4170
4170 is a even composite number that follows 4169 and precedes 4171. It is composed of 16 distinct factors: 1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085, 4170. Its prime factorization can be written as 2 × 3 × 5 × 139. 4170 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4170 is represented as 1000001001010 in binary and 104A in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 5 × 139) reveals 4 prime building blocks.
Divisible by 2
4170 ends in 0, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 70 are not divisible by 4.
Divisible by 5
4170 ends in 0, so it is divisible by 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 12 is not a multiple of 9.
Divisible by 10
4170 ends in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Abundant classification and digit analytics place 4170 within several notable number theory sequences:
Timeline
Deep dive
How 4170 breaks down
4170 carries 16 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 5910, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000001001010 supports bitwise reasoning, hexadecimal 104A aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4170 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4170 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4165–4175) to tune search ranges, and educators feature 4170 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, Abundant numbers) help historians, numerologists, and trivia writers tie 4170 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 4170
Is 4170 a prime number?
4170 is composite with 16 total factors and the prime factorization 2 × 3 × 5 × 139.
What is the prime factorization of 4170?
It breaks down as 2 × 3 × 5 × 139, multiplying the primes 2 × 3 × 5 × 139.
How is 4170 represented in binary and hexadecimal?
4170 converts to 1000001001010 in binary and 104A in hexadecimal, which are helpful for computer science applications.
Is 4170 a perfect square, cube, or triangular number?
4170 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4170?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.