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The number 82018

82018 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 1783. Divisors (8): 1, 2, 23, 46, 1783, 3566, 41009, 82018.

Number

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How to work it out

  1. 1

    What is special about 82018: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    82018 is composite. Its prime factorisation is

    82018=2×23×178382018 = 2 \times 23 \times 1783
  3. 3

    The divisors add up to 128448; without 82018 itself that is 46430, so 82018 is deficient (46430 is less than 82018). Euler's totient φ(82018) = 39204 numbers up to 82018 share no factor with it.

  4. 4

    The digits of 82018 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.

LaTeX source of the formulas on this page
\[ 82018 = 2 \times 23 \times 1783 \]

82018 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors128448
Euler totient φ(n)39204
Square6726952324
Cube551731175709832
Square root286.387849
Digit sum / digital root19 / 1
Collatz steps to 163
Scientific notation8.2018 × 10410^{4}

82018 in other forms

FormValue
In wordseighty-two thousand and eighteen
Binary (base 2)10100000001100010
Octal (base 8)240142
Hexadecimal (base 16)14062
Base 311011111201
As time82018 seconds = 22 h 46 min 58 s

Is 82018 divisible by 2 to 12?

DivisorAnswerRule
2Yes (82018 ÷ 2 = 41009)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 3)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 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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)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 2)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 82018 a prime number?

No. 82018 = 2 × 23 × 1783, so it is divisible by 2.

What are the factors of 82018?

1, 2, 23, 46, 1783, 3566, 41009, 82018.

What is 82018 in binary?

10100000001100010 (hexadecimal 14062, octal 240142).

What is the square root of 82018?

About 286.3878.

Is 82018 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 82018?

82018 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    82018: is it prime? Factors, square root, binary, Roman numeral | WordGPT