266
266 is a even composite number that follows 265 and precedes 267. It is composed of 8 distinct factors: 1, 2, 7, 14, 19, 38, 133, 266. Its prime factorization can be written as 2 × 7 × 19. 266 is classified as a deficient number based on the sum of its proper divisors. In computer science, 266 is represented as 100001010 in binary and 10A in hexadecimal. Historically, it is written as CCLXVI in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 7 × 19) reveals 3 prime building blocks.
Divisible by 2
266 ends in 6, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 66 are not divisible by 4.
Divisible by 5
266 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
266 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 266 within several notable number theory sequences:
Timeline
Deep dive
How 266 breaks down
266 carries 8 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 214, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100001010 supports bitwise reasoning, hexadecimal 10A aligns with computing notation, and the Roman numeral CCLXVI keeps the encyclopedic tradition alive. These attributes make 266 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 266 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (261–271) to tune search ranges, and educators feature 266 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 266 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 266
Is 266 a prime number?
266 is composite with 8 total factors and the prime factorization 2 × 7 × 19.
What is the prime factorization of 266?
It breaks down as 2 × 7 × 19, multiplying the primes 2 × 7 × 19.
How is 266 represented in binary and hexadecimal?
266 converts to 100001010 in binary and 10A in hexadecimal, which are helpful for computer science applications.
Is 266 a perfect square, cube, or triangular number?
266 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 266?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.