1620
1620 is a even composite number that follows 1619 and precedes 1621. It is composed of 30 distinct factors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620. Its prime factorization can be written as 2^2 × 3^4 × 5. 1620 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1620 is represented as 11001010100 in binary and 654 in hexadecimal. Historically, it is written as MDCXX in Roman numerals.
Factor Analysis
30 FactorsProperties
The prime factorization (2^2 × 3^4 × 5) reveals 7 prime building blocks.
Divisible by 2
1620 ends in 0, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 20 form a multiple of 4.
Divisible by 5
1620 ends in 0, so it is divisible by 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 9 is a multiple of 9.
Divisible by 10
1620 ends in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 1620 within several notable number theory sequences:
Timeline
Deep dive
How 1620 breaks down
1620 carries 30 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 3462, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11001010100 supports bitwise reasoning, hexadecimal 654 aligns with computing notation, and the Roman numeral MDCXX keeps the encyclopedic tradition alive. These attributes make 1620 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1620 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1615–1625) to tune search ranges, and educators feature 1620 in worksheets about factor trees. Its binary footprint of length 11 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 1620 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 1620
Is 1620 a prime number?
1620 is composite with 30 total factors and the prime factorization 2^2 × 3^4 × 5.
What is the prime factorization of 1620?
It breaks down as 2^2 × 3^4 × 5, multiplying the primes 2 × 2 × 3 × 3 × 3 × 3 × 5.
How is 1620 represented in binary and hexadecimal?
1620 converts to 11001010100 in binary and 654 in hexadecimal, which are helpful for computer science applications.
Is 1620 a perfect square, cube, or triangular number?
1620 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1620?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.