423
423 is a odd composite number that follows 422 and precedes 424. It is composed of 6 distinct factors: 1, 3, 9, 47, 141, 423. Its prime factorization can be written as 3^2 × 47. 423 is classified as a deficient number based on the sum of its proper divisors. In computer science, 423 is represented as 110100111 in binary and 1A7 in hexadecimal. Historically, it is written as CDXXIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 47) reveals 3 prime building blocks.
Divisible by 2
423 ends in 3, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 23 are not divisible by 4.
Divisible by 5
423 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 9 is a multiple of 9.
Divisible by 10
423 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 423 within several notable number theory sequences:
Timeline
Deep dive
How 423 breaks down
423 carries 6 distinct factors and a digit signature of 9 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 201, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100111 supports bitwise reasoning, hexadecimal 1A7 aligns with computing notation, and the Roman numeral CDXXIII keeps the encyclopedic tradition alive. These attributes make 423 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 423 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (418–428) to tune search ranges, and educators feature 423 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 423 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 423
Is 423 a prime number?
423 is composite with 6 total factors and the prime factorization 3^2 × 47.
What is the prime factorization of 423?
It breaks down as 3^2 × 47, multiplying the primes 3 × 3 × 47.
How is 423 represented in binary and hexadecimal?
423 converts to 110100111 in binary and 1A7 in hexadecimal, which are helpful for computer science applications.
Is 423 a perfect square, cube, or triangular number?
423 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 423?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.