16390
16390 is a even composite number that follows 16389 and precedes 16391. It is composed of 16 distinct factors: 1, 2, 5, 10, 11, 22, 55, 110, 149, 298, 745, 1490, 1639, 3278, 8195, 16390. Its prime factorization can be written as 2 × 5 × 11 × 149. 16390 is classified as a deficient number based on the sum of its proper divisors. In computer science, 16390 is represented as 100000000000110 in binary and 4006 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 5 × 11 × 149) reveals 4 prime building blocks.
Divisible by 2
16390 ends in 0, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
16390 ends in 0, so it is divisible by 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
16390 ends in 0.
Divisible by 11
The alternating digit sum -11 is a multiple of 11.
Deficient classification and digit analytics place 16390 within several notable number theory sequences:
Timeline
Deep dive
How 16390 breaks down
16390 carries 16 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 16010, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100000000000110 supports bitwise reasoning, hexadecimal 4006 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 16390 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 16390 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (16385–16395) to tune search ranges, and educators feature 16390 in worksheets about factor trees. Its binary footprint of length 15 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 16390 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 16390
Is 16390 a prime number?
16390 is composite with 16 total factors and the prime factorization 2 × 5 × 11 × 149.
What is the prime factorization of 16390?
It breaks down as 2 × 5 × 11 × 149, multiplying the primes 2 × 5 × 11 × 149.
How is 16390 represented in binary and hexadecimal?
16390 converts to 100000000000110 in binary and 4006 in hexadecimal, which are helpful for computer science applications.
Is 16390 a perfect square, cube, or triangular number?
16390 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 16390?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.