1324
1324 is a even composite number that follows 1323 and precedes 1325. It is composed of 6 distinct factors: 1, 2, 4, 331, 662, 1324. Its prime factorization can be written as 2^2 × 331. 1324 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1324 is represented as 10100101100 in binary and 52C in hexadecimal. Historically, it is written as MCCCXXIV in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 331) reveals 3 prime building blocks.
Divisible by 2
1324 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
1324 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
1324 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 1324 within several notable number theory sequences:
Timeline
Deep dive
How 1324 breaks down
1324 carries 6 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 1000, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10100101100 supports bitwise reasoning, hexadecimal 52C aligns with computing notation, and the Roman numeral MCCCXXIV keeps the encyclopedic tradition alive. These attributes make 1324 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1324 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1319–1329) to tune search ranges, and educators feature 1324 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 1324 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 1324
Is 1324 a prime number?
1324 is composite with 6 total factors and the prime factorization 2^2 × 331.
What is the prime factorization of 1324?
It breaks down as 2^2 × 331, multiplying the primes 2 × 2 × 331.
How is 1324 represented in binary and hexadecimal?
1324 converts to 10100101100 in binary and 52C in hexadecimal, which are helpful for computer science applications.
Is 1324 a perfect square, cube, or triangular number?
1324 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1324?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.