2325
2325 is a odd composite number that follows 2324 and precedes 2326. It is composed of 12 distinct factors: 1, 3, 5, 15, 25, 31, 75, 93, 155, 465, 775, 2325. Its prime factorization can be written as 3 × 5^2 × 31. 2325 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2325 is represented as 100100010101 in binary and 915 in hexadecimal. Historically, it is written as MMCCCXXV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (3 × 5^2 × 31) reveals 4 prime building blocks.
Divisible by 2
2325 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
2325 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
2325 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 2325 within several notable number theory sequences:
Timeline
Deep dive
How 2325 breaks down
2325 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 1643, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100100010101 supports bitwise reasoning, hexadecimal 915 aligns with computing notation, and the Roman numeral MMCCCXXV keeps the encyclopedic tradition alive. These attributes make 2325 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2325 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2320–2330) to tune search ranges, and educators feature 2325 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 2325 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 2325
Is 2325 a prime number?
2325 is composite with 12 total factors and the prime factorization 3 × 5^2 × 31.
What is the prime factorization of 2325?
It breaks down as 3 × 5^2 × 31, multiplying the primes 3 × 5 × 5 × 31.
How is 2325 represented in binary and hexadecimal?
2325 converts to 100100010101 in binary and 915 in hexadecimal, which are helpful for computer science applications.
Is 2325 a perfect square, cube, or triangular number?
2325 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2325?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.