3668
3668 is a even composite number that follows 3667 and precedes 3669. It is composed of 12 distinct factors: 1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668. Its prime factorization can be written as 2^2 × 7 × 131. 3668 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3668 is represented as 111001010100 in binary and E54 in hexadecimal. Historically, it is written as MMMDCLXVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 7 × 131) reveals 4 prime building blocks.
Divisible by 2
3668 ends in 8, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 68 form a multiple of 4.
Divisible by 5
3668 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 23 is not a multiple of 9.
Divisible by 10
3668 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Abundant classification and digit analytics place 3668 within several notable number theory sequences:
Timeline
Deep dive
How 3668 breaks down
3668 carries 12 distinct factors and a digit signature of 23 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 3724, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111001010100 supports bitwise reasoning, hexadecimal E54 aligns with computing notation, and the Roman numeral MMMDCLXVIII keeps the encyclopedic tradition alive. These attributes make 3668 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3668 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3663–3673) to tune search ranges, and educators feature 3668 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, Abundant numbers) help historians, numerologists, and trivia writers tie 3668 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 3668
Is 3668 a prime number?
3668 is composite with 12 total factors and the prime factorization 2^2 × 7 × 131.
What is the prime factorization of 3668?
It breaks down as 2^2 × 7 × 131, multiplying the primes 2 × 2 × 7 × 131.
How is 3668 represented in binary and hexadecimal?
3668 converts to 111001010100 in binary and E54 in hexadecimal, which are helpful for computer science applications.
Is 3668 a perfect square, cube, or triangular number?
3668 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3668?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.