159
159 is a odd composite number that follows 158 and precedes 160. It is composed of 4 distinct factors: 1, 3, 53, 159. Its prime factorization can be written as 3 × 53. 159 is classified as a deficient number based on the sum of its proper divisors. In computer science, 159 is represented as 10011111 in binary and 9F in hexadecimal. Historically, it is written as CLIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 53) reveals 2 prime building blocks.
Divisible by 2
159 ends in 9, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 59 are not divisible by 4.
Divisible by 5
159 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 15 is not a multiple of 9.
Divisible by 10
159 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 159 within several notable number theory sequences:
Timeline
Deep dive
How 159 breaks down
159 carries 4 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 57, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10011111 supports bitwise reasoning, hexadecimal 9F aligns with computing notation, and the Roman numeral CLIX keeps the encyclopedic tradition alive. These attributes make 159 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 159 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (154–164) to tune search ranges, and educators feature 159 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 159 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 159
Is 159 a prime number?
159 is composite with 4 total factors and the prime factorization 3 × 53.
What is the prime factorization of 159?
It breaks down as 3 × 53, multiplying the primes 3 × 53.
How is 159 represented in binary and hexadecimal?
159 converts to 10011111 in binary and 9F in hexadecimal, which are helpful for computer science applications.
Is 159 a perfect square, cube, or triangular number?
159 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 159?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.