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The number 47799

47799 is a composite number with 12 divisors. Its prime factorisation is 323^{2} × 47 × 113. Divisors (12): 1, 3, 9, 47, 113, 141, 339, 423, 1017, 5311, 15933, 47799.

Number

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How to work it out

  1. 1

    47799 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

    47799 is composite. Its prime factorisation is

    47799=32×47×11347799 = 3^{2} \times 47 \times 113
  3. 3

    The divisors add up to 71136; without 47799 itself that is 23337, so 47799 is deficient (23337 is less than 47799). Euler's totient φ(47799) = 30912 numbers up to 47799 share no factor with it.

  4. 4

    The digits of 47799 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47799 = 3^{2} \times 47 \times 113 \]

47799 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors71136
Euler totient φ(n)30912
Square2284744401
Cube109208497623399
Square root218.629824 (= 3√5311)
Digit sum / digital root36 / 9
Collatz steps to 196
Scientific notation4.7799 × 10410^{4}

47799 in other forms

FormValue
In wordsforty-seven thousand seven hundred and ninety-nine
Binary (base 2)1011101010110111
Octal (base 8)135267
Hexadecimal (base 16)BAB7
Base 32102120100
As time47799 seconds = 13 h 16 min 39 s

Is 47799 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).
3Yes (47799 ÷ 3 = 15933)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 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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.
8No (remainder 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (47799 ÷ 9 = 5311)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 47799 a prime number?

No. 47799 = 323^{2} × 47 × 113, so it is divisible by 3.

What are the factors of 47799?

1, 3, 9, 47, 113, 141, 339, 423, 1017, 5311, 15933, 47799.

What is 47799 in binary?

1011101010110111 (hexadecimal BAB7, octal 135267).

What is the square root of 47799?

About 218.6298, exactly 3√5311.

Is 47799 divisible by 3?

Yes. Its digits add up to 36, a multiple of 3.

What is special about the number 47799?

It is a composite number with 12 divisors.

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    47799: is it prime? Factors, square root, binary, Roman numeral | WordGPT