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The number 18083

18083 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 107. Divisors (6): 1, 13, 107, 169, 1391, 18083.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    18083 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

    18083 is composite. Its prime factorisation is

    18083=132Ɨ10718083 = 13^{2} \times 107
  3. 3

    The divisors add up to 19764; without 18083 itself that is 1681, so 18083 is deficient (1681 is less than 18083). Euler's totient φ(18083) = 16536 numbers up to 18083 share no factor with it.

  4. 4

    The digits of 18083 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 185 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18083 = 13^{2} \times 107 \]

18083 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors19764
Euler totient φ(n)16536
Square326994889
Cube5913048577787
Square root134.473046 (= 13√107)
Digit sum / digital root20 / 2
Collatz steps to 1185
Scientific notation1.8083 Ɨ 10410^{4}

18083 in other forms

FormValue
In wordseighteen thousand and eighty-three
Binary (base 2)100011010100011
Octal (base 8)43243
Hexadecimal (base 16)46A3
Base 3220210202
As time18083 seconds = 5 h 1 min 23 s

Is 18083 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 18083 a prime number?

No. 18083 = 13213^{2} Ɨ 107, so it is divisible by 13.

What are the factors of 18083?

1, 13, 107, 169, 1391, 18083.

What is 18083 in binary?

100011010100011 (hexadecimal 46A3, octal 43243).

What is the square root of 18083?

About 134.4730, exactly 13√107.

Is 18083 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 18083?

It is a composite number with 6 divisors.

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    18083: is it prime? Factors, square root, binary, Roman numeral | WordGPT