262
262 is a even composite number that follows 261 and precedes 263. It is composed of 4 distinct factors: 1, 2, 131, 262. Its prime factorization can be written as 2 × 131. 262 is classified as a deficient number based on the sum of its proper divisors. In computer science, 262 is represented as 100000110 in binary and 106 in hexadecimal. Historically, it is written as CCLXII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 131) reveals 2 prime building blocks.
Divisible by 2
262 ends in 2, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 62 are not divisible by 4.
Divisible by 5
262 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
262 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 262 within several notable number theory sequences:
Timeline
Deep dive
How 262 breaks down
262 carries 4 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 134, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100000110 supports bitwise reasoning, hexadecimal 106 aligns with computing notation, and the Roman numeral CCLXII keeps the encyclopedic tradition alive. These attributes make 262 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 262 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (257–267) to tune search ranges, and educators feature 262 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 262 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 262
Is 262 a prime number?
262 is composite with 4 total factors and the prime factorization 2 × 131.
What is the prime factorization of 262?
It breaks down as 2 × 131, multiplying the primes 2 × 131.
How is 262 represented in binary and hexadecimal?
262 converts to 100000110 in binary and 106 in hexadecimal, which are helpful for computer science applications.
Is 262 a perfect square, cube, or triangular number?
262 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 262?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.