3764
3764 is a even composite number that follows 3763 and precedes 3765. It is composed of 6 distinct factors: 1, 2, 4, 941, 1882, 3764. Its prime factorization can be written as 2^2 × 941. 3764 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3764 is represented as 111010110100 in binary and EB4 in hexadecimal. Historically, it is written as MMMDCCLXIV in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 941) reveals 3 prime building blocks.
Divisible by 2
3764 ends in 4, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
3764 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
3764 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 3764 within several notable number theory sequences:
Timeline
Deep dive
How 3764 breaks down
3764 carries 6 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 2830, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111010110100 supports bitwise reasoning, hexadecimal EB4 aligns with computing notation, and the Roman numeral MMMDCCLXIV keeps the encyclopedic tradition alive. These attributes make 3764 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3764 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3759–3769) to tune search ranges, and educators feature 3764 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 3764 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 3764
Is 3764 a prime number?
3764 is composite with 6 total factors and the prime factorization 2^2 × 941.
What is the prime factorization of 3764?
It breaks down as 2^2 × 941, multiplying the primes 2 × 2 × 941.
How is 3764 represented in binary and hexadecimal?
3764 converts to 111010110100 in binary and EB4 in hexadecimal, which are helpful for computer science applications.
Is 3764 a perfect square, cube, or triangular number?
3764 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3764?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.