4020
4020 is a even composite number that follows 4019 and precedes 4021. It is composed of 24 distinct factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010, 4020. Its prime factorization can be written as 2^2 × 3 × 5 × 67. 4020 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4020 is represented as 111110110100 in binary and FB4 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 3 × 5 × 67) reveals 5 prime building blocks.
Divisible by 2
4020 ends in 0, so it is even.
Divisible by 3
The digit sum 6 is a multiple of 3.
Divisible by 4
The last two digits 20 form a multiple of 4.
Divisible by 5
4020 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 6 is not a multiple of 9.
Divisible by 10
4020 ends in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Abundant classification and digit analytics place 4020 within several notable number theory sequences:
Timeline
Deep dive
How 4020 breaks down
4020 carries 24 distinct factors and a digit signature of 6 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 7404, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111110110100 supports bitwise reasoning, hexadecimal FB4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4020 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4020 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4015–4025) to tune search ranges, and educators feature 4020 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 4020 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 4020
Is 4020 a prime number?
4020 is composite with 24 total factors and the prime factorization 2^2 × 3 × 5 × 67.
What is the prime factorization of 4020?
It breaks down as 2^2 × 3 × 5 × 67, multiplying the primes 2 × 2 × 3 × 5 × 67.
How is 4020 represented in binary and hexadecimal?
4020 converts to 111110110100 in binary and FB4 in hexadecimal, which are helpful for computer science applications.
Is 4020 a perfect square, cube, or triangular number?
4020 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4020?
The digits sum to 6, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.