N
NumberPedia
Menu

© 2026 NumberPedia

Prime Number

24023

24023 is a odd prime number that follows 24022 and precedes 24024. As a prime number, 24023 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 24023. 24023 is classified as a deficient number based on the sum of its proper divisors. In computer science, 24023 is represented as 101110111010111 in binary and 5DD7 in hexadecimal.

Roman Numeral
N/A (1-3999)
LatinClassic
Binary
101110111010111
Base 2
Hexadecimal
5DD7
Base 16

Factor Analysis

2 Factors

Properties

ParityOdd
Perfect SquareNo
Perfect CubeNo
Digit Count5
Digit Sum11
Digital Root2
Sum of Factors24024
Aliquot Sum1
ClassificationDeficient
Prime Factors1
SequencesPrime numbers, Deficient numbers
Prime Factorization

24023 is prime, so its only factors are 1 and 24023.

Canonical form
24023
24023
Divisibility Insights
  • Divisible by 2

    24023 ends in 3, so it is odd.

  • Divisible by 3

    The digit sum 11 is not a multiple of 3.

  • Divisible by 4

    The last two digits 23 are not divisible by 4.

  • Divisible by 5

    24023 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 11 is not a multiple of 9.

  • Divisible by 10

    24023 does not end in 0.

  • Divisible by 11

    The alternating digit sum -1 is not a multiple of 11.

Sequence Membership

Deficient classification and digit analytics place 24023 within several notable number theory sequences:

Prime numbersDeficient numbers
Advertisement

Deep dive

How 24023 breaks down

24023 carries 2 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.

Numeral conversions provide additional context: the binary form 101110111010111 supports bitwise reasoning, hexadecimal 5DD7 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 24023 useful for math olympiad problems, puzzle design, and code challenges alike.

Context

Where 24023 shows up

Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2401824028) to tune search ranges, and educators feature 24023 in worksheets about prime identification. Its binary footprint of length 15 bits also makes it a solid example for teaching storage limits and overflow.

Beyond STEM, the classification and sequence tags (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 24023 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 24023

Is 24023 a prime number?

24023 is prime, meaning it is only divisible by 1 and itself.

What is the prime factorization of 24023?

24023 is already prime, so the factorization is simply 24023.

How is 24023 represented in binary and hexadecimal?

24023 converts to 101110111010111 in binary and 5DD7 in hexadecimal, which are helpful for computer science applications.

Is 24023 a perfect square, cube, or triangular number?

24023 is not a perfect square, is not a perfect cube, and is not triangular.

What are the digit sum and digital root of 24023?

The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.