3621
3621 is a odd composite number that follows 3620 and precedes 3622. It is composed of 8 distinct factors: 1, 3, 17, 51, 71, 213, 1207, 3621. Its prime factorization can be written as 3 × 17 × 71. 3621 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3621 is represented as 111000100101 in binary and E25 in hexadecimal. Historically, it is written as MMMDCXXI in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 17 × 71) reveals 3 prime building blocks.
Divisible by 2
3621 ends in 1, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 21 are not divisible by 4.
Divisible by 5
3621 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 12 is not a multiple of 9.
Divisible by 10
3621 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 3621 within several notable number theory sequences:
Timeline
Deep dive
How 3621 breaks down
3621 carries 8 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 1563, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111000100101 supports bitwise reasoning, hexadecimal E25 aligns with computing notation, and the Roman numeral MMMDCXXI keeps the encyclopedic tradition alive. These attributes make 3621 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3621 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3616–3626) to tune search ranges, and educators feature 3621 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 3621 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 3621
Is 3621 a prime number?
3621 is composite with 8 total factors and the prime factorization 3 × 17 × 71.
What is the prime factorization of 3621?
It breaks down as 3 × 17 × 71, multiplying the primes 3 × 17 × 71.
How is 3621 represented in binary and hexadecimal?
3621 converts to 111000100101 in binary and E25 in hexadecimal, which are helpful for computer science applications.
Is 3621 a perfect square, cube, or triangular number?
3621 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3621?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.