326
326 is a even composite number that follows 325 and precedes 327. It is composed of 4 distinct factors: 1, 2, 163, 326. Its prime factorization can be written as 2 × 163. 326 is classified as a deficient number based on the sum of its proper divisors. In computer science, 326 is represented as 101000110 in binary and 146 in hexadecimal. Historically, it is written as CCCXXVI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 163) reveals 2 prime building blocks.
Divisible by 2
326 ends in 6, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 26 are not divisible by 4.
Divisible by 5
326 does not end in 0 or 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
326 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 326 within several notable number theory sequences:
Timeline
Deep dive
How 326 breaks down
326 carries 4 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 166, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101000110 supports bitwise reasoning, hexadecimal 146 aligns with computing notation, and the Roman numeral CCCXXVI keeps the encyclopedic tradition alive. These attributes make 326 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 326 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (321–331) to tune search ranges, and educators feature 326 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) help historians, numerologists, and trivia writers tie 326 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 326
Is 326 a prime number?
326 is composite with 4 total factors and the prime factorization 2 × 163.
What is the prime factorization of 326?
It breaks down as 2 × 163, multiplying the primes 2 × 163.
How is 326 represented in binary and hexadecimal?
326 converts to 101000110 in binary and 146 in hexadecimal, which are helpful for computer science applications.
Is 326 a perfect square, cube, or triangular number?
326 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 326?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.