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The number 18318

18318 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 43 × 71. Divisors (16): 1, 2, 3, 6, 43, 71, 86, 129, 142, 213, 258, 426, 3053, 6106, 9159, 18318.

Number

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How to work it out

  1. 1

    What is special about 18318: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    18318 is composite. Its prime factorisation is

    18318=2×3×43×7118318 = 2 \times 3 \times 43 \times 71
  3. 3

    The divisors add up to 38016; without 18318 itself that is 19698, so 18318 is abundant (19698 is more than 18318). Euler's totient φ(18318) = 5880 numbers up to 18318 share no factor with it.

  4. 4

    The digits of 18318 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 198 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18318 = 2 \times 3 \times 43 \times 71 \]

18318 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors38016
Euler totient φ(n)5880
Square335549124
Cube6146588853432
Square root135.344006
Digit sum / digital root21 / 3
Collatz steps to 1198
Scientific notation1.8318 × 10410^{4}

18318 in other forms

FormValue
In wordseighteen thousand three hundred and eighteen
Binary (base 2)100011110001110
Octal (base 8)43616
Hexadecimal (base 16)478E
Base 3221010110
As time18318 seconds = 5 h 5 min 18 s

Is 18318 divisible by 2 to 12?

DivisorAnswerRule
2Yes (18318 ÷ 2 = 9159)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (18318 ÷ 3 = 6106)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 3)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (18318 ÷ 6 = 3053)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)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 18318 a prime number?

No. 18318 = 2 × 3 × 43 × 71, so it is divisible by 2.

What are the factors of 18318?

1, 2, 3, 6, 43, 71, 86, 129, 142, 213, 258, 426, 3053, 6106, 9159, 18318.

What is 18318 in binary?

100011110001110 (hexadecimal 478E, octal 43616).

What is the square root of 18318?

About 135.3440.

Is 18318 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 18318?

18318 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    18318: is it prime? Factors, square root, binary, Roman numeral | WordGPT