2025
2025 is a odd composite number that follows 2024 and precedes 2026. It is composed of 15 distinct factors: 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025. Its prime factorization can be written as 3^4 × 5^2. 2025 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2025 is represented as 11111101001 in binary and 7E9 in hexadecimal. Historically, it is written as MMXXV in Roman numerals. It also belongs to the perfect square sequence.
Factor Analysis
15 FactorsProperties
The prime factorization (3^4 × 5^2) reveals 6 prime building blocks.
Divisible by 2
2025 ends in 5, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
2025 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 9 is a multiple of 9.
Divisible by 10
2025 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 2025 within several notable number theory sequences:
Timeline
Deep dive
How 2025 breaks down
2025 carries 15 distinct factors and a digit signature of 9 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 1726, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11111101001 supports bitwise reasoning, hexadecimal 7E9 aligns with computing notation, and the Roman numeral MMXXV keeps the encyclopedic tradition alive. These attributes make 2025 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2025 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2020–2030) to tune search ranges, and educators feature 2025 in worksheets about factor trees. Its binary footprint of length 11 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers, Perfect squares) help historians, numerologists, and trivia writers tie 2025 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 2025
Is 2025 a prime number?
2025 is composite with 15 total factors and the prime factorization 3^4 × 5^2.
What is the prime factorization of 2025?
It breaks down as 3^4 × 5^2, multiplying the primes 3 × 3 × 3 × 3 × 5 × 5.
How is 2025 represented in binary and hexadecimal?
2025 converts to 11111101001 in binary and 7E9 in hexadecimal, which are helpful for computer science applications.
Is 2025 a perfect square, cube, or triangular number?
2025 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2025?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.