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The number 33389

33389 is a composite number with 4 divisors. Its prime factorisation is 173 × 193. Divisors (4): 1, 173, 193, 33389.

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How to work it out

  1. 1

    What is special about 33389: a semiprime: 173 × 193, the product of two primes.

  2. 2

    33389 is composite. Its prime factorisation is

    33389=173×19333389 = 173 \times 193
  3. 3

    The divisors add up to 33756; without 33389 itself that is 367, so 33389 is deficient (367 is less than 33389). Euler's totient φ(33389) = 33024 numbers up to 33389 share no factor with it.

  4. 4

    The digits of 33389 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.

LaTeX source of the formulas on this page
\[ 33389 = 173 \times 193 \]

33389 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors33756
Euler totient φ(n)33024
Square1114825321
Cube37222902642869
Square root182.726572
Digit sum / digital root26 / 8
Collatz steps to 167
Scientific notation3.3389 × 10410^{4}

33389 in other forms

FormValue
In wordsthirty-three thousand three hundred and eighty-nine
Binary (base 2)1000001001101101
Octal (base 8)101155
Hexadecimal (base 16)826D
Base 31200210122
As time33389 seconds = 9 h 16 min 29 s

Is 33389 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 6)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 8)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 33389 a prime number?

No. 33389 = 173 × 193, so it is divisible by 173.

What are the factors of 33389?

1, 173, 193, 33389.

What is 33389 in binary?

1000001001101101 (hexadecimal 826D, octal 101155).

What is the square root of 33389?

About 182.7266.

Is 33389 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 33389?

33389 is a semiprime: 173 × 193, the product of two primes.

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