3692
3692 is a even composite number that follows 3691 and precedes 3693. It is composed of 12 distinct factors: 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846, 3692. Its prime factorization can be written as 2^2 × 13 × 71. 3692 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3692 is represented as 111001101100 in binary and E6C in hexadecimal. Historically, it is written as MMMDCXCII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 13 × 71) reveals 4 prime building blocks.
Divisible by 2
3692 ends in 2, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 92 form a multiple of 4.
Divisible by 5
3692 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
3692 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 3692 within several notable number theory sequences:
Timeline
Deep dive
How 3692 breaks down
3692 carries 12 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 3364, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111001101100 supports bitwise reasoning, hexadecimal E6C aligns with computing notation, and the Roman numeral MMMDCXCII keeps the encyclopedic tradition alive. These attributes make 3692 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3692 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3687–3697) to tune search ranges, and educators feature 3692 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 3692 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 3692
Is 3692 a prime number?
3692 is composite with 12 total factors and the prime factorization 2^2 × 13 × 71.
What is the prime factorization of 3692?
It breaks down as 2^2 × 13 × 71, multiplying the primes 2 × 2 × 13 × 71.
How is 3692 represented in binary and hexadecimal?
3692 converts to 111001101100 in binary and E6C in hexadecimal, which are helpful for computer science applications.
Is 3692 a perfect square, cube, or triangular number?
3692 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3692?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.