4016
4016 is a even composite number that follows 4015 and precedes 4017. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 251, 502, 1004, 2008, 4016. Its prime factorization can be written as 2^4 × 251. 4016 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4016 is represented as 111110110000 in binary and FB0 in hexadecimal.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 251) reveals 5 prime building blocks.
Divisible by 2
4016 ends in 6, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 16 form a multiple of 4.
Divisible by 5
4016 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 11 is not a multiple of 9.
Divisible by 10
4016 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 4016 within several notable number theory sequences:
Timeline
Deep dive
How 4016 breaks down
4016 carries 10 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 3796, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111110110000 supports bitwise reasoning, hexadecimal FB0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4016 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4016 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4011–4021) to tune search ranges, and educators feature 4016 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) help historians, numerologists, and trivia writers tie 4016 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 4016
Is 4016 a prime number?
4016 is composite with 10 total factors and the prime factorization 2^4 × 251.
What is the prime factorization of 4016?
It breaks down as 2^4 × 251, multiplying the primes 2 × 2 × 2 × 2 × 251.
How is 4016 represented in binary and hexadecimal?
4016 converts to 111110110000 in binary and FB0 in hexadecimal, which are helpful for computer science applications.
Is 4016 a perfect square, cube, or triangular number?
4016 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4016?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.