2616
2616 is a even composite number that follows 2615 and precedes 2617. It is composed of 16 distinct factors: 1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308, 2616. Its prime factorization can be written as 2^3 × 3 × 109. 2616 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2616 is represented as 101000111000 in binary and A38 in hexadecimal. Historically, it is written as MMDCXVI in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 3 × 109) reveals 5 prime building blocks.
Divisible by 2
2616 ends in 6, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 16 form a multiple of 4.
Divisible by 5
2616 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 15 is not a multiple of 9.
Divisible by 10
2616 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Abundant classification and digit analytics place 2616 within several notable number theory sequences:
Timeline
Deep dive
How 2616 breaks down
2616 carries 16 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 3984, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101000111000 supports bitwise reasoning, hexadecimal A38 aligns with computing notation, and the Roman numeral MMDCXVI keeps the encyclopedic tradition alive. These attributes make 2616 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2616 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2611–2621) to tune search ranges, and educators feature 2616 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, Abundant numbers) help historians, numerologists, and trivia writers tie 2616 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 2616
Is 2616 a prime number?
2616 is composite with 16 total factors and the prime factorization 2^3 × 3 × 109.
What is the prime factorization of 2616?
It breaks down as 2^3 × 3 × 109, multiplying the primes 2 × 2 × 2 × 3 × 109.
How is 2616 represented in binary and hexadecimal?
2616 converts to 101000111000 in binary and A38 in hexadecimal, which are helpful for computer science applications.
Is 2616 a perfect square, cube, or triangular number?
2616 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2616?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.