1424
1424 is a even composite number that follows 1423 and precedes 1425. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 89, 178, 356, 712, 1424. Its prime factorization can be written as 2^4 × 89. 1424 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1424 is represented as 10110010000 in binary and 590 in hexadecimal. Historically, it is written as MCDXXIV in Roman numerals.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 89) reveals 5 prime building blocks.
Divisible by 2
1424 ends in 4, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 24 form a multiple of 4.
Divisible by 5
1424 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 11 is not a multiple of 9.
Divisible by 10
1424 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 1424 within several notable number theory sequences:
Timeline
Deep dive
How 1424 breaks down
1424 carries 10 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1366, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10110010000 supports bitwise reasoning, hexadecimal 590 aligns with computing notation, and the Roman numeral MCDXXIV keeps the encyclopedic tradition alive. These attributes make 1424 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1424 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1419–1429) to tune search ranges, and educators feature 1424 in worksheets about factor trees. Its binary footprint of length 11 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 1424 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 1424
Is 1424 a prime number?
1424 is composite with 10 total factors and the prime factorization 2^4 × 89.
What is the prime factorization of 1424?
It breaks down as 2^4 × 89, multiplying the primes 2 × 2 × 2 × 2 × 89.
How is 1424 represented in binary and hexadecimal?
1424 converts to 10110010000 in binary and 590 in hexadecimal, which are helpful for computer science applications.
Is 1424 a perfect square, cube, or triangular number?
1424 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1424?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.