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The number 47848

47848 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 5981. Divisors (8): 1, 2, 4, 8, 5981, 11962, 23924, 47848.

Number

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How to work it out

  1. 1

    47848 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

    47848 is composite. Its prime factorisation is

    47848=23×598147848 = 2^{3} \times 5981
  3. 3

    The divisors add up to 89730; without 47848 itself that is 41882, so 47848 is deficient (41882 is less than 47848). Euler's totient φ(47848) = 23920 numbers up to 47848 share no factor with it.

  4. 4

    The digits of 47848 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47848 = 2^{3} \times 5981 \]

47848 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors89730
Euler totient φ(n)23920
Square2289431104
Cube109544699464192
Square root218.741857 (= 2√11962)
Digit sum / digital root31 / 4
Collatz steps to 152
Scientific notation4.7848 × 10410^{4}

47848 in other forms

FormValue
In wordsforty-seven thousand eight hundred and forty-eight
Binary (base 2)1011101011101000
Octal (base 8)135350
Hexadecimal (base 16)BAE8
Base 32102122011
As time47848 seconds = 13 h 17 min 28 s

Is 47848 divisible by 2 to 12?

DivisorAnswerRule
2Yes (47848 ÷ 2 = 23924)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.
4Yes (47848 ÷ 4 = 11962)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 (47848 ÷ 8 = 5981)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 47848 a prime number?

No. 47848 = 232^{3} × 5981, so it is divisible by 2.

What are the factors of 47848?

1, 2, 4, 8, 5981, 11962, 23924, 47848.

What is 47848 in binary?

1011101011101000 (hexadecimal BAE8, octal 135350).

What is the square root of 47848?

About 218.7419, exactly 2√11962.

Is 47848 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 47848?

It is a composite number with 8 divisors.

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    47848: is it prime? Factors, square root, binary, Roman numeral | WordGPT