760
760 is a even composite number that follows 759 and precedes 761. It is composed of 16 distinct factors: 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760. Its prime factorization can be written as 2^3 × 5 × 19. 760 is classified as a abundant number based on the sum of its proper divisors. In computer science, 760 is represented as 1011111000 in binary and 2F8 in hexadecimal. Historically, it is written as DCCLX in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 5 × 19) reveals 5 prime building blocks.
Divisible by 2
760 ends in 0, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 60 form a multiple of 4.
Divisible by 5
760 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 13 is not a multiple of 9.
Divisible by 10
760 ends in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 760 within several notable number theory sequences:
Timeline
Deep dive
How 760 breaks down
760 carries 16 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 1040, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011111000 supports bitwise reasoning, hexadecimal 2F8 aligns with computing notation, and the Roman numeral DCCLX keeps the encyclopedic tradition alive. These attributes make 760 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 760 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (755–765) to tune search ranges, and educators feature 760 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 760 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 760
Is 760 a prime number?
760 is composite with 16 total factors and the prime factorization 2^3 × 5 × 19.
What is the prime factorization of 760?
It breaks down as 2^3 × 5 × 19, multiplying the primes 2 × 2 × 2 × 5 × 19.
How is 760 represented in binary and hexadecimal?
760 converts to 1011111000 in binary and 2F8 in hexadecimal, which are helpful for computer science applications.
Is 760 a perfect square, cube, or triangular number?
760 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 760?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.