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The number 82829

82829 is a composite number with 4 divisors. Its prime factorisation is 113 × 733. Divisors (4): 1, 113, 733, 82829.

Number

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How to work it out

  1. 1

    What is special about 82829: a semiprime: 113 × 733, the product of two primes.

  2. 2

    82829 is composite. Its prime factorisation is

    82829=113×73382829 = 113 \times 733
  3. 3

    The divisors add up to 83676; without 82829 itself that is 847, so 82829 is deficient (847 is less than 82829). Euler's totient φ(82829) = 81984 numbers up to 82829 share no factor with it.

  4. 4

    The digits of 82829 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 107 steps to reach 1.

LaTeX source of the formulas on this page
\[ 82829 = 113 \times 733 \]

82829 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors83676
Euler totient φ(n)81984
Square6860643241
Cube568260219008789
Square root287.800278
Digit sum / digital root29 / 2
Collatz steps to 1107
Scientific notation8.2829 × 10410^{4}

82829 in other forms

FormValue
In wordseighty-two thousand eight hundred and twenty-nine
Binary (base 2)10100001110001101
Octal (base 8)241615
Hexadecimal (base 16)1438D
Base 311012121202
As time82829 seconds = 23 h 0 min 29 s

Is 82829 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 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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 2)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 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 82829 a prime number?

No. 82829 = 113 × 733, so it is divisible by 113.

What are the factors of 82829?

1, 113, 733, 82829.

What is 82829 in binary?

10100001110001101 (hexadecimal 1438D, octal 241615).

What is the square root of 82829?

About 287.8003.

Is 82829 divisible by 3?

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

What is special about the number 82829?

82829 is a semiprime: 113 × 733, the product of two primes.

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