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The number 47349

47349 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 5261. Divisors (6): 1, 3, 9, 5261, 15783, 47349.

Number

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How to work it out

  1. 1

    47349 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

    47349 is composite. Its prime factorisation is

    47349=32×526147349 = 3^{2} \times 5261
  3. 3

    The divisors add up to 68406; without 47349 itself that is 21057, so 47349 is deficient (21057 is less than 47349). Euler's totient φ(47349) = 31560 numbers up to 47349 share no factor with it.

  4. 4

    The digits of 47349 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47349 = 3^{2} \times 5261 \]

47349 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors68406
Euler totient φ(n)31560
Square2241927801
Cube106153039449549
Square root217.598254 (= 3√5261)
Digit sum / digital root27 / 9
Collatz steps to 1101
Scientific notation4.7349 × 10410^{4}

47349 in other forms

FormValue
In wordsforty-seven thousand three hundred and forty-nine
Binary (base 2)1011100011110101
Octal (base 8)134365
Hexadecimal (base 16)B8F5
Base 32101221200
As time47349 seconds = 13 h 9 min 9 s

Is 47349 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 (47349 ÷ 3 = 15783)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)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 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.
8No (remainder 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (47349 ÷ 9 = 5261)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 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 47349 a prime number?

No. 47349 = 323^{2} × 5261, so it is divisible by 3.

What are the factors of 47349?

1, 3, 9, 5261, 15783, 47349.

What is 47349 in binary?

1011100011110101 (hexadecimal B8F5, octal 134365).

What is the square root of 47349?

About 217.5983, exactly 3√5261.

Is 47349 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 47349?

It is a composite number with 6 divisors.

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    47349: is it prime? Factors, square root, binary, Roman numeral | WordGPT