770
770 is a even composite number that follows 769 and precedes 771. It is composed of 16 distinct factors: 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770. Its prime factorization can be written as 2 × 5 × 7 × 11. 770 is classified as a abundant number based on the sum of its proper divisors. In computer science, 770 is represented as 1100000010 in binary and 302 in hexadecimal. Historically, it is written as DCCLXX in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 5 × 7 × 11) reveals 4 prime building blocks.
Divisible by 2
770 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
770 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
770 ends in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 770 within several notable number theory sequences:
Timeline
Deep dive
How 770 breaks down
770 carries 16 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 958, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100000010 supports bitwise reasoning, hexadecimal 302 aligns with computing notation, and the Roman numeral DCCLXX keeps the encyclopedic tradition alive. These attributes make 770 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 770 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (765–775) to tune search ranges, and educators feature 770 in worksheets about factor trees. Its binary footprint of length 10 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 770 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 770
Is 770 a prime number?
770 is composite with 16 total factors and the prime factorization 2 × 5 × 7 × 11.
What is the prime factorization of 770?
It breaks down as 2 × 5 × 7 × 11, multiplying the primes 2 × 5 × 7 × 11.
How is 770 represented in binary and hexadecimal?
770 converts to 1100000010 in binary and 302 in hexadecimal, which are helpful for computer science applications.
Is 770 a perfect square, cube, or triangular number?
770 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 770?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.