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The number 47384

47384 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 5923. Divisors (8): 1, 2, 4, 8, 5923, 11846, 23692, 47384.

Number

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How to work it out

  1. 1

    47384 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

    47384 is composite. Its prime factorisation is

    47384=23×592347384 = 2^{3} \times 5923
  3. 3

    The divisors add up to 88860; without 47384 itself that is 41476, so 47384 is deficient (41476 is less than 47384). Euler's totient φ(47384) = 23688 numbers up to 47384 share no factor with it.

  4. 4

    The digits of 47384 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47384 = 2^{3} \times 5923 \]

47384 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors88860
Euler totient φ(n)23688
Square2245243456
Cube106388615919104
Square root217.678662 (= 2√11846)
Digit sum / digital root26 / 8
Collatz steps to 139
Scientific notation4.7384 × 10410^{4}

47384 in other forms

FormValue
In wordsforty-seven thousand three hundred and eighty-four
Binary (base 2)1011100100011000
Octal (base 8)134430
Hexadecimal (base 16)B918
Base 32101222222
As time47384 seconds = 13 h 9 min 44 s

Is 47384 divisible by 2 to 12?

DivisorAnswerRule
2Yes (47384 ÷ 2 = 23692)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.
4Yes (47384 ÷ 4 = 11846)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)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.
8Yes (47384 ÷ 8 = 5923)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 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 47384 a prime number?

No. 47384 = 232^{3} × 5923, so it is divisible by 2.

What are the factors of 47384?

1, 2, 4, 8, 5923, 11846, 23692, 47384.

What is 47384 in binary?

1011100100011000 (hexadecimal B918, octal 134430).

What is the square root of 47384?

About 217.6787, exactly 2√11846.

Is 47384 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 47384?

It is a composite number with 8 divisors.

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    47384: is it prime? Factors, square root, binary, Roman numeral | WordGPT