2424
2424 is a even composite number that follows 2423 and precedes 2425. It is composed of 16 distinct factors: 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424. Its prime factorization can be written as 2^3 × 3 × 101. 2424 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2424 is represented as 100101111000 in binary and 978 in hexadecimal. Historically, it is written as MMCDXXIV in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 3 × 101) reveals 5 prime building blocks.
Divisible by 2
2424 ends in 4, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 24 form a multiple of 4.
Divisible by 5
2424 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 12 is not a multiple of 9.
Divisible by 10
2424 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Abundant classification and digit analytics place 2424 within several notable number theory sequences:
Timeline
Deep dive
How 2424 breaks down
2424 carries 16 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 3696, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100101111000 supports bitwise reasoning, hexadecimal 978 aligns with computing notation, and the Roman numeral MMCDXXIV keeps the encyclopedic tradition alive. These attributes make 2424 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2424 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2419–2429) to tune search ranges, and educators feature 2424 in worksheets about factor trees. Its binary footprint of length 12 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 2424 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 2424
Is 2424 a prime number?
2424 is composite with 16 total factors and the prime factorization 2^3 × 3 × 101.
What is the prime factorization of 2424?
It breaks down as 2^3 × 3 × 101, multiplying the primes 2 × 2 × 2 × 3 × 101.
How is 2424 represented in binary and hexadecimal?
2424 converts to 100101111000 in binary and 978 in hexadecimal, which are helpful for computer science applications.
Is 2424 a perfect square, cube, or triangular number?
2424 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2424?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.