15424
15424 is a even composite number that follows 15423 and precedes 15425. It is composed of 14 distinct factors: 1, 2, 4, 8, 16, 32, 64, 241, 482, 964, 1928, 3856, 7712, 15424. Its prime factorization can be written as 2^6 × 241. 15424 is classified as a deficient number based on the sum of its proper divisors. In computer science, 15424 is represented as 11110001000000 in binary and 3C40 in hexadecimal.
Factor Analysis
14 FactorsProperties
The prime factorization (2^6 × 241) reveals 7 prime building blocks.
Divisible by 2
15424 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
15424 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
15424 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 15424 within several notable number theory sequences:
Timeline
Deep dive
How 15424 breaks down
15424 carries 14 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 15310, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11110001000000 supports bitwise reasoning, hexadecimal 3C40 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 15424 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 15424 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (15419–15429) to tune search ranges, and educators feature 15424 in worksheets about factor trees. Its binary footprint of length 14 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 15424 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 15424
Is 15424 a prime number?
15424 is composite with 14 total factors and the prime factorization 2^6 × 241.
What is the prime factorization of 15424?
It breaks down as 2^6 × 241, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 241.
How is 15424 represented in binary and hexadecimal?
15424 converts to 11110001000000 in binary and 3C40 in hexadecimal, which are helpful for computer science applications.
Is 15424 a perfect square, cube, or triangular number?
15424 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 15424?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.