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The number 47383

47383 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 967. Divisors (6): 1, 7, 49, 967, 6769, 47383.

Number

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How to work it out

  1. 1

    47383 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

    47383 is composite. Its prime factorisation is

    47383=72Ɨ96747383 = 7^{2} \times 967
  3. 3

    The divisors add up to 55176; without 47383 itself that is 7793, so 47383 is deficient (7793 is less than 47383). Euler's totient φ(47383) = 40572 numbers up to 47383 share no factor with it.

  4. 4

    The digits of 47383 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47383 = 7^{2} \times 967 \]

47383 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors55176
Euler totient φ(n)40572
Square2245148689
Cube106381880330887
Square root217.676365 (= 7√967)
Digit sum / digital root25 / 7
Collatz steps to 175
Scientific notation4.7383 Ɨ 10410^{4}

47383 in other forms

FormValue
In wordsforty-seven thousand three hundred and eighty-three
Binary (base 2)1011100100010111
Octal (base 8)134427
Hexadecimal (base 16)B917
Base 32101222221
As time47383 seconds = 13 h 9 min 43 s

Is 47383 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 1)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 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (47383 Ć· 7 = 6769)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 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 47383 a prime number?

No. 47383 = 727^{2} Ɨ 967, so it is divisible by 7.

What are the factors of 47383?

1, 7, 49, 967, 6769, 47383.

What is 47383 in binary?

1011100100010111 (hexadecimal B917, octal 134427).

What is the square root of 47383?

About 217.6764, exactly 7√967.

Is 47383 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 47383?

It is a composite number with 6 divisors.

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    47383: is it prime? Factors, square root, binary, Roman numeral | WordGPT