467
467 is a odd prime number that follows 466 and precedes 468. As a prime number, 467 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 467. 467 is classified as a deficient number based on the sum of its proper divisors. In computer science, 467 is represented as 111010011 in binary and 1D3 in hexadecimal. Historically, it is written as CDLXVII in Roman numerals.
Factor Analysis
2 FactorsProperties
467 is prime, so its only factors are 1 and 467.
Divisible by 2
467 ends in 7, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 67 are not divisible by 4.
Divisible by 5
467 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 17 is not a multiple of 9.
Divisible by 10
467 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Deficient classification and digit analytics place 467 within several notable number theory sequences:
Timeline
Deep dive
How 467 breaks down
467 carries 2 distinct factors and a digit signature of 17 (8 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 111010011 supports bitwise reasoning, hexadecimal 1D3 aligns with computing notation, and the Roman numeral CDLXVII keeps the encyclopedic tradition alive. These attributes make 467 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 467 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (462–472) to tune search ranges, and educators feature 467 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 467 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 467
Is 467 a prime number?
467 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 467?
467 is already prime, so the factorization is simply 467.
How is 467 represented in binary and hexadecimal?
467 converts to 111010011 in binary and 1D3 in hexadecimal, which are helpful for computer science applications.
Is 467 a perfect square, cube, or triangular number?
467 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 467?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.