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The number 82083

82083 is a composite number with 4 divisors. Its prime factorisation is 3 × 27361. Divisors (4): 1, 3, 27361, 82083.

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How to work it out

  1. 1

    What is special about 82083: a semiprime: 3 × 27361, the product of two primes.

  2. 2

    82083 is composite. Its prime factorisation is

    82083=3×2736182083 = 3 \times 27361
  3. 3

    The divisors add up to 109448; without 82083 itself that is 27365, so 82083 is deficient (27365 is less than 82083). Euler's totient φ(82083) = 54720 numbers up to 82083 share no factor with it.

  4. 4

    The digits of 82083 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.

LaTeX source of the formulas on this page
\[ 82083 = 3 \times 27361 \]

82083 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors109448
Euler totient φ(n)54720
Square6737618889
Cube553043971265787
Square root286.501309
Digit sum / digital root21 / 3
Collatz steps to 1151
Scientific notation8.2083 × 10410^{4}

82083 in other forms

FormValue
In wordseighty-two thousand and eighty-three
Binary (base 2)10100000010100011
Octal (base 8)240243
Hexadecimal (base 16)140A3
Base 311011121010
As time82083 seconds = 22 h 48 min 3 s

Is 82083 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).
3Yes (82083 ÷ 3 = 27361)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 3)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 82083 a prime number?

No. 82083 = 3 × 27361, so it is divisible by 3.

What are the factors of 82083?

1, 3, 27361, 82083.

What is 82083 in binary?

10100000010100011 (hexadecimal 140A3, octal 240243).

What is the square root of 82083?

About 286.5013.

Is 82083 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 82083?

82083 is a semiprime: 3 × 27361, the product of two primes.

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