425
425 is a odd composite number that follows 424 and precedes 426. It is composed of 6 distinct factors: 1, 5, 17, 25, 85, 425. Its prime factorization can be written as 5^2 × 17. 425 is classified as a deficient number based on the sum of its proper divisors. In computer science, 425 is represented as 110101001 in binary and 1A9 in hexadecimal. Historically, it is written as CDXXV in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (5^2 × 17) reveals 3 prime building blocks.
Divisible by 2
425 ends in 5, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
425 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 11 is not a multiple of 9.
Divisible by 10
425 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 425 within several notable number theory sequences:
Timeline
Deep dive
How 425 breaks down
425 carries 6 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 133, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110101001 supports bitwise reasoning, hexadecimal 1A9 aligns with computing notation, and the Roman numeral CDXXV keeps the encyclopedic tradition alive. These attributes make 425 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 425 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (420–430) to tune search ranges, and educators feature 425 in worksheets about factor trees. Its binary footprint of length 9 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 425 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 425
Is 425 a prime number?
425 is composite with 6 total factors and the prime factorization 5^2 × 17.
What is the prime factorization of 425?
It breaks down as 5^2 × 17, multiplying the primes 5 × 5 × 17.
How is 425 represented in binary and hexadecimal?
425 converts to 110101001 in binary and 1A9 in hexadecimal, which are helpful for computer science applications.
Is 425 a perfect square, cube, or triangular number?
425 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 425?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.