171
171 is a odd composite number that follows 170 and precedes 172. It is composed of 6 distinct factors: 1, 3, 9, 19, 57, 171. Its prime factorization can be written as 3^2 × 19. 171 is classified as a deficient number based on the sum of its proper divisors. In computer science, 171 is represented as 10101011 in binary and AB in hexadecimal. Historically, it is written as CLXXI in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 19) reveals 3 prime building blocks.
Divisible by 2
171 ends in 1, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 71 are not divisible by 4.
Divisible by 5
171 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 9 is a multiple of 9.
Divisible by 10
171 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 171 within several notable number theory sequences:
Timeline
Deep dive
How 171 breaks down
171 carries 6 distinct factors and a digit signature of 9 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 89, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10101011 supports bitwise reasoning, hexadecimal AB aligns with computing notation, and the Roman numeral CLXXI keeps the encyclopedic tradition alive. These attributes make 171 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 171 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (166–176) to tune search ranges, and educators feature 171 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, Triangular numbers) help historians, numerologists, and trivia writers tie 171 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 171
Is 171 a prime number?
171 is composite with 6 total factors and the prime factorization 3^2 × 19.
What is the prime factorization of 171?
It breaks down as 3^2 × 19, multiplying the primes 3 × 3 × 19.
How is 171 represented in binary and hexadecimal?
171 converts to 10101011 in binary and AB in hexadecimal, which are helpful for computer science applications.
Is 171 a perfect square, cube, or triangular number?
171 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 171?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.