4173
4173 is a odd composite number that follows 4172 and precedes 4174. It is composed of 8 distinct factors: 1, 3, 13, 39, 107, 321, 1391, 4173. Its prime factorization can be written as 3 × 13 × 107. 4173 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4173 is represented as 1000001001101 in binary and 104D in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 13 × 107) reveals 3 prime building blocks.
Divisible by 2
4173 ends in 3, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 73 are not divisible by 4.
Divisible by 5
4173 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
4173 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 4173 within several notable number theory sequences:
Timeline
Deep dive
How 4173 breaks down
4173 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 1875, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000001001101 supports bitwise reasoning, hexadecimal 104D aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4173 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4173 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4168–4178) to tune search ranges, and educators feature 4173 in worksheets about factor trees. Its binary footprint of length 13 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 4173 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 4173
Is 4173 a prime number?
4173 is composite with 8 total factors and the prime factorization 3 × 13 × 107.
What is the prime factorization of 4173?
It breaks down as 3 × 13 × 107, multiplying the primes 3 × 13 × 107.
How is 4173 represented in binary and hexadecimal?
4173 converts to 1000001001101 in binary and 104D in hexadecimal, which are helpful for computer science applications.
Is 4173 a perfect square, cube, or triangular number?
4173 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4173?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.