1670
1670 is a even composite number that follows 1669 and precedes 1671. It is composed of 8 distinct factors: 1, 2, 5, 10, 167, 334, 835, 1670. Its prime factorization can be written as 2 × 5 × 167. 1670 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1670 is represented as 11010000110 in binary and 686 in hexadecimal. Historically, it is written as MDCLXX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 5 × 167) reveals 3 prime building blocks.
Divisible by 2
1670 ends in 0, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 70 are not divisible by 4.
Divisible by 5
1670 ends in 0, so it is divisible by 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
1670 ends in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 1670 within several notable number theory sequences:
Timeline
Deep dive
How 1670 breaks down
1670 carries 8 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 1354, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11010000110 supports bitwise reasoning, hexadecimal 686 aligns with computing notation, and the Roman numeral MDCLXX keeps the encyclopedic tradition alive. These attributes make 1670 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1670 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1665–1675) to tune search ranges, and educators feature 1670 in worksheets about factor trees. Its binary footprint of length 11 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 1670 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 1670
Is 1670 a prime number?
1670 is composite with 8 total factors and the prime factorization 2 × 5 × 167.
What is the prime factorization of 1670?
It breaks down as 2 × 5 × 167, multiplying the primes 2 × 5 × 167.
How is 1670 represented in binary and hexadecimal?
1670 converts to 11010000110 in binary and 686 in hexadecimal, which are helpful for computer science applications.
Is 1670 a perfect square, cube, or triangular number?
1670 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1670?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.