3173
3173 is a odd composite number that follows 3172 and precedes 3174. It is composed of 4 distinct factors: 1, 19, 167, 3173. Its prime factorization can be written as 19 × 167. 3173 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3173 is represented as 110001100101 in binary and C65 in hexadecimal. Historically, it is written as MMMCLXXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (19 × 167) reveals 2 prime building blocks.
Divisible by 2
3173 ends in 3, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 73 are not divisible by 4.
Divisible by 5
3173 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 14 is not a multiple of 9.
Divisible by 10
3173 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 3173 within several notable number theory sequences:
Timeline
Deep dive
How 3173 breaks down
3173 carries 4 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 187, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110001100101 supports bitwise reasoning, hexadecimal C65 aligns with computing notation, and the Roman numeral MMMCLXXIII keeps the encyclopedic tradition alive. These attributes make 3173 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3173 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3168–3178) to tune search ranges, and educators feature 3173 in worksheets about factor trees. Its binary footprint of length 12 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 3173 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 3173
Is 3173 a prime number?
3173 is composite with 4 total factors and the prime factorization 19 × 167.
What is the prime factorization of 3173?
It breaks down as 19 × 167, multiplying the primes 19 × 167.
How is 3173 represented in binary and hexadecimal?
3173 converts to 110001100101 in binary and C65 in hexadecimal, which are helpful for computer science applications.
Is 3173 a perfect square, cube, or triangular number?
3173 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3173?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.