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The number 28339

28339 is a composite number with 4 divisors. Its prime factorisation is 17 × 1667. Divisors (4): 1, 17, 1667, 28339.

Number

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How to work it out

  1. 1

    What is special about 28339: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 1667, the product of two primes.

  2. 2

    28339 is composite. Its prime factorisation is

    28339=17×166728339 = 17 \times 1667
  3. 3

    The divisors add up to 30024; without 28339 itself that is 1685, so 28339 is deficient (1685 is less than 28339). Euler's totient φ(28339) = 26656 numbers up to 28339 share no factor with it.

  4. 4

    The digits of 28339 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.

LaTeX source of the formulas on this page
\[ 28339 = 17 \times 1667 \]

28339 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors30024
Euler totient φ(n)26656
Square803098921
Cube22759020322219
Square root168.341914
Digit sum / digital root25 / 7
Collatz steps to 159
Scientific notation2.8339 × 10410^{4}

28339 in other forms

FormValue
In wordstwenty-eight thousand three hundred and thirty-nine
Binary (base 2)110111010110011
Octal (base 8)67263
Hexadecimal (base 16)6EB3
Base 31102212121
As time28339 seconds = 7 h 52 min 19 s

Is 28339 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 3)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 28339 a prime number?

No. 28339 = 17 × 1667, so it is divisible by 17.

What are the factors of 28339?

1, 17, 1667, 28339.

What is 28339 in binary?

110111010110011 (hexadecimal 6EB3, octal 67263).

What is the square root of 28339?

About 168.3419.

Is 28339 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 28339?

28339 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 1667, the product of two primes.

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