive
How 163 breaks down
163 carries 2 distinct factors and a digit signature of 10 (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 10100011 supports bitwise reasoning, hexadecimal A3 aligns with computing notation, and the Roman numeral CLXIII keeps the encyclopedic tradition alive. These attributes make 163 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 163 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (158–168) to tune search ranges, and educators feature 163 in worksheets about prime identification. Its binary footprint of length 8 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 163 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 163
Is 163 a prime number?
163 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 163?
163 is already prime, so the factorization is simply 163.
How is 163 represented in binary and hexadecimal?
163 converts to 10100011 in binary and A3 in hexadecimal, which are helpful for computer science applications.
Is 163 a perfect square, cube, or triangular number?
163 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 163?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.