182
182 is a even composite number that follows 181 and precedes 183. It is composed of 8 distinct factors: 1, 2, 7, 13, 14, 26, 91, 182. Its prime factorization can be written as 2 × 7 × 13. 182 is classified as a deficient number based on the sum of its proper divisors. In computer science, 182 is represented as 10110110 in binary and B6 in hexadecimal. Historically, it is written as CLXXXII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 7 × 13) reveals 3 prime building blocks.
Divisible by 2
182 ends in 2, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 82 are not divisible by 4.
Divisible by 5
182 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
182 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 182 within several notable number theory sequences:
Timeline
Deep dive
How 182 breaks down
182 carries 8 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 154, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10110110 supports bitwise reasoning, hexadecimal B6 aligns with computing notation, and the Roman numeral CLXXXII keeps the encyclopedic tradition alive. These attributes make 182 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 182 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (177–187) to tune search ranges, and educators feature 182 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 182 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 182
Is 182 a prime number?
182 is composite with 8 total factors and the prime factorization 2 × 7 × 13.
What is the prime factorization of 182?
It breaks down as 2 × 7 × 13, multiplying the primes 2 × 7 × 13.
How is 182 represented in binary and hexadecimal?
182 converts to 10110110 in binary and B6 in hexadecimal, which are helpful for computer science applications.
Is 182 a perfect square, cube, or triangular number?
182 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 182?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.