4272
4272 is a even composite number that follows 4271 and precedes 4273. It is composed of 20 distinct factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 89, 178, 267, 356, 534, 712, 1068, 1424, 2136, 4272. Its prime factorization can be written as 2^4 × 3 × 89. 4272 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4272 is represented as 1000010110000 in binary and 10B0 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 3 × 89) reveals 6 prime building blocks.
Divisible by 2
4272 ends in 2, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 72 form a multiple of 4.
Divisible by 5
4272 does not end in 0 or 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
4272 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Abundant classification and digit analytics place 4272 within several notable number theory sequences:
Timeline
Deep dive
How 4272 breaks down
4272 carries 20 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 6888, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000010110000 supports bitwise reasoning, hexadecimal 10B0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4272 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4272 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4267–4277) to tune search ranges, and educators feature 4272 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 4272 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 4272
Is 4272 a prime number?
4272 is composite with 20 total factors and the prime factorization 2^4 × 3 × 89.
What is the prime factorization of 4272?
It breaks down as 2^4 × 3 × 89, multiplying the primes 2 × 2 × 2 × 2 × 3 × 89.
How is 4272 represented in binary and hexadecimal?
4272 converts to 1000010110000 in binary and 10B0 in hexadecimal, which are helpful for computer science applications.
Is 4272 a perfect square, cube, or triangular number?
4272 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4272?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.