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The number 18378

18378 is a composite number with 12 divisors. Its prime factorisation is 2 × 323^{2} × 1021. Divisors (12): 1, 2, 3, 6, 9, 18, 1021, 2042, 3063, 6126, 9189, 18378.

Number

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How to work it out

  1. 1

    18378 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

    18378 is composite. Its prime factorisation is

    18378=2×32×102118378 = 2 \times 3^{2} \times 1021
  3. 3

    The divisors add up to 39858; without 18378 itself that is 21480, so 18378 is abundant (21480 is more than 18378). Euler's totient φ(18378) = 6120 numbers up to 18378 share no factor with it.

  4. 4

    The digits of 18378 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 61 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18378 = 2 \times 3^{2} \times 1021 \]

18378 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors39858
Euler totient φ(n)6120
Square337750884
Cube6207185746152
Square root135.565482 (= 3√2042)
Digit sum / digital root27 / 9
Collatz steps to 161
Scientific notation1.8378 × 10410^{4}

18378 in other forms

FormValue
In wordseighteen thousand three hundred and seventy-eight
Binary (base 2)100011111001010
Octal (base 8)43712
Hexadecimal (base 16)47CA
Base 3221012200
As time18378 seconds = 5 h 6 min 18 s

Is 18378 divisible by 2 to 12?

DivisorAnswerRule
2Yes (18378 ÷ 2 = 9189)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (18378 ÷ 3 = 6126)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 (18378 ÷ 6 = 3063)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (18378 ÷ 9 = 2042)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 8)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 18378 a prime number?

No. 18378 = 2 × 323^{2} × 1021, so it is divisible by 2.

What are the factors of 18378?

1, 2, 3, 6, 9, 18, 1021, 2042, 3063, 6126, 9189, 18378.

What is 18378 in binary?

100011111001010 (hexadecimal 47CA, octal 43712).

What is the square root of 18378?

About 135.5655, exactly 3√2042.

Is 18378 divisible by 3?

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

What is special about the number 18378?

It is a composite number with 12 divisors.

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    18378: is it prime? Factors, square root, binary, Roman numeral | WordGPT