273
273 is a odd composite number that follows 272 and precedes 274. It is composed of 8 distinct factors: 1, 3, 7, 13, 21, 39, 91, 273. Its prime factorization can be written as 3 × 7 × 13. 273 is classified as a deficient number based on the sum of its proper divisors. In computer science, 273 is represented as 100010001 in binary and 111 in hexadecimal. Historically, it is written as CCLXXIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 7 × 13) reveals 3 prime building blocks.
Divisible by 2
273 ends in 3, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 73 are not divisible by 4.
Divisible by 5
273 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 12 is not a multiple of 9.
Divisible by 10
273 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 273 within several notable number theory sequences:
Timeline
Deep dive
How 273 breaks down
273 carries 8 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 175, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100010001 supports bitwise reasoning, hexadecimal 111 aligns with computing notation, and the Roman numeral CCLXXIII keeps the encyclopedic tradition alive. These attributes make 273 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 273 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (268–278) to tune search ranges, and educators feature 273 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 273 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 273
Is 273 a prime number?
273 is composite with 8 total factors and the prime factorization 3 × 7 × 13.
What is the prime factorization of 273?
It breaks down as 3 × 7 × 13, multiplying the primes 3 × 7 × 13.
How is 273 represented in binary and hexadecimal?
273 converts to 100010001 in binary and 111 in hexadecimal, which are helpful for computer science applications.
Is 273 a perfect square, cube, or triangular number?
273 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 273?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.