455
455 is a odd composite number that follows 454 and precedes 456. It is composed of 8 distinct factors: 1, 5, 7, 13, 35, 65, 91, 455. Its prime factorization can be written as 5 × 7 × 13. 455 is classified as a deficient number based on the sum of its proper divisors. In computer science, 455 is represented as 111000111 in binary and 1C7 in hexadecimal. Historically, it is written as CDLV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (5 × 7 × 13) reveals 3 prime building blocks.
Divisible by 2
455 ends in 5, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 55 are not divisible by 4.
Divisible by 5
455 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 14 is not a multiple of 9.
Divisible by 10
455 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 455 within several notable number theory sequences:
Timeline
Deep dive
How 455 breaks down
455 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 217, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111000111 supports bitwise reasoning, hexadecimal 1C7 aligns with computing notation, and the Roman numeral CDLV keeps the encyclopedic tradition alive. These attributes make 455 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 455 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (450–460) to tune search ranges, and educators feature 455 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 455 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 455
Is 455 a prime number?
455 is composite with 8 total factors and the prime factorization 5 × 7 × 13.
What is the prime factorization of 455?
It breaks down as 5 × 7 × 13, multiplying the primes 5 × 7 × 13.
How is 455 represented in binary and hexadecimal?
455 converts to 111000111 in binary and 1C7 in hexadecimal, which are helpful for computer science applications.
Is 455 a perfect square, cube, or triangular number?
455 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 455?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.