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The number 27933

27933 is a composite number with 4 divisors. Its prime factorisation is 3 × 9311. Divisors (4): 1, 3, 9311, 27933.

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How to work it out

  1. 1

    What is special about 27933: a semiprime: 3 × 9311, the product of two primes.

  2. 2

    27933 is composite. Its prime factorisation is

    27933=3×931127933 = 3 \times 9311
  3. 3

    The divisors add up to 37248; without 27933 itself that is 9315, so 27933 is deficient (9315 is less than 27933). Euler's totient φ(27933) = 18620 numbers up to 27933 share no factor with it.

  4. 4

    The digits of 27933 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27933 = 3 \times 9311 \]

27933 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors37248
Euler totient φ(n)18620
Square780252489
Cube21794792775237
Square root167.131685
Digit sum / digital root24 / 6
Collatz steps to 190
Scientific notation2.7933 × 10410^{4}

27933 in other forms

FormValue
In wordstwenty-seven thousand nine hundred and thirty-three
Binary (base 2)110110100011101
Octal (base 8)66435
Hexadecimal (base 16)6D1D
Base 31102022120
As time27933 seconds = 7 h 45 min 33 s

Is 27933 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 (27933 ÷ 3 = 9311)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 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 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 6)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 4)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 27933 a prime number?

No. 27933 = 3 × 9311, so it is divisible by 3.

What are the factors of 27933?

1, 3, 9311, 27933.

What is 27933 in binary?

110110100011101 (hexadecimal 6D1D, octal 66435).

What is the square root of 27933?

About 167.1317.

Is 27933 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 27933?

27933 is a semiprime: 3 × 9311, the product of two primes.

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