5425
5425 is a odd composite number that follows 5424 and precedes 5426. It is composed of 12 distinct factors: 1, 5, 7, 25, 31, 35, 155, 175, 217, 775, 1085, 5425. Its prime factorization can be written as 5^2 × 7 × 31. 5425 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5425 is represented as 1010100110001 in binary and 1531 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (5^2 × 7 × 31) reveals 4 prime building blocks.
Divisible by 2
5425 ends in 5, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
5425 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 16 is not a multiple of 9.
Divisible by 10
5425 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 5425 within several notable number theory sequences:
Timeline
Deep dive
How 5425 breaks down
5425 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 2511, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010100110001 supports bitwise reasoning, hexadecimal 1531 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5425 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5425 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5420–5430) to tune search ranges, and educators feature 5425 in worksheets about factor trees. Its binary footprint of length 13 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 5425 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 5425
Is 5425 a prime number?
5425 is composite with 12 total factors and the prime factorization 5^2 × 7 × 31.
What is the prime factorization of 5425?
It breaks down as 5^2 × 7 × 31, multiplying the primes 5 × 5 × 7 × 31.
How is 5425 represented in binary and hexadecimal?
5425 converts to 1010100110001 in binary and 1531 in hexadecimal, which are helpful for computer science applications.
Is 5425 a perfect square, cube, or triangular number?
5425 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5425?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.