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The number 47314

47314 is a composite number with 8 divisors. Its prime factorisation is 2 × 41 × 577. Divisors (8): 1, 2, 41, 82, 577, 1154, 23657, 47314.

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How to work it out

  1. 1

    What is special about 47314: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    47314 is composite. Its prime factorisation is

    47314=2×41×57747314 = 2 \times 41 \times 577
  3. 3

    The divisors add up to 72828; without 47314 itself that is 25514, so 47314 is deficient (25514 is less than 47314). Euler's totient φ(47314) = 23040 numbers up to 47314 share no factor with it.

  4. 4

    The digits of 47314 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47314 = 2 \times 41 \times 577 \]

47314 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors72828
Euler totient φ(n)23040
Square2238614596
Cube105917810995144
Square root217.517815
Digit sum / digital root19 / 1
Collatz steps to 183
Scientific notation4.7314 × 10410^{4}

47314 in other forms

FormValue
In wordsforty-seven thousand three hundred and fourteen
Binary (base 2)1011100011010010
Octal (base 8)134322
Hexadecimal (base 16)B8D2
Base 32101220101
As time47314 seconds = 13 h 8 min 34 s

Is 47314 divisible by 2 to 12?

DivisorAnswerRule
2Yes (47314 ÷ 2 = 23657)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.
4No (remainder 2)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 4)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 2)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 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 47314 a prime number?

No. 47314 = 2 × 41 × 577, so it is divisible by 2.

What are the factors of 47314?

1, 2, 41, 82, 577, 1154, 23657, 47314.

What is 47314 in binary?

1011100011010010 (hexadecimal B8D2, octal 134322).

What is the square root of 47314?

About 217.5178.

Is 47314 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 47314?

47314 is a happy number: repeatedly adding the squares of its digits reaches 1.

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