7216
7216 is a even composite number that follows 7215 and precedes 7217. It is composed of 20 distinct factors: 1, 2, 4, 8, 11, 16, 22, 41, 44, 82, 88, 164, 176, 328, 451, 656, 902, 1804, 3608, 7216. Its prime factorization can be written as 2^4 × 11 × 41. 7216 is classified as a abundant number based on the sum of its proper divisors. In computer science, 7216 is represented as 1110000110000 in binary and 1C30 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 11 × 41) reveals 6 prime building blocks.
Divisible by 2
7216 ends in 6, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 16 form a multiple of 4.
Divisible by 5
7216 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 16 is not a multiple of 9.
Divisible by 10
7216 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 7216 within several notable number theory sequences:
Timeline
Deep dive
How 7216 breaks down
7216 carries 20 distinct factors and a digit signature of 16 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 8408, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110000110000 supports bitwise reasoning, hexadecimal 1C30 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7216 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7216 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7211–7221) to tune search ranges, and educators feature 7216 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 7216 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 7216
Is 7216 a prime number?
7216 is composite with 20 total factors and the prime factorization 2^4 × 11 × 41.
What is the prime factorization of 7216?
It breaks down as 2^4 × 11 × 41, multiplying the primes 2 × 2 × 2 × 2 × 11 × 41.
How is 7216 represented in binary and hexadecimal?
7216 converts to 1110000110000 in binary and 1C30 in hexadecimal, which are helpful for computer science applications.
Is 7216 a perfect square, cube, or triangular number?
7216 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7216?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.