3763
3763 is a odd composite number that follows 3762 and precedes 3764. It is composed of 4 distinct factors: 1, 53, 71, 3763. Its prime factorization can be written as 53 × 71. 3763 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3763 is represented as 111010110011 in binary and EB3 in hexadecimal. Historically, it is written as MMMDCCLXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (53 × 71) reveals 2 prime building blocks.
Divisible by 2
3763 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 63 are not divisible by 4.
Divisible by 5
3763 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
3763 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 3763 within several notable number theory sequences:
Timeline
Deep dive
How 3763 breaks down
3763 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 125, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111010110011 supports bitwise reasoning, hexadecimal EB3 aligns with computing notation, and the Roman numeral MMMDCCLXIII keeps the encyclopedic tradition alive. These attributes make 3763 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3763 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3758–3768) to tune search ranges, and educators feature 3763 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 3763 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 3763
Is 3763 a prime number?
3763 is composite with 4 total factors and the prime factorization 53 × 71.
What is the prime factorization of 3763?
It breaks down as 53 × 71, multiplying the primes 53 × 71.
How is 3763 represented in binary and hexadecimal?
3763 converts to 111010110011 in binary and EB3 in hexadecimal, which are helpful for computer science applications.
Is 3763 a perfect square, cube, or triangular number?
3763 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3763?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.