2416
2416 is a even composite number that follows 2415 and precedes 2417. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 151, 302, 604, 1208, 2416. Its prime factorization can be written as 2^4 × 151. 2416 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2416 is represented as 100101110000 in binary and 970 in hexadecimal. Historically, it is written as MMCDXVI in Roman numerals.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 151) reveals 5 prime building blocks.
Divisible by 2
2416 ends in 6, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 16 form a multiple of 4.
Divisible by 5
2416 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 13 is not a multiple of 9.
Divisible by 10
2416 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 2416 within several notable number theory sequences:
Timeline
Deep dive
How 2416 breaks down
2416 carries 10 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 2296, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100101110000 supports bitwise reasoning, hexadecimal 970 aligns with computing notation, and the Roman numeral MMCDXVI keeps the encyclopedic tradition alive. These attributes make 2416 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2416 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2411–2421) to tune search ranges, and educators feature 2416 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 2416 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 2416
Is 2416 a prime number?
2416 is composite with 10 total factors and the prime factorization 2^4 × 151.
What is the prime factorization of 2416?
It breaks down as 2^4 × 151, multiplying the primes 2 × 2 × 2 × 2 × 151.
How is 2416 represented in binary and hexadecimal?
2416 converts to 100101110000 in binary and 970 in hexadecimal, which are helpful for computer science applications.
Is 2416 a perfect square, cube, or triangular number?
2416 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2416?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.