2466
2466 is a even composite number that follows 2465 and precedes 2467. It is composed of 12 distinct factors: 1, 2, 3, 6, 9, 18, 137, 274, 411, 822, 1233, 2466. Its prime factorization can be written as 2 × 3^2 × 137. 2466 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2466 is represented as 100110100010 in binary and 9A2 in hexadecimal. Historically, it is written as MMCDLXVI in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 3^2 × 137) reveals 4 prime building blocks.
Divisible by 2
2466 ends in 6, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 66 are not divisible by 4.
Divisible by 5
2466 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
2466 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 2466 within several notable number theory sequences:
Timeline
Deep dive
How 2466 breaks down
2466 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 2916, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100110100010 supports bitwise reasoning, hexadecimal 9A2 aligns with computing notation, and the Roman numeral MMCDLXVI keeps the encyclopedic tradition alive. These attributes make 2466 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2466 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2461–2471) to tune search ranges, and educators feature 2466 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 2466 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 2466
Is 2466 a prime number?
2466 is composite with 12 total factors and the prime factorization 2 × 3^2 × 137.
What is the prime factorization of 2466?
It breaks down as 2 × 3^2 × 137, multiplying the primes 2 × 3 × 3 × 137.
How is 2466 represented in binary and hexadecimal?
2466 converts to 100110100010 in binary and 9A2 in hexadecimal, which are helpful for computer science applications.
Is 2466 a perfect square, cube, or triangular number?
2466 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2466?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.