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Composite Number

246

246 is a even composite number that follows 245 and precedes 247. It is composed of 8 distinct factors: 1, 2, 3, 6, 41, 82, 123, 246. Its prime factorization can be written as 2 × 3 × 41. 246 is classified as a abundant number based on the sum of its proper divisors. In computer science, 246 is represented as 11110110 in binary and F6 in hexadecimal. Historically, it is written as CCXLVI in Roman numerals.

Roman Numeral
CCXLVI
LatinClassic
Binary
11110110
Base 2
Hexadecimal
F6
Base 16

Factor Analysis

8 Factors

Properties

ParityEven
Perfect SquareNo
Perfect CubeNo
Digit Count3
Digit Sum12
Digital Root3
Sum of Factors504
Aliquot Sum258
ClassificationAbundant
Prime Factors3
SequencesComposite numbers, Abundant numbers
Prime Factorization

The prime factorization (2 × 3 × 41) reveals 3 prime building blocks.

Canonical form
2 × 3 × 41
2341
Divisibility Insights
  • Divisible by 2

    246 ends in 6, so it is even.

  • Divisible by 3

    The digit sum 12 is a multiple of 3.

  • Divisible by 4

    The last two digits 46 are not divisible by 4.

  • Divisible by 5

    246 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 12 is not a multiple of 9.

  • Divisible by 10

    246 does not end in 0.

  • Divisible by 11

    The alternating digit sum 4 is not a multiple of 11.

Sequence Membership

Abundant classification and digit analytics place 246 within several notable number theory sequences:

Composite numbersAbundant numbers
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Deep dive

How 246 breaks down

246 carries 8 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 258, which exceeds the number, offering a quick glimpse into its abundance profile.

Numeral conversions provide additional context: the binary form 11110110 supports bitwise reasoning, hexadecimal F6 aligns with computing notation, and the Roman numeral CCXLVI keeps the encyclopedic tradition alive. These attributes make 246 useful for math olympiad problems, puzzle design, and code challenges alike.

Context

Where 246 shows up

Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (241251) to tune search ranges, and educators feature 246 in worksheets about factor trees. Its binary footprint of length 8 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 246 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 246

Is 246 a prime number?

246 is composite with 8 total factors and the prime factorization 2 × 3 × 41.

What is the prime factorization of 246?

It breaks down as 2 × 3 × 41, multiplying the primes 2 × 3 × 41.

How is 246 represented in binary and hexadecimal?

246 converts to 11110110 in binary and F6 in hexadecimal, which are helpful for computer science applications.

Is 246 a perfect square, cube, or triangular number?

246 is not a perfect square, is not a perfect cube, and is not triangular.

What are the digit sum and digital root of 246?

The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.