424
424 is a even composite number that follows 423 and precedes 425. It is composed of 8 distinct factors: 1, 2, 4, 8, 53, 106, 212, 424. Its prime factorization can be written as 2^3 × 53. 424 is classified as a deficient number based on the sum of its proper divisors. In computer science, 424 is represented as 110101000 in binary and 1A8 in hexadecimal. Historically, it is written as CDXXIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 53) reveals 4 prime building blocks.
Divisible by 2
424 ends in 4, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 24 form a multiple of 4.
Divisible by 5
424 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 10 is not a multiple of 9.
Divisible by 10
424 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 424 within several notable number theory sequences:
Timeline
Deep dive
How 424 breaks down
424 carries 8 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 386, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101000 supports bitwise reasoning, hexadecimal 1A8 aligns with computing notation, and the Roman numeral CDXXIV keeps the encyclopedic tradition alive. These attributes make 424 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 424 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (419–429) to tune search ranges, and educators feature 424 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 424 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 424
Is 424 a prime number?
424 is composite with 8 total factors and the prime factorization 2^3 × 53.
What is the prime factorization of 424?
It breaks down as 2^3 × 53, multiplying the primes 2 × 2 × 2 × 53.
How is 424 represented in binary and hexadecimal?
424 converts to 110101000 in binary and 1A8 in hexadecimal, which are helpful for computer science applications.
Is 424 a perfect square, cube, or triangular number?
424 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 424?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.