4270
4270 is a even composite number that follows 4269 and precedes 4271. It is composed of 16 distinct factors: 1, 2, 5, 7, 10, 14, 35, 61, 70, 122, 305, 427, 610, 854, 2135, 4270. Its prime factorization can be written as 2 × 5 × 7 × 61. 4270 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4270 is represented as 1000010101110 in binary and 10AE in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 5 × 7 × 61) reveals 4 prime building blocks.
Divisible by 2
4270 ends in 0, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 70 are not divisible by 4.
Divisible by 5
4270 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 13 is not a multiple of 9.
Divisible by 10
4270 ends in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Abundant classification and digit analytics place 4270 within several notable number theory sequences:
Timeline
Deep dive
How 4270 breaks down
4270 carries 16 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 4658, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000010101110 supports bitwise reasoning, hexadecimal 10AE aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4270 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4270 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4265–4275) to tune search ranges, and educators feature 4270 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 4270 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 4270
Is 4270 a prime number?
4270 is composite with 16 total factors and the prime factorization 2 × 5 × 7 × 61.
What is the prime factorization of 4270?
It breaks down as 2 × 5 × 7 × 61, multiplying the primes 2 × 5 × 7 × 61.
How is 4270 represented in binary and hexadecimal?
4270 converts to 1000010101110 in binary and 10AE in hexadecimal, which are helpful for computer science applications.
Is 4270 a perfect square, cube, or triangular number?
4270 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4270?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.