178
178 is a even composite number that follows 177 and precedes 179. It is composed of 4 distinct factors: 1, 2, 89, 178. Its prime factorization can be written as 2 × 89. 178 is classified as a deficient number based on the sum of its proper divisors. In computer science, 178 is represented as 10110010 in binary and B2 in hexadecimal. Historically, it is written as CLXXVIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 89) reveals 2 prime building blocks.
Divisible by 2
178 ends in 8, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 78 are not divisible by 4.
Divisible by 5
178 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 16 is not a multiple of 9.
Divisible by 10
178 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 178 within several notable number theory sequences:
Timeline
Deep dive
How 178 breaks down
178 carries 4 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 92, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10110010 supports bitwise reasoning, hexadecimal B2 aligns with computing notation, and the Roman numeral CLXXVIII keeps the encyclopedic tradition alive. These attributes make 178 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 178 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (173–183) to tune search ranges, and educators feature 178 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 178 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 178
Is 178 a prime number?
178 is composite with 4 total factors and the prime factorization 2 × 89.
What is the prime factorization of 178?
It breaks down as 2 × 89, multiplying the primes 2 × 89.
How is 178 represented in binary and hexadecimal?
178 converts to 10110010 in binary and B2 in hexadecimal, which are helpful for computer science applications.
Is 178 a perfect square, cube, or triangular number?
178 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 178?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.