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The number 53271

53271 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 1973. Divisors (8): 1, 3, 9, 27, 1973, 5919, 17757, 53271.

Number

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How to work it out

  1. 1

    53271 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

    53271 is composite. Its prime factorisation is

    53271=33×197353271 = 3^{3} \times 1973
  3. 3

    The divisors add up to 78960; without 53271 itself that is 25689, so 53271 is deficient (25689 is less than 53271). Euler's totient φ(53271) = 35496 numbers up to 53271 share no factor with it.

  4. 4

    The digits of 53271 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 171 steps to reach 1.

LaTeX source of the formulas on this page
\[ 53271 = 3^{3} \times 1973 \]

53271 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors78960
Euler totient φ(n)35496
Square2837799441
Cube151172414021511
Square root230.805113 (= 3√5919)
Digit sum / digital root18 / 9
Collatz steps to 1171
Scientific notation5.3271 × 10410^{4}

53271 in other forms

FormValue
In wordsfifty-three thousand two hundred and seventy-one
Binary (base 2)1101000000010111
Octal (base 8)150027
Hexadecimal (base 16)D017
Base 32201002000
As time53271 seconds = 14 h 47 min 51 s

Is 53271 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 (53271 ÷ 3 = 17757)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 1)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 1)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 (53271 ÷ 9 = 5919)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 53271 a prime number?

No. 53271 = 333^{3} × 1973, so it is divisible by 3.

What are the factors of 53271?

1, 3, 9, 27, 1973, 5919, 17757, 53271.

What is 53271 in binary?

1101000000010111 (hexadecimal D017, octal 150027).

What is the square root of 53271?

About 230.8051, exactly 3√5919.

Is 53271 divisible by 3?

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

What is special about the number 53271?

It is a composite number with 8 divisors.

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    53271: is it prime? Factors, square root, binary, Roman numeral | WordGPT