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The number 82029

82029 is a composite number with 8 divisors. Its prime factorisation is 3 × 37 × 739. Divisors (8): 1, 3, 37, 111, 739, 2217, 27343, 82029.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    82029 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

    82029 is composite. Its prime factorisation is

    82029=3×37×73982029 = 3 \times 37 \times 739
  3. 3

    The divisors add up to 112480; without 82029 itself that is 30451, so 82029 is deficient (30451 is less than 82029). Euler's totient φ(82029) = 53136 numbers up to 82029 share no factor with it.

  4. 4

    The digits of 82029 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 120 steps to reach 1.

LaTeX source of the formulas on this page
\[ 82029 = 3 \times 37 \times 739 \]

82029 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors112480
Euler totient φ(n)53136
Square6728756841
Cube551953194910389
Square root286.407053
Digit sum / digital root21 / 3
Collatz steps to 1120
Scientific notation8.2029 × 10410^{4}

82029 in other forms

FormValue
In wordseighty-two thousand and twenty-nine
Binary (base 2)10100000001101101
Octal (base 8)240155
Hexadecimal (base 16)1406D
Base 311011112010
As time82029 seconds = 22 h 47 min 9 s

Is 82029 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 (82029 ÷ 3 = 27343)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 3)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 3)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 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 82029 a prime number?

No. 82029 = 3 × 37 × 739, so it is divisible by 3.

What are the factors of 82029?

1, 3, 37, 111, 739, 2217, 27343, 82029.

What is 82029 in binary?

10100000001101101 (hexadecimal 1406D, octal 240155).

What is the square root of 82029?

About 286.4071.

Is 82029 divisible by 3?

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

What is special about the number 82029?

It is a composite number with 8 divisors.

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