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The number 14427

14427 is a composite number with 12 divisors. Its prime factorisation is 323^{2} × 7 × 229. Divisors (12): 1, 3, 7, 9, 21, 63, 229, 687, 1603, 2061, 4809, 14427.

Number

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How to work it out

  1. 1

    What is special about 14427: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    14427 is composite. Its prime factorisation is

    14427=32×7×22914427 = 3^{2} \times 7 \times 229
  3. 3

    The divisors add up to 23920; without 14427 itself that is 9493, so 14427 is deficient (9493 is less than 14427). Euler's totient φ(14427) = 8208 numbers up to 14427 share no factor with it.

  4. 4

    The digits of 14427 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 195 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14427 = 3^{2} \times 7 \times 229 \]

14427 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors23920
Euler totient φ(n)8208
Square208138329
Cube3002811672483
Square root120.112447 (= 3√1603)
Digit sum / digital root18 / 9
Collatz steps to 1195
Scientific notation1.4427 × 10410^{4}

14427 in other forms

FormValue
In wordsfourteen thousand four hundred and twenty-seven
Binary (base 2)11100001011011
Octal (base 8)34133
Hexadecimal (base 16)385B
Base 3201210100
As time14427 seconds = 4 h 0 min 27 s

Is 14427 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 (14427 ÷ 3 = 4809)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)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 (14427 ÷ 7 = 2061)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (14427 ÷ 9 = 1603)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14427 a prime number?

No. 14427 = 323^{2} × 7 × 229, so it is divisible by 3.

What are the factors of 14427?

1, 3, 7, 9, 21, 63, 229, 687, 1603, 2061, 4809, 14427.

What is 14427 in binary?

11100001011011 (hexadecimal 385B, octal 34133).

What is the square root of 14427?

About 120.1124, exactly 3√1603.

Is 14427 divisible by 3?

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

What is special about the number 14427?

14427 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    14427: is it prime? Factors, square root, binary, Roman numeral | WordGPT