183
183 is a odd composite number that follows 182 and precedes 184. It is composed of 4 distinct factors: 1, 3, 61, 183. Its prime factorization can be written as 3 × 61. 183 is classified as a deficient number based on the sum of its proper divisors. In computer science, 183 is represented as 10110111 in binary and B7 in hexadecimal. Historically, it is written as CLXXXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 61) reveals 2 prime building blocks.
Divisible by 2
183 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 83 are not divisible by 4.
Divisible by 5
183 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
183 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 183 within several notable number theory sequences:
Timeline
Deep dive
How 183 breaks down
183 carries 4 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 65, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10110111 supports bitwise reasoning, hexadecimal B7 aligns with computing notation, and the Roman numeral CLXXXIII keeps the encyclopedic tradition alive. These attributes make 183 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 183 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (178–188) to tune search ranges, and educators feature 183 in worksheets about factor trees. Its binary footprint of length 8 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 183 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 183
Is 183 a prime number?
183 is composite with 4 total factors and the prime factorization 3 × 61.
What is the prime factorization of 183?
It breaks down as 3 × 61, multiplying the primes 3 × 61.
How is 183 represented in binary and hexadecimal?
183 converts to 10110111 in binary and B7 in hexadecimal, which are helpful for computer science applications.
Is 183 a perfect square, cube, or triangular number?
183 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 183?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.