916
916 is a even composite number that follows 915 and precedes 917. It is composed of 6 distinct factors: 1, 2, 4, 229, 458, 916. Its prime factorization can be written as 2^2 × 229. 916 is classified as a deficient number based on the sum of its proper divisors. In computer science, 916 is represented as 1110010100 in binary and 394 in hexadecimal. Historically, it is written as CMXVI in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 229) reveals 3 prime building blocks.
Divisible by 2
916 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
916 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
916 does not end in 0.
Divisible by 11
The alternating digit sum 14 is not a multiple of 11.
Deficient classification and digit analytics place 916 within several notable number theory sequences:
Timeline
Deep dive
How 916 breaks down
916 carries 6 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 694, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110010100 supports bitwise reasoning, hexadecimal 394 aligns with computing notation, and the Roman numeral CMXVI keeps the encyclopedic tradition alive. These attributes make 916 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 916 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (911–921) to tune search ranges, and educators feature 916 in worksheets about factor trees. Its binary footprint of length 10 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 916 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 916
Is 916 a prime number?
916 is composite with 6 total factors and the prime factorization 2^2 × 229.
What is the prime factorization of 916?
It breaks down as 2^2 × 229, multiplying the primes 2 × 2 × 229.
How is 916 represented in binary and hexadecimal?
916 converts to 1110010100 in binary and 394 in hexadecimal, which are helpful for computer science applications.
Is 916 a perfect square, cube, or triangular number?
916 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 916?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.