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The number 18983

18983 is a composite number with 4 divisors. Its prime factorisation is 41 × 463. Divisors (4): 1, 41, 463, 18983.

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How to work it out

  1. 1

    What is special about 18983: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 463, the product of two primes.

  2. 2

    18983 is composite. Its prime factorisation is

    18983=41×46318983 = 41 \times 463
  3. 3

    The divisors add up to 19488; without 18983 itself that is 505, so 18983 is deficient (505 is less than 18983). Euler's totient φ(18983) = 18480 numbers up to 18983 share no factor with it.

  4. 4

    The digits of 18983 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.

LaTeX source of the formulas on this page
\[ 18983 = 41 \times 463 \]

18983 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors19488
Euler totient φ(n)18480
Square360354289
Cube6840605468087
Square root137.778808
Digit sum / digital root29 / 2
Collatz steps to 153
Scientific notation1.8983 × 10410^{4}

18983 in other forms

FormValue
In wordseighteen thousand nine hundred and eighty-three
Binary (base 2)100101000100111
Octal (base 8)45047
Hexadecimal (base 16)4A27
Base 3222001002
As time18983 seconds = 5 h 16 min 23 s

Is 18983 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 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 7)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 8)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 18983 a prime number?

No. 18983 = 41 × 463, so it is divisible by 41.

What are the factors of 18983?

1, 41, 463, 18983.

What is 18983 in binary?

100101000100111 (hexadecimal 4A27, octal 45047).

What is the square root of 18983?

About 137.7788.

Is 18983 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 18983?

18983 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 463, the product of two primes.

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    18983: is it prime? Factors, square root, binary, Roman numeral | WordGPT