3773
3773 is a odd composite number that follows 3772 and precedes 3774. It is composed of 8 distinct factors: 1, 7, 11, 49, 77, 343, 539, 3773. Its prime factorization can be written as 7^3 × 11. 3773 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3773 is represented as 111010111101 in binary and EBD in hexadecimal. Historically, it is written as MMMDCCLXXIII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (7^3 × 11) reveals 4 prime building blocks.
Divisible by 2
3773 ends in 3, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 73 are not divisible by 4.
Divisible by 5
3773 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 20 is not a multiple of 9.
Divisible by 10
3773 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 3773 within several notable number theory sequences:
Timeline
Deep dive
How 3773 breaks down
3773 carries 8 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1027, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111010111101 supports bitwise reasoning, hexadecimal EBD aligns with computing notation, and the Roman numeral MMMDCCLXXIII keeps the encyclopedic tradition alive. These attributes make 3773 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3773 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3768–3778) to tune search ranges, and educators feature 3773 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 3773 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 3773
Is 3773 a prime number?
3773 is composite with 8 total factors and the prime factorization 7^3 × 11.
What is the prime factorization of 3773?
It breaks down as 7^3 × 11, multiplying the primes 7 × 7 × 7 × 11.
How is 3773 represented in binary and hexadecimal?
3773 converts to 111010111101 in binary and EBD in hexadecimal, which are helpful for computer science applications.
Is 3773 a perfect square, cube, or triangular number?
3773 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3773?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.