3655
3655 is a odd composite number that follows 3654 and precedes 3656. It is composed of 8 distinct factors: 1, 5, 17, 43, 85, 215, 731, 3655. Its prime factorization can be written as 5 × 17 × 43. 3655 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3655 is represented as 111001000111 in binary and E47 in hexadecimal. Historically, it is written as MMMDCLV in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
8 FactorsProperties
The prime factorization (5 × 17 × 43) reveals 3 prime building blocks.
Divisible by 2
3655 ends in 5, so it is odd.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 55 are not divisible by 4.
Divisible by 5
3655 ends in 5, so it is divisible by 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
3655 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 3655 within several notable number theory sequences:
Timeline
Deep dive
How 3655 breaks down
3655 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 1097, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111001000111 supports bitwise reasoning, hexadecimal E47 aligns with computing notation, and the Roman numeral MMMDCLV keeps the encyclopedic tradition alive. These attributes make 3655 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3655 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3650–3660) to tune search ranges, and educators feature 3655 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, Triangular numbers) help historians, numerologists, and trivia writers tie 3655 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 3655
Is 3655 a prime number?
3655 is composite with 8 total factors and the prime factorization 5 × 17 × 43.
What is the prime factorization of 3655?
It breaks down as 5 × 17 × 43, multiplying the primes 5 × 17 × 43.
How is 3655 represented in binary and hexadecimal?
3655 converts to 111001000111 in binary and E47 in hexadecimal, which are helpful for computer science applications.
Is 3655 a perfect square, cube, or triangular number?
3655 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 3655?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.