6416
6416 is a even composite number that follows 6415 and precedes 6417. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 401, 802, 1604, 3208, 6416. Its prime factorization can be written as 2^4 × 401. 6416 is classified as a deficient number based on the sum of its proper divisors. In computer science, 6416 is represented as 1100100010000 in binary and 1910 in hexadecimal.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 401) reveals 5 prime building blocks.
Divisible by 2
6416 ends in 6, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 16 form a multiple of 4.
Divisible by 5
6416 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 17 is not a multiple of 9.
Divisible by 10
6416 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 6416 within several notable number theory sequences:
Timeline
Deep dive
How 6416 breaks down
6416 carries 10 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 6046, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100100010000 supports bitwise reasoning, hexadecimal 1910 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 6416 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 6416 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (6411–6421) to tune search ranges, and educators feature 6416 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, Deficient numbers) help historians, numerologists, and trivia writers tie 6416 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 6416
Is 6416 a prime number?
6416 is composite with 10 total factors and the prime factorization 2^4 × 401.
What is the prime factorization of 6416?
It breaks down as 2^4 × 401, multiplying the primes 2 × 2 × 2 × 2 × 401.
How is 6416 represented in binary and hexadecimal?
6416 converts to 1100100010000 in binary and 1910 in hexadecimal, which are helpful for computer science applications.
Is 6416 a perfect square, cube, or triangular number?
6416 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 6416?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.