3916
3916 is a even composite number that follows 3915 and precedes 3917. It is composed of 12 distinct factors: 1, 2, 4, 11, 22, 44, 89, 178, 356, 979, 1958, 3916. Its prime factorization can be written as 2^2 × 11 × 89. 3916 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3916 is represented as 111101001100 in binary and F4C in hexadecimal. Historically, it is written as MMMCMXVI in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 11 × 89) reveals 4 prime building blocks.
Divisible by 2
3916 ends in 6, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 16 form a multiple of 4.
Divisible by 5
3916 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 19 is not a multiple of 9.
Divisible by 10
3916 does not end in 0.
Divisible by 11
The alternating digit sum -11 is a multiple of 11.
Deficient classification and digit analytics place 3916 within several notable number theory sequences:
Timeline
Deep dive
How 3916 breaks down
3916 carries 12 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 3644, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111101001100 supports bitwise reasoning, hexadecimal F4C aligns with computing notation, and the Roman numeral MMMCMXVI keeps the encyclopedic tradition alive. These attributes make 3916 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3916 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3911–3921) to tune search ranges, and educators feature 3916 in worksheets about factor trees. Its binary footprint of length 12 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers, Triangular numbers) help historians, numerologists, and trivia writers tie 3916 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 3916
Is 3916 a prime number?
3916 is composite with 12 total factors and the prime factorization 2^2 × 11 × 89.
What is the prime factorization of 3916?
It breaks down as 2^2 × 11 × 89, multiplying the primes 2 × 2 × 11 × 89.
How is 3916 represented in binary and hexadecimal?
3916 converts to 111101001100 in binary and F4C in hexadecimal, which are helpful for computer science applications.
Is 3916 a perfect square, cube, or triangular number?
3916 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 3916?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.