4260
4260 is a even composite number that follows 4259 and precedes 4261. It is composed of 24 distinct factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 71, 142, 213, 284, 355, 426, 710, 852, 1065, 1420, 2130, 4260. Its prime factorization can be written as 2^2 × 3 × 5 × 71. 4260 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4260 is represented as 1000010100100 in binary and 10A4 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 3 × 5 × 71) reveals 5 prime building blocks.
Divisible by 2
4260 ends in 0, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 60 form a multiple of 4.
Divisible by 5
4260 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 12 is not a multiple of 9.
Divisible by 10
4260 ends in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Abundant classification and digit analytics place 4260 within several notable number theory sequences:
Timeline
Deep dive
How 4260 breaks down
4260 carries 24 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 7836, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000010100100 supports bitwise reasoning, hexadecimal 10A4 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4260 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4260 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4255–4265) to tune search ranges, and educators feature 4260 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 4260 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 4260
Is 4260 a prime number?
4260 is composite with 24 total factors and the prime factorization 2^2 × 3 × 5 × 71.
What is the prime factorization of 4260?
It breaks down as 2^2 × 3 × 5 × 71, multiplying the primes 2 × 2 × 3 × 5 × 71.
How is 4260 represented in binary and hexadecimal?
4260 converts to 1000010100100 in binary and 10A4 in hexadecimal, which are helpful for computer science applications.
Is 4260 a perfect square, cube, or triangular number?
4260 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4260?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.