5025
5025 is a odd composite number that follows 5024 and precedes 5026. It is composed of 12 distinct factors: 1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025. Its prime factorization can be written as 3 × 5^2 × 67. 5025 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5025 is represented as 1001110100001 in binary and 13A1 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (3 × 5^2 × 67) reveals 4 prime building blocks.
Divisible by 2
5025 ends in 5, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
5025 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 12 is not a multiple of 9.
Divisible by 10
5025 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 5025 within several notable number theory sequences:
Timeline
Deep dive
How 5025 breaks down
5025 carries 12 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 3407, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001110100001 supports bitwise reasoning, hexadecimal 13A1 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5025 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5025 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5020–5030) to tune search ranges, and educators feature 5025 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 5025 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 5025
Is 5025 a prime number?
5025 is composite with 12 total factors and the prime factorization 3 × 5^2 × 67.
What is the prime factorization of 5025?
It breaks down as 3 × 5^2 × 67, multiplying the primes 3 × 5 × 5 × 67.
How is 5025 represented in binary and hexadecimal?
5025 converts to 1001110100001 in binary and 13A1 in hexadecimal, which are helpful for computer science applications.
Is 5025 a perfect square, cube, or triangular number?
5025 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5025?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.