263
263 is a odd prime number that follows 262 and precedes 264. As a prime number, 263 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 263. 263 is classified as a deficient number based on the sum of its proper divisors. In computer science, 263 is represented as 100000111 in binary and 107 in hexadecimal. Historically, it is written as CCLXIII in Roman numerals.
Factor Analysis
2 FactorsProperties
263 is prime, so its only factors are 1 and 263.
Divisible by 2
263 ends in 3, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 63 are not divisible by 4.
Divisible by 5
263 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 11 is not a multiple of 9.
Divisible by 10
263 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 263 within several notable number theory sequences:
Timeline
Deep dive
How 263 breaks down
263 carries 2 distinct factors and a digit signature of 11 (2 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 100000111 supports bitwise reasoning, hexadecimal 107 aligns with computing notation, and the Roman numeral CCLXIII keeps the encyclopedic tradition alive. These attributes make 263 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 263 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (258–268) to tune search ranges, and educators feature 263 in worksheets about prime identification. Its binary footprint of length 9 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 263 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 263
Is 263 a prime number?
263 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 263?
263 is already prime, so the factorization is simply 263.
How is 263 represented in binary and hexadecimal?
263 converts to 100000111 in binary and 107 in hexadecimal, which are helpful for computer science applications.
Is 263 a perfect square, cube, or triangular number?
263 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 263?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.