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The number 47271

47271 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2251. Divisors (8): 1, 3, 7, 21, 2251, 6753, 15757, 47271.

Number

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How to work it out

  1. 1

    What is special about 47271: a Harshad number: divisible by its digit sum 21.

  2. 2

    47271 is composite. Its prime factorisation is

    47271=3×7×225147271 = 3 \times 7 \times 2251
  3. 3

    The divisors add up to 72064; without 47271 itself that is 24793, so 47271 is deficient (24793 is less than 47271). Euler's totient φ(47271) = 27000 numbers up to 47271 share no factor with it.

  4. 4

    The digits of 47271 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 220 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47271 = 3 \times 7 \times 2251 \]

47271 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors72064
Euler totient φ(n)27000
Square2234547441
Cube105629292083511
Square root217.418950
Digit sum / digital root21 / 3
Collatz steps to 1220
Scientific notation4.7271 × 10410^{4}

47271 in other forms

FormValue
In wordsforty-seven thousand two hundred and seventy-one
Binary (base 2)1011100010100111
Octal (base 8)134247
Hexadecimal (base 16)B8A7
Base 32101211210
As time47271 seconds = 13 h 7 min 51 s

Is 47271 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 (47271 ÷ 3 = 15757)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.
7Yes (47271 ÷ 7 = 6753)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 1)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 47271 a prime number?

No. 47271 = 3 × 7 × 2251, so it is divisible by 3.

What are the factors of 47271?

1, 3, 7, 21, 2251, 6753, 15757, 47271.

What is 47271 in binary?

1011100010100111 (hexadecimal B8A7, octal 134247).

What is the square root of 47271?

About 217.4190.

Is 47271 divisible by 3?

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

What is special about the number 47271?

47271 is a Harshad number: divisible by its digit sum 21.

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    47271: is it prime? Factors, square root, binary, Roman numeral | WordGPT