13425
13425 is a odd composite number that follows 13424 and precedes 13426. It is composed of 12 distinct factors: 1, 3, 5, 15, 25, 75, 179, 537, 895, 2685, 4475, 13425. Its prime factorization can be written as 3 × 5^2 × 179. 13425 is classified as a deficient number based on the sum of its proper divisors. In computer science, 13425 is represented as 11010001110001 in binary and 3471 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (3 × 5^2 × 179) reveals 4 prime building blocks.
Divisible by 2
13425 ends in 5, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
13425 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 15 is not a multiple of 9.
Divisible by 10
13425 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 13425 within several notable number theory sequences:
Timeline
Deep dive
How 13425 breaks down
13425 carries 12 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 8895, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11010001110001 supports bitwise reasoning, hexadecimal 3471 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 13425 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 13425 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (13420–13430) to tune search ranges, and educators feature 13425 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 13425 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 13425
Is 13425 a prime number?
13425 is composite with 12 total factors and the prime factorization 3 × 5^2 × 179.
What is the prime factorization of 13425?
It breaks down as 3 × 5^2 × 179, multiplying the primes 3 × 5 × 5 × 179.
How is 13425 represented in binary and hexadecimal?
13425 converts to 11010001110001 in binary and 3471 in hexadecimal, which are helpful for computer science applications.
Is 13425 a perfect square, cube, or triangular number?
13425 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 13425?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.