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The number 14229

14229 is a composite number with 16 divisors. Its prime factorisation is 333^{3} × 17 × 31. Divisors (16): 1, 3, 9, 17, 27, 31, 51, 93, 153, 279, 459, 527, 837, 1581, 4743, 14229.

Number

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How to work it out

  1. 1

    14229 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

    14229 is composite. Its prime factorisation is

    14229=33×17×3114229 = 3^{3} \times 17 \times 31
  3. 3

    The divisors add up to 23040; without 14229 itself that is 8811, so 14229 is deficient (8811 is less than 14229). Euler's totient φ(14229) = 8640 numbers up to 14229 share no factor with it.

  4. 4

    The digits of 14229 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 151 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14229 = 3^{3} \times 17 \times 31 \]

14229 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors23040
Euler totient φ(n)8640
Square202464441
Cube2880866530989
Square root119.285372 (= 3√1581)
Digit sum / digital root18 / 9
Collatz steps to 1151
Scientific notation1.4229 × 10410^{4}

14229 in other forms

FormValue
In wordsfourteen thousand two hundred and twenty-nine
Binary (base 2)11011110010101
Octal (base 8)33625
Hexadecimal (base 16)3795
Base 3201112000
As time14229 seconds = 3 h 57 min 9 s

Is 14229 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 (14229 ÷ 3 = 4743)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 5)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 (14229 ÷ 9 = 1581)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 14229 a prime number?

No. 14229 = 333^{3} × 17 × 31, so it is divisible by 3.

What are the factors of 14229?

1, 3, 9, 17, 27, 31, 51, 93, 153, 279, 459, 527, 837, 1581, 4743, 14229.

What is 14229 in binary?

11011110010101 (hexadecimal 3795, octal 33625).

What is the square root of 14229?

About 119.2854, exactly 3√1581.

Is 14229 divisible by 3?

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

What is special about the number 14229?

It is a composite number with 16 divisors.

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    14229: is it prime? Factors, square root, binary, Roman numeral | WordGPT