265
265 is a odd composite number that follows 264 and precedes 266. It is composed of 4 distinct factors: 1, 5, 53, 265. Its prime factorization can be written as 5 × 53. 265 is classified as a deficient number based on the sum of its proper divisors. In computer science, 265 is represented as 100001001 in binary and 109 in hexadecimal. Historically, it is written as CCLXV in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (5 × 53) reveals 2 prime building blocks.
Divisible by 2
265 ends in 5, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 65 are not divisible by 4.
Divisible by 5
265 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 13 is not a multiple of 9.
Divisible by 10
265 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 265 within several notable number theory sequences:
Timeline
Deep dive
How 265 breaks down
265 carries 4 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 59, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100001001 supports bitwise reasoning, hexadecimal 109 aligns with computing notation, and the Roman numeral CCLXV keeps the encyclopedic tradition alive. These attributes make 265 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 265 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (260–270) to tune search ranges, and educators feature 265 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 265 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 265
Is 265 a prime number?
265 is composite with 4 total factors and the prime factorization 5 × 53.
What is the prime factorization of 265?
It breaks down as 5 × 53, multiplying the primes 5 × 53.
How is 265 represented in binary and hexadecimal?
265 converts to 100001001 in binary and 109 in hexadecimal, which are helpful for computer science applications.
Is 265 a perfect square, cube, or triangular number?
265 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 265?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.