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The number 47836

47836 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 11959. Divisors (6): 1, 2, 4, 11959, 23918, 47836.

Number

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How to work it out

  1. 1

    47836 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

    47836 is composite. Its prime factorisation is

    47836=22×1195947836 = 2^{2} \times 11959
  3. 3

    The divisors add up to 83720; without 47836 itself that is 35884, so 47836 is deficient (35884 is less than 47836). Euler's totient φ(47836) = 23916 numbers up to 47836 share no factor with it.

  4. 4

    The digits of 47836 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47836 = 2^{2} \times 11959 \]

47836 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors83720
Euler totient φ(n)23916
Square2288282896
Cube109462300613056
Square root218.714426 (= 2√11959)
Digit sum / digital root28 / 1
Collatz steps to 157
Scientific notation4.7836 × 10410^{4}

47836 in other forms

FormValue
In wordsforty-seven thousand eight hundred and thirty-six
Binary (base 2)1011101011011100
Octal (base 8)135334
Hexadecimal (base 16)BADC
Base 32102121201
As time47836 seconds = 13 h 17 min 16 s

Is 47836 divisible by 2 to 12?

DivisorAnswerRule
2Yes (47836 ÷ 2 = 23918)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 (47836 ÷ 4 = 11959)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 47836 a prime number?

No. 47836 = 222^{2} × 11959, so it is divisible by 2.

What are the factors of 47836?

1, 2, 4, 11959, 23918, 47836.

What is 47836 in binary?

1011101011011100 (hexadecimal BADC, octal 135334).

What is the square root of 47836?

About 218.7144, exactly 2√11959.

Is 47836 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 47836?

It is a composite number with 6 divisors.

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