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Composite Number

979

979 is a odd composite number that follows 978 and precedes 980. It is composed of 4 distinct factors: 1, 11, 89, 979. Its prime factorization can be written as 11 × 89. 979 is classified as a deficient number based on the sum of its proper divisors. In computer science, 979 is represented as 1111010011 in binary and 3D3 in hexadecimal. Historically, it is written as CMLXXIX in Roman numerals.

Roman Numeral
CMLXXIX
LatinClassic
Binary
1111010011
Base 2
Hexadecimal
3D3
Base 16

Factor Analysis

4 Factors

Properties

ParityOdd
Perfect SquareNo
Perfect CubeNo
Digit Count3
Digit Sum25
Digital Root7
Sum of Factors1080
Aliquot Sum101
ClassificationDeficient
Prime Factors2
SequencesComposite numbers, Deficient numbers
Prime Factorization

The prime factorization (11 × 89) reveals 2 prime building blocks.

Canonical form
11 × 89
1189
Divisibility Insights
  • Divisible by 2

    979 ends in 9, so it is odd.

  • Divisible by 3

    The digit sum 25 is not a multiple of 3.

  • Divisible by 4

    The last two digits 79 are not divisible by 4.

  • Divisible by 5

    979 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 25 is not a multiple of 9.

  • Divisible by 10

    979 does not end in 0.

  • Divisible by 11

    The alternating digit sum 11 is a multiple of 11.

Sequence Membership

Deficient classification and digit analytics place 979 within several notable number theory sequences:

Composite numbersDeficient numbers
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Deep dive

How 979 breaks down

979 carries 4 distinct factors and a digit signature of 25 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 101, which stays below the number, offering a quick glimpse into its abundance profile.

Numeral conversions provide additional context: the binary form 1111010011 supports bitwise reasoning, hexadecimal 3D3 aligns with computing notation, and the Roman numeral CMLXXIX keeps the encyclopedic tradition alive. These attributes make 979 useful for math olympiad problems, puzzle design, and code challenges alike.

Context

Where 979 shows up

Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (974984) to tune search ranges, and educators feature 979 in worksheets about factor trees. Its binary footprint of length 10 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 979 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 979

Is 979 a prime number?

979 is composite with 4 total factors and the prime factorization 11 × 89.

What is the prime factorization of 979?

It breaks down as 11 × 89, multiplying the primes 11 × 89.

How is 979 represented in binary and hexadecimal?

979 converts to 1111010011 in binary and 3D3 in hexadecimal, which are helpful for computer science applications.

Is 979 a perfect square, cube, or triangular number?

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

What are the digit sum and digital root of 979?

The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.