3620
3620 is a even composite number that follows 3619 and precedes 3621. It is composed of 12 distinct factors: 1, 2, 4, 5, 10, 20, 181, 362, 724, 905, 1810, 3620. Its prime factorization can be written as 2^2 × 5 × 181. 3620 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3620 is represented as 111000100100 in binary and E24 in hexadecimal. Historically, it is written as MMMDCXX in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 5 × 181) reveals 4 prime building blocks.
Divisible by 2
3620 ends in 0, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 20 form a multiple of 4.
Divisible by 5
3620 ends in 0, 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 11 is not a multiple of 9.
Divisible by 10
3620 ends in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 3620 within several notable number theory sequences:
Timeline
Deep dive
How 3620 breaks down
3620 carries 12 distinct factors and a digit signature of 11 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 4024, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111000100100 supports bitwise reasoning, hexadecimal E24 aligns with computing notation, and the Roman numeral MMMDCXX keeps the encyclopedic tradition alive. These attributes make 3620 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3620 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3615–3625) to tune search ranges, and educators feature 3620 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 3620 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 3620
Is 3620 a prime number?
3620 is composite with 12 total factors and the prime factorization 2^2 × 5 × 181.
What is the prime factorization of 3620?
It breaks down as 2^2 × 5 × 181, multiplying the primes 2 × 2 × 5 × 181.
How is 3620 represented in binary and hexadecimal?
3620 converts to 111000100100 in binary and E24 in hexadecimal, which are helpful for computer science applications.
Is 3620 a perfect square, cube, or triangular number?
3620 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3620?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.