463
463 is a odd prime number that follows 462 and precedes 464. As a prime number, 463 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 463. 463 is classified as a deficient number based on the sum of its proper divisors. In computer science, 463 is represented as 111001111 in binary and 1CF in hexadecimal. Historically, it is written as CDLXIII in Roman numerals.
Factor Analysis
2 FactorsProperties
463 is prime, so its only factors are 1 and 463.
Divisible by 2
463 ends in 3, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 63 are not divisible by 4.
Divisible by 5
463 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 13 is not a multiple of 9.
Divisible by 10
463 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 463 within several notable number theory sequences:
Timeline
Deep dive
How 463 breaks down
463 carries 2 distinct factors and a digit signature of 13 (4 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 111001111 supports bitwise reasoning, hexadecimal 1CF aligns with computing notation, and the Roman numeral CDLXIII keeps the encyclopedic tradition alive. These attributes make 463 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 463 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (458–468) to tune search ranges, and educators feature 463 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 463 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 463
Is 463 a prime number?
463 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 463?
463 is already prime, so the factorization is simply 463.
How is 463 represented in binary and hexadecimal?
463 converts to 111001111 in binary and 1CF in hexadecimal, which are helpful for computer science applications.
Is 463 a perfect square, cube, or triangular number?
463 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 463?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.