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The number 9327

9327 is a composite number with 4 divisors. Its prime factorisation is 3 × 3109. Divisors (4): 1, 3, 3109, 9327.

Number

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How to work it out

  1. 1

    What is special about 9327: a semiprime: 3 × 3109, the product of two primes.

  2. 2

    9327 is composite. Its prime factorisation is

    9327=3×31099327 = 3 \times 3109
  3. 3

    The divisors add up to 12440; without 9327 itself that is 3113, so 9327 is deficient (3113 is less than 9327). Euler's totient φ(9327) = 6216 numbers up to 9327 share no factor with it.

  4. 4

    The digits of 9327 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 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 9327 = 3 \times 3109 \]

9327 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors12440
Euler totient φ(n)6216
Square86992929
Cube811383048783
Square root96.576395
Digit sum / digital root21 / 3
Collatz steps to 191
Scientific notation9.327 × 10310^{3}

9327 in other forms

FormValue
In wordsnine thousand three hundred and twenty-seven
Binary (base 2)10010001101111
Octal (base 8)22157
Hexadecimal (base 16)246F
Base 3110210110
As time9327 seconds = 2 h 35 min 27 s

Is 9327 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 (9327 ÷ 3 = 3109)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 2)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 7)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 7)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 9327 a prime number?

No. 9327 = 3 × 3109, so it is divisible by 3.

What are the factors of 9327?

1, 3, 3109, 9327.

What is 9327 in binary?

10010001101111 (hexadecimal 246F, octal 22157).

What is the square root of 9327?

About 96.5764.

Is 9327 divisible by 3?

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

What is special about the number 9327?

9327 is a semiprime: 3 × 3109, the product of two primes.

All about 9327

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