1924
1924 is a even composite number that follows 1923 and precedes 1925. It is composed of 12 distinct factors: 1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924. Its prime factorization can be written as 2^2 × 13 × 37. 1924 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1924 is represented as 11110000100 in binary and 784 in hexadecimal. Historically, it is written as MCMXXIV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 13 × 37) reveals 4 prime building blocks.
Divisible by 2
1924 ends in 4, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 24 form a multiple of 4.
Divisible by 5
1924 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 16 is not a multiple of 9.
Divisible by 10
1924 does not end in 0.
Divisible by 11
The alternating digit sum -10 is not a multiple of 11.
Deficient classification and digit analytics place 1924 within several notable number theory sequences:
Timeline
Deep dive
How 1924 breaks down
1924 carries 12 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 1800, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11110000100 supports bitwise reasoning, hexadecimal 784 aligns with computing notation, and the Roman numeral MCMXXIV keeps the encyclopedic tradition alive. These attributes make 1924 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1924 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1919–1929) to tune search ranges, and educators feature 1924 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 1924 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 1924
Is 1924 a prime number?
1924 is composite with 12 total factors and the prime factorization 2^2 × 13 × 37.
What is the prime factorization of 1924?
It breaks down as 2^2 × 13 × 37, multiplying the primes 2 × 2 × 13 × 37.
How is 1924 represented in binary and hexadecimal?
1924 converts to 11110000100 in binary and 784 in hexadecimal, which are helpful for computer science applications.
Is 1924 a perfect square, cube, or triangular number?
1924 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1924?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.