2664
2664 is a even composite number that follows 2663 and precedes 2665. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332, 2664. Its prime factorization can be written as 2^3 × 3^2 × 37. 2664 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2664 is represented as 101001101000 in binary and A68 in hexadecimal. Historically, it is written as MMDCLXIV in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2^3 × 3^2 × 37) reveals 6 prime building blocks.
Divisible by 2
2664 ends in 4, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
2664 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 18 is a multiple of 9.
Divisible by 10
2664 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Abundant classification and digit analytics place 2664 within several notable number theory sequences:
Timeline
Deep dive
How 2664 breaks down
2664 carries 24 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 4746, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101001101000 supports bitwise reasoning, hexadecimal A68 aligns with computing notation, and the Roman numeral MMDCLXIV keeps the encyclopedic tradition alive. These attributes make 2664 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2664 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2659–2669) to tune search ranges, and educators feature 2664 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 2664 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 2664
Is 2664 a prime number?
2664 is composite with 24 total factors and the prime factorization 2^3 × 3^2 × 37.
What is the prime factorization of 2664?
It breaks down as 2^3 × 3^2 × 37, multiplying the primes 2 × 2 × 2 × 3 × 3 × 37.
How is 2664 represented in binary and hexadecimal?
2664 converts to 101001101000 in binary and A68 in hexadecimal, which are helpful for computer science applications.
Is 2664 a perfect square, cube, or triangular number?
2664 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2664?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.