2346
2346 is a even composite number that follows 2345 and precedes 2347. It is composed of 16 distinct factors: 1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173, 2346. Its prime factorization can be written as 2 × 3 × 17 × 23. 2346 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2346 is represented as 100100101010 in binary and 92A in hexadecimal. Historically, it is written as MMCCCXLVI in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 17 × 23) reveals 4 prime building blocks.
Divisible by 2
2346 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 46 are not divisible by 4.
Divisible by 5
2346 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
2346 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 2346 within several notable number theory sequences:
Timeline
Deep dive
How 2346 breaks down
2346 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 2838, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100100101010 supports bitwise reasoning, hexadecimal 92A aligns with computing notation, and the Roman numeral MMCCCXLVI keeps the encyclopedic tradition alive. These attributes make 2346 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2346 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2341–2351) to tune search ranges, and educators feature 2346 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, Triangular numbers) help historians, numerologists, and trivia writers tie 2346 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 2346
Is 2346 a prime number?
2346 is composite with 16 total factors and the prime factorization 2 × 3 × 17 × 23.
What is the prime factorization of 2346?
It breaks down as 2 × 3 × 17 × 23, multiplying the primes 2 × 3 × 17 × 23.
How is 2346 represented in binary and hexadecimal?
2346 converts to 100100101010 in binary and 92A in hexadecimal, which are helpful for computer science applications.
Is 2346 a perfect square, cube, or triangular number?
2346 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 2346?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.