179
179 is a odd prime number that follows 178 and precedes 180. As a prime number, 179 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 179. 179 is classified as a deficient number based on the sum of its proper divisors. In computer science, 179 is represented as 10110011 in binary and B3 in hexadecimal. Historically, it is written as CLXXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
179 is prime, so its only factors are 1 and 179.
Divisible by 2
179 ends in 9, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 79 are not divisible by 4.
Divisible by 5
179 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 17 is not a multiple of 9.
Divisible by 10
179 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 179 within several notable number theory sequences:
Timeline
Deep dive
How 179 breaks down
179 carries 2 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10110011 supports bitwise reasoning, hexadecimal B3 aligns with computing notation, and the Roman numeral CLXXIX keeps the encyclopedic tradition alive. These attributes make 179 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 179 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (174–184) to tune search ranges, and educators feature 179 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 179 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 179
Is 179 a prime number?
179 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 179?
179 is already prime, so the factorization is simply 179.
How is 179 represented in binary and hexadecimal?
179 converts to 10110011 in binary and B3 in hexadecimal, which are helpful for computer science applications.
Is 179 a perfect square, cube, or triangular number?
179 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 179?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.