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The number 5327

5327 is a composite number with 4 divisors. Its prime factorisation is 7 × 761. Divisors (4): 1, 7, 761, 5327.

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How to work it out

  1. 1

    What is special about 5327: a semiprime: 7 × 761, the product of two primes.

  2. 2

    5327 is composite. Its prime factorisation is

    5327=7×7615327 = 7 \times 761
  3. 3

    The divisors add up to 6096; without 5327 itself that is 769, so 5327 is deficient (769 is less than 5327). Euler's totient φ(5327) = 4560 numbers up to 5327 share no factor with it.

  4. 4

    The digits of 5327 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5327 = 7 \times 761 \]

5327 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors6096
Euler totient φ(n)4560
Square28376929
Cube151163900783
Square root72.986300
Digit sum / digital root17 / 8
Collatz steps to 185
Scientific notation5.327 × 10310^{3}

5327 in other forms

FormValue
In wordsfive thousand three hundred and twenty-seven
Binary (base 2)1010011001111
Octal (base 8)12317
Hexadecimal (base 16)14CF
Base 321022022
As time5327 seconds = 1 h 28 min 47 s

Is 5327 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 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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (5327 ÷ 7 = 761)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 8)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 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5327 a prime number?

No. 5327 = 7 × 761, so it is divisible by 7.

What are the factors of 5327?

1, 7, 761, 5327.

What is 5327 in binary?

1010011001111 (hexadecimal 14CF, octal 12317).

What is the square root of 5327?

About 72.9863.

Is 5327 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 5327?

5327 is a semiprime: 7 × 761, the product of two primes.

All about 5327

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