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The number 18142

18142 is a composite number with 8 divisors. Its prime factorisation is 2 × 47 × 193. Divisors (8): 1, 2, 47, 94, 193, 386, 9071, 18142.

Number

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How to work it out

  1. 1

    What is special about 18142: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    18142 is composite. Its prime factorisation is

    18142=2×47×19318142 = 2 \times 47 \times 193
  3. 3

    The divisors add up to 27936; without 18142 itself that is 9794, so 18142 is deficient (9794 is less than 18142). Euler's totient φ(18142) = 8832 numbers up to 18142 share no factor with it.

  4. 4

    The digits of 18142 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18142 = 2 \times 47 \times 193 \]

18142 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors27936
Euler totient φ(n)8832
Square329132164
Cube5971115719288
Square root134.692242
Digit sum / digital root16 / 7
Collatz steps to 192
Scientific notation1.8142 × 10410^{4}

18142 in other forms

FormValue
In wordseighteen thousand one hundred and forty-two
Binary (base 2)100011011011110
Octal (base 8)43336
Hexadecimal (base 16)46DE
Base 3220212221
As time18142 seconds = 5 h 2 min 22 s

Is 18142 divisible by 2 to 12?

DivisorAnswerRule
2Yes (18142 ÷ 2 = 9071)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)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 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 18142 a prime number?

No. 18142 = 2 × 47 × 193, so it is divisible by 2.

What are the factors of 18142?

1, 2, 47, 94, 193, 386, 9071, 18142.

What is 18142 in binary?

100011011011110 (hexadecimal 46DE, octal 43336).

What is the square root of 18142?

About 134.6922.

Is 18142 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 18142?

18142 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    18142: is it prime? Factors, square root, binary, Roman numeral | WordGPT