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The number 51327

51327 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 1901. Divisors (8): 1, 3, 9, 27, 1901, 5703, 17109, 51327.

Number

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How to work it out

  1. 1

    51327 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    51327 is composite. Its prime factorisation is

    51327=33×190151327 = 3^{3} \times 1901
  3. 3

    The divisors add up to 76080; without 51327 itself that is 24753, so 51327 is deficient (24753 is less than 51327). Euler's totient φ(51327) = 34200 numbers up to 51327 share no factor with it.

  4. 4

    The digits of 51327 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.

LaTeX source of the formulas on this page
\[ 51327 = 3^{3} \times 1901 \]

51327 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors76080
Euler totient φ(n)34200
Square2634460929
Cube135218976102783
Square root226.554629 (= 3√5703)
Digit sum / digital root18 / 9
Collatz steps to 1189
Scientific notation5.1327 × 10410^{4}

51327 in other forms

FormValue
In wordsfifty-one thousand three hundred and twenty-seven
Binary (base 2)1100100001111111
Octal (base 8)144177
Hexadecimal (base 16)C87F
Base 32121102000
As time51327 seconds = 14 h 15 min 27 s

Is 51327 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 (51327 ÷ 3 = 17109)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.
9Yes (51327 ÷ 9 = 5703)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 1)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 51327 a prime number?

No. 51327 = 333^{3} × 1901, so it is divisible by 3.

What are the factors of 51327?

1, 3, 9, 27, 1901, 5703, 17109, 51327.

What is 51327 in binary?

1100100001111111 (hexadecimal C87F, octal 144177).

What is the square root of 51327?

About 226.5546, exactly 3√5703.

Is 51327 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 51327?

It is a composite number with 8 divisors.

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    51327: is it prime? Factors, square root, binary, Roman numeral | WordGPT