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The number 18918

18918 is a composite number with 12 divisors. Its prime factorisation is 2 × 323^{2} × 1051. Divisors (12): 1, 2, 3, 6, 9, 18, 1051, 2102, 3153, 6306, 9459, 18918.

Number

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How to work it out

  1. 1

    18918 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

    18918 is composite. Its prime factorisation is

    18918=2×32×105118918 = 2 \times 3^{2} \times 1051
  3. 3

    The divisors add up to 41028; without 18918 itself that is 22110, so 18918 is abundant (22110 is more than 18918). Euler's totient φ(18918) = 6300 numbers up to 18918 share no factor with it.

  4. 4

    The digits of 18918 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
\[ 18918 = 2 \times 3^{2} \times 1051 \]

18918 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors41028
Euler totient φ(n)6300
Square357890724
Cube6770576716632
Square root137.542721 (= 3√2102)
Digit sum / digital root27 / 9
Collatz steps to 161
Scientific notation1.8918 × 10410^{4}

18918 in other forms

FormValue
In wordseighteen thousand nine hundred and eighteen
Binary (base 2)100100111100110
Octal (base 8)44746
Hexadecimal (base 16)49E6
Base 3221221200
As time18918 seconds = 5 h 15 min 18 s

Is 18918 divisible by 2 to 12?

DivisorAnswerRule
2Yes (18918 ÷ 2 = 9459)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (18918 ÷ 3 = 6306)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 (18918 ÷ 6 = 3153)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 (18918 ÷ 9 = 2102)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 9)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 18918 a prime number?

No. 18918 = 2 × 323^{2} × 1051, so it is divisible by 2.

What are the factors of 18918?

1, 2, 3, 6, 9, 18, 1051, 2102, 3153, 6306, 9459, 18918.

What is 18918 in binary?

100100111100110 (hexadecimal 49E6, octal 44746).

What is the square root of 18918?

About 137.5427, exactly 3√2102.

Is 18918 divisible by 3?

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

What is special about the number 18918?

It is a composite number with 12 divisors.

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    18918: is it prime? Factors, square root, binary, Roman numeral | WordGPT