2773
2773 is a odd composite number that follows 2772 and precedes 2774. It is composed of 4 distinct factors: 1, 47, 59, 2773. Its prime factorization can be written as 47 × 59. 2773 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2773 is represented as 101011010101 in binary and AD5 in hexadecimal. Historically, it is written as MMDCCLXXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (47 × 59) reveals 2 prime building blocks.
Divisible by 2
2773 ends in 3, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 73 are not divisible by 4.
Divisible by 5
2773 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 19 is not a multiple of 9.
Divisible by 10
2773 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 2773 within several notable number theory sequences:
Timeline
Deep dive
How 2773 breaks down
2773 carries 4 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 107, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101011010101 supports bitwise reasoning, hexadecimal AD5 aligns with computing notation, and the Roman numeral MMDCCLXXIII keeps the encyclopedic tradition alive. These attributes make 2773 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2773 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2768–2778) to tune search ranges, and educators feature 2773 in worksheets about factor trees. Its binary footprint of length 12 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 2773 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 2773
Is 2773 a prime number?
2773 is composite with 4 total factors and the prime factorization 47 × 59.
What is the prime factorization of 2773?
It breaks down as 47 × 59, multiplying the primes 47 × 59.
How is 2773 represented in binary and hexadecimal?
2773 converts to 101011010101 in binary and AD5 in hexadecimal, which are helpful for computer science applications.
Is 2773 a perfect square, cube, or triangular number?
2773 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2773?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.