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The number 14094

14094 is a composite number with 24 divisors. Its prime factorisation is 2 × 353^{5} × 29. Divisors (24): 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 243, 261 … 14094.

Number

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How to work it out

  1. 1

    What is special about 14094: a Harshad number: divisible by its digit sum 18.

  2. 2

    14094 is composite. Its prime factorisation is

    14094=2×35×2914094 = 2 \times 3^{5} \times 29
  3. 3

    The divisors add up to 32760; without 14094 itself that is 18666, so 14094 is abundant (18666 is more than 14094). Euler's totient φ(14094) = 4536 numbers up to 14094 share no factor with it.

  4. 4

    The digits of 14094 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 107 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14094 = 2 \times 3^{5} \times 29 \]

14094 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors32760
Euler totient φ(n)4536
Square198640836
Cube2799643942584
Square root118.718154 (= 9√174)
Digit sum / digital root18 / 9
Collatz steps to 1107
Scientific notation1.4094 × 10410^{4}

14094 in other forms

FormValue
In wordsfourteen thousand and ninety-four
Binary (base 2)11011100001110
Octal (base 8)33416
Hexadecimal (base 16)370E
Base 3201100000
As time14094 seconds = 3 h 54 min 54 s

Is 14094 divisible by 2 to 12?

DivisorAnswerRule
2Yes (14094 ÷ 2 = 7047)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (14094 ÷ 3 = 4698)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)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.
6Yes (14094 ÷ 6 = 2349)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (14094 ÷ 9 = 1566)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14094 a prime number?

No. 14094 = 2 × 353^{5} × 29, so it is divisible by 2.

What are the factors of 14094?

1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 243, 261, 486, 522, 783, 1566, 2349, 4698, 7047, 14094.

What is 14094 in binary?

11011100001110 (hexadecimal 370E, octal 33416).

What is the square root of 14094?

About 118.7182, exactly 9√174.

Is 14094 divisible by 3?

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

What is special about the number 14094?

14094 is a Harshad number: divisible by its digit sum 18.

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    14094: is it prime? Factors, square root, binary, Roman numeral | WordGPT