773
773 is a odd prime number that follows 772 and precedes 774. As a prime number, 773 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 773. 773 is classified as a deficient number based on the sum of its proper divisors. In computer science, 773 is represented as 1100000101 in binary and 305 in hexadecimal. Historically, it is written as DCCLXXIII in Roman numerals.
Factor Analysis
2 FactorsProperties
773 is prime, so its only factors are 1 and 773.
Divisible by 2
773 ends in 3, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 73 are not divisible by 4.
Divisible by 5
773 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 17 is not a multiple of 9.
Divisible by 10
773 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 773 within several notable number theory sequences:
Timeline
Deep dive
How 773 breaks down
773 carries 2 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100000101 supports bitwise reasoning, hexadecimal 305 aligns with computing notation, and the Roman numeral DCCLXXIII keeps the encyclopedic tradition alive. These attributes make 773 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 773 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (768–778) to tune search ranges, and educators feature 773 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 773 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 773
Is 773 a prime number?
773 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 773?
773 is already prime, so the factorization is simply 773.
How is 773 represented in binary and hexadecimal?
773 converts to 1100000101 in binary and 305 in hexadecimal, which are helpful for computer science applications.
Is 773 a perfect square, cube, or triangular number?
773 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 773?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.