3682
3682 is a even composite number that follows 3681 and precedes 3683. It is composed of 8 distinct factors: 1, 2, 7, 14, 263, 526, 1841, 3682. Its prime factorization can be written as 2 × 7 × 263. 3682 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3682 is represented as 111001100010 in binary and E62 in hexadecimal. Historically, it is written as MMMDCLXXXII in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 7 × 263) reveals 3 prime building blocks.
Divisible by 2
3682 ends in 2, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 82 are not divisible by 4.
Divisible by 5
3682 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
3682 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Deficient classification and digit analytics place 3682 within several notable number theory sequences:
Timeline
Deep dive
How 3682 breaks down
3682 carries 8 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 2654, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111001100010 supports bitwise reasoning, hexadecimal E62 aligns with computing notation, and the Roman numeral MMMDCLXXXII keeps the encyclopedic tradition alive. These attributes make 3682 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3682 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3677–3687) to tune search ranges, and educators feature 3682 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 3682 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 3682
Is 3682 a prime number?
3682 is composite with 8 total factors and the prime factorization 2 × 7 × 263.
What is the prime factorization of 3682?
It breaks down as 2 × 7 × 263, multiplying the primes 2 × 7 × 263.
How is 3682 represented in binary and hexadecimal?
3682 converts to 111001100010 in binary and E62 in hexadecimal, which are helpful for computer science applications.
Is 3682 a perfect square, cube, or triangular number?
3682 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3682?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.