4025
4025 is a odd composite number that follows 4024 and precedes 4026. It is composed of 12 distinct factors: 1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025. Its prime factorization can be written as 5^2 × 7 × 23. 4025 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4025 is represented as 111110111001 in binary and FB9 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (5^2 × 7 × 23) reveals 4 prime building blocks.
Divisible by 2
4025 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
4025 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
4025 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 4025 within several notable number theory sequences:
Timeline
Deep dive
How 4025 breaks down
4025 carries 12 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1927, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111110111001 supports bitwise reasoning, hexadecimal FB9 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4025 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4025 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4020–4030) to tune search ranges, and educators feature 4025 in worksheets about factor trees. Its binary footprint of length 12 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 4025 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 4025
Is 4025 a prime number?
4025 is composite with 12 total factors and the prime factorization 5^2 × 7 × 23.
What is the prime factorization of 4025?
It breaks down as 5^2 × 7 × 23, multiplying the primes 5 × 5 × 7 × 23.
How is 4025 represented in binary and hexadecimal?
4025 converts to 111110111001 in binary and FB9 in hexadecimal, which are helpful for computer science applications.
Is 4025 a perfect square, cube, or triangular number?
4025 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4025?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.