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The number 12429

12429 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 1381. Divisors (6): 1, 3, 9, 1381, 4143, 12429.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    12429 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

    12429 is composite. Its prime factorisation is

    12429=32×138112429 = 3^{2} \times 1381
  3. 3

    The divisors add up to 17966; without 12429 itself that is 5537, so 12429 is deficient (5537 is less than 12429). Euler's totient φ(12429) = 8280 numbers up to 12429 share no factor with it.

  4. 4

    The digits of 12429 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 125 steps to reach 1.

LaTeX source of the formulas on this page
\[ 12429 = 3^{2} \times 1381 \]

12429 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors17966
Euler totient φ(n)8280
Square154480041
Cube1920032429589
Square root111.485425 (= 3√1381)
Digit sum / digital root18 / 9
Collatz steps to 1125
Scientific notation1.2429 × 10410^{4}

12429 in other forms

FormValue
In wordstwelve thousand four hundred and twenty-nine
Binary (base 2)11000010001101
Octal (base 8)30215
Hexadecimal (base 16)308D
Base 3122001100
As time12429 seconds = 3 h 27 min 9 s

Is 12429 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 (12429 ÷ 3 = 4143)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.
7No (remainder 4)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (12429 ÷ 9 = 1381)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 10)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 12429 a prime number?

No. 12429 = 323^{2} × 1381, so it is divisible by 3.

What are the factors of 12429?

1, 3, 9, 1381, 4143, 12429.

What is 12429 in binary?

11000010001101 (hexadecimal 308D, octal 30215).

What is the square root of 12429?

About 111.4854, exactly 3√1381.

Is 12429 divisible by 3?

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

What is special about the number 12429?

It is a composite number with 6 divisors.

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