170
170 is a even composite number that follows 169 and precedes 171. It is composed of 8 distinct factors: 1, 2, 5, 10, 17, 34, 85, 170. Its prime factorization can be written as 2 × 5 × 17. 170 is classified as a deficient number based on the sum of its proper divisors. In computer science, 170 is represented as 10101010 in binary and AA in hexadecimal. Historically, it is written as CLXX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 5 × 17) reveals 3 prime building blocks.
Divisible by 2
170 ends in 0, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 70 are not divisible by 4.
Divisible by 5
170 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 8 is not a multiple of 9.
Divisible by 10
170 ends in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 170 within several notable number theory sequences:
Timeline
Deep dive
How 170 breaks down
170 carries 8 distinct factors and a digit signature of 8 (8 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 10101010 supports bitwise reasoning, hexadecimal AA aligns with computing notation, and the Roman numeral CLXX keeps the encyclopedic tradition alive. These attributes make 170 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 170 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (165–175) to tune search ranges, and educators feature 170 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 170 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 170
Is 170 a prime number?
170 is composite with 8 total factors and the prime factorization 2 × 5 × 17.
What is the prime factorization of 170?
It breaks down as 2 × 5 × 17, multiplying the primes 2 × 5 × 17.
How is 170 represented in binary and hexadecimal?
170 converts to 10101010 in binary and AA in hexadecimal, which are helpful for computer science applications.
Is 170 a perfect square, cube, or triangular number?
170 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 170?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.