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The number 83989

83989 is a composite number with 4 divisors. Its prime factorisation is 47 × 1787. Divisors (4): 1, 47, 1787, 83989.

Number

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How to work it out

  1. 1

    What is special about 83989: a semiprime: 47 × 1787, the product of two primes.

  2. 2

    83989 is composite. Its prime factorisation is

    83989=47×178783989 = 47 \times 1787
  3. 3

    The divisors add up to 85824; without 83989 itself that is 1835, so 83989 is deficient (1835 is less than 83989). Euler's totient φ(83989) = 82156 numbers up to 83989 share no factor with it.

  4. 4

    The digits of 83989 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.

LaTeX source of the formulas on this page
\[ 83989 = 47 \times 1787 \]

83989 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors85824
Euler totient φ(n)82156
Square7054152121
Cube592471182490669
Square root289.808557
Digit sum / digital root37 / 1
Collatz steps to 1133
Scientific notation8.3989 × 10410^{4}

83989 in other forms

FormValue
In wordseighty-three thousand nine hundred and eighty-nine
Binary (base 2)10100100000010101
Octal (base 8)244025
Hexadecimal (base 16)14815
Base 311021012201
As time83989 seconds = 23 h 19 min 49 s

Is 83989 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 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 5)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 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 83989 a prime number?

No. 83989 = 47 × 1787, so it is divisible by 47.

What are the factors of 83989?

1, 47, 1787, 83989.

What is 83989 in binary?

10100100000010101 (hexadecimal 14815, octal 244025).

What is the square root of 83989?

About 289.8086.

Is 83989 divisible by 3?

No. Its digits add up to 37, which is not a multiple of 3.

What is special about the number 83989?

83989 is a semiprime: 47 × 1787, the product of two primes.

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    83989: is it prime? Factors, square root, binary, Roman numeral | WordGPT