325
325 is a odd composite number that follows 324 and precedes 326. It is composed of 6 distinct factors: 1, 5, 13, 25, 65, 325. Its prime factorization can be written as 5^2 × 13. 325 is classified as a deficient number based on the sum of its proper divisors. In computer science, 325 is represented as 101000101 in binary and 145 in hexadecimal. Historically, it is written as CCCXXV in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
6 FactorsProperties
The prime factorization (5^2 × 13) reveals 3 prime building blocks.
Divisible by 2
325 ends in 5, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
325 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 10 is not a multiple of 9.
Divisible by 10
325 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 325 within several notable number theory sequences:
Timeline
Deep dive
How 325 breaks down
325 carries 6 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 109, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101000101 supports bitwise reasoning, hexadecimal 145 aligns with computing notation, and the Roman numeral CCCXXV keeps the encyclopedic tradition alive. These attributes make 325 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 325 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (320–330) to tune search ranges, and educators feature 325 in worksheets about factor trees. Its binary footprint of length 9 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers, Triangular numbers) help historians, numerologists, and trivia writers tie 325 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 325
Is 325 a prime number?
325 is composite with 6 total factors and the prime factorization 5^2 × 13.
What is the prime factorization of 325?
It breaks down as 5^2 × 13, multiplying the primes 5 × 5 × 13.
How is 325 represented in binary and hexadecimal?
325 converts to 101000101 in binary and 145 in hexadecimal, which are helpful for computer science applications.
Is 325 a perfect square, cube, or triangular number?
325 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 325?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.