3699
3699 is a odd composite number that follows 3698 and precedes 3700. It is composed of 8 distinct factors: 1, 3, 9, 27, 137, 411, 1233, 3699. Its prime factorization can be written as 3^3 × 137. 3699 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3699 is represented as 111001110011 in binary and E73 in hexadecimal. Historically, it is written as MMMDCXCIX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3^3 × 137) reveals 4 prime building blocks.
Divisible by 2
3699 ends in 9, so it is odd.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 99 are not divisible by 4.
Divisible by 5
3699 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 27 is a multiple of 9.
Divisible by 10
3699 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 3699 within several notable number theory sequences:
Timeline
Deep dive
How 3699 breaks down
3699 carries 8 distinct factors and a digit signature of 27 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 1821, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111001110011 supports bitwise reasoning, hexadecimal E73 aligns with computing notation, and the Roman numeral MMMDCXCIX keeps the encyclopedic tradition alive. These attributes make 3699 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3699 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3694–3704) to tune search ranges, and educators feature 3699 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 3699 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 3699
Is 3699 a prime number?
3699 is composite with 8 total factors and the prime factorization 3^3 × 137.
What is the prime factorization of 3699?
It breaks down as 3^3 × 137, multiplying the primes 3 × 3 × 3 × 137.
How is 3699 represented in binary and hexadecimal?
3699 converts to 111001110011 in binary and E73 in hexadecimal, which are helpful for computer science applications.
Is 3699 a perfect square, cube, or triangular number?
3699 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3699?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.