1616
1616 is a even composite number that follows 1615 and precedes 1617. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 101, 202, 404, 808, 1616. Its prime factorization can be written as 2^4 × 101. 1616 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1616 is represented as 11001010000 in binary and 650 in hexadecimal. Historically, it is written as MDCXVI in Roman numerals.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 101) reveals 5 prime building blocks.
Divisible by 2
1616 ends in 6, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 16 form a multiple of 4.
Divisible by 5
1616 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 14 is not a multiple of 9.
Divisible by 10
1616 does not end in 0.
Divisible by 11
The alternating digit sum -10 is not a multiple of 11.
Deficient classification and digit analytics place 1616 within several notable number theory sequences:
Timeline
Deep dive
How 1616 breaks down
1616 carries 10 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 1546, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11001010000 supports bitwise reasoning, hexadecimal 650 aligns with computing notation, and the Roman numeral MDCXVI keeps the encyclopedic tradition alive. These attributes make 1616 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1616 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1611–1621) to tune search ranges, and educators feature 1616 in worksheets about factor trees. Its binary footprint of length 11 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 1616 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 1616
Is 1616 a prime number?
1616 is composite with 10 total factors and the prime factorization 2^4 × 101.
What is the prime factorization of 1616?
It breaks down as 2^4 × 101, multiplying the primes 2 × 2 × 2 × 2 × 101.
How is 1616 represented in binary and hexadecimal?
1616 converts to 11001010000 in binary and 650 in hexadecimal, which are helpful for computer science applications.
Is 1616 a perfect square, cube, or triangular number?
1616 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1616?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.