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The number 18279

18279 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 677. Divisors (8): 1, 3, 9, 27, 677, 2031, 6093, 18279.

Number

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How to work it out

  1. 1

    What is special about 18279: a Harshad number: divisible by its digit sum 27.

  2. 2

    18279 is composite. Its prime factorisation is

    18279=33×67718279 = 3^{3} \times 677
  3. 3

    The divisors add up to 27120; without 18279 itself that is 8841, so 18279 is deficient (8841 is less than 18279). Euler's totient φ(18279) = 12168 numbers up to 18279 share no factor with it.

  4. 4

    The digits of 18279 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 172 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18279 = 3^{3} \times 677 \]

18279 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors27120
Euler totient φ(n)12168
Square334121841
Cube6107413131639
Square root135.199852 (= 3√2031)
Digit sum / digital root27 / 9
Collatz steps to 1172
Scientific notation1.8279 × 10410^{4}

18279 in other forms

FormValue
In wordseighteen thousand two hundred and seventy-nine
Binary (base 2)100011101100111
Octal (base 8)43547
Hexadecimal (base 16)4767
Base 3221002000
As time18279 seconds = 5 h 4 min 39 s

Is 18279 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 (18279 ÷ 3 = 6093)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 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 2)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (18279 ÷ 9 = 2031)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 8)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 18279 a prime number?

No. 18279 = 333^{3} × 677, so it is divisible by 3.

What are the factors of 18279?

1, 3, 9, 27, 677, 2031, 6093, 18279.

What is 18279 in binary?

100011101100111 (hexadecimal 4767, octal 43547).

What is the square root of 18279?

About 135.1999, exactly 3√2031.

Is 18279 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 18279?

18279 is a Harshad number: divisible by its digit sum 27.

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    18279: is it prime? Factors, square root, binary, Roman numeral | WordGPT