4290
4290 is a even composite number that follows 4289 and precedes 4291. It is composed of 32 distinct factors: 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145, 4290. Its prime factorization can be written as 2 × 3 × 5 × 11 × 13. 4290 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4290 is represented as 1000011000010 in binary and 10C2 in hexadecimal.
Factor Analysis
32 FactorsProperties
The prime factorization (2 × 3 × 5 × 11 × 13) reveals 5 prime building blocks.
Divisible by 2
4290 ends in 0, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
4290 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 15 is not a multiple of 9.
Divisible by 10
4290 ends in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Abundant classification and digit analytics place 4290 within several notable number theory sequences:
Timeline
Deep dive
How 4290 breaks down
4290 carries 32 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 7806, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000011000010 supports bitwise reasoning, hexadecimal 10C2 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4290 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4290 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4285–4295) to tune search ranges, and educators feature 4290 in worksheets about factor trees. Its binary footprint of length 13 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 4290 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 4290
Is 4290 a prime number?
4290 is composite with 32 total factors and the prime factorization 2 × 3 × 5 × 11 × 13.
What is the prime factorization of 4290?
It breaks down as 2 × 3 × 5 × 11 × 13, multiplying the primes 2 × 3 × 5 × 11 × 13.
How is 4290 represented in binary and hexadecimal?
4290 converts to 1000011000010 in binary and 10C2 in hexadecimal, which are helpful for computer science applications.
Is 4290 a perfect square, cube, or triangular number?
4290 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4290?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.