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The number 24129

24129 is a composite number with 12 divisors. Its prime factorisation is 323^{2} × 7 × 383. Divisors (12): 1, 3, 7, 9, 21, 63, 383, 1149, 2681, 3447, 8043, 24129.

Number

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How to work it out

  1. 1

    24129 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    24129 is composite. Its prime factorisation is

    24129=32×7×38324129 = 3^{2} \times 7 \times 383
  3. 3

    The divisors add up to 39936; without 24129 itself that is 15807, so 24129 is deficient (15807 is less than 24129). Euler's totient φ(24129) = 13752 numbers up to 24129 share no factor with it.

  4. 4

    The digits of 24129 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.

LaTeX source of the formulas on this page
\[ 24129 = 3^{2} \times 7 \times 383 \]

24129 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors39936
Euler totient φ(n)13752
Square582208641
Cube14048112298689
Square root155.335122 (= 3√2681)
Digit sum / digital root18 / 9
Collatz steps to 151
Scientific notation2.4129 × 10410^{4}

24129 in other forms

FormValue
In wordstwenty-four thousand one hundred and twenty-nine
Binary (base 2)101111001000001
Octal (base 8)57101
Hexadecimal (base 16)5E41
Base 31020002200
As time24129 seconds = 6 h 42 min 9 s

Is 24129 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (24129 ÷ 3 = 8043)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (24129 ÷ 7 = 3447)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (24129 ÷ 9 = 2681)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 24129 a prime number?

No. 24129 = 323^{2} × 7 × 383, so it is divisible by 3.

What are the factors of 24129?

1, 3, 7, 9, 21, 63, 383, 1149, 2681, 3447, 8043, 24129.

What is 24129 in binary?

101111001000001 (hexadecimal 5E41, octal 57101).

What is the square root of 24129?

About 155.3351, exactly 3√2681.

Is 24129 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 24129?

It is a composite number with 12 divisors.

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    24129: is it prime? Factors, square root, binary, Roman numeral | WordGPT