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The number 47231

47231 is a composite number with 4 divisors. Its prime factorisation is 73 × 647. Divisors (4): 1, 73, 647, 47231.

Number

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How to work it out

  1. 1

    What is special about 47231: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 73 × 647, the product of two primes.

  2. 2

    47231 is composite. Its prime factorisation is

    47231=73×64747231 = 73 \times 647
  3. 3

    The divisors add up to 47952; without 47231 itself that is 721, so 47231 is deficient (721 is less than 47231). Euler's totient φ(47231) = 46512 numbers up to 47231 share no factor with it.

  4. 4

    The digits of 47231 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 83 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47231 = 73 \times 647 \]

47231 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors47952
Euler totient φ(n)46512
Square2230767361
Cube105361373227391
Square root217.326943
Digit sum / digital root17 / 8
Collatz steps to 183
Scientific notation4.7231 × 10410^{4}

47231 in other forms

FormValue
In wordsforty-seven thousand two hundred and thirty-one
Binary (base 2)1011100001111111
Octal (base 8)134177
Hexadecimal (base 16)B87F
Base 32101210022
As time47231 seconds = 13 h 7 min 11 s

Is 47231 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 1)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.
7No (remainder 2)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 47231 a prime number?

No. 47231 = 73 × 647, so it is divisible by 73.

What are the factors of 47231?

1, 73, 647, 47231.

What is 47231 in binary?

1011100001111111 (hexadecimal B87F, octal 134177).

What is the square root of 47231?

About 217.3269.

Is 47231 divisible by 3?

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

What is special about the number 47231?

47231 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 73 × 647, the product of two primes.

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    47231: is it prime? Factors, square root, binary, Roman numeral | WordGPT