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The number 47342

47342 is a composite number with 4 divisors. Its prime factorisation is 2 × 23671. Divisors (4): 1, 2, 23671, 47342.

Number

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How to work it out

  1. 1

    What is special about 47342: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 23671, the product of two primes.

  2. 2

    47342 is composite. Its prime factorisation is

    47342=2×2367147342 = 2 \times 23671
  3. 3

    The divisors add up to 71016; without 47342 itself that is 23674, so 47342 is deficient (23674 is less than 47342). Euler's totient φ(47342) = 23670 numbers up to 47342 share no factor with it.

  4. 4

    The digits of 47342 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47342 = 2 \times 23671 \]

47342 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors71016
Euler totient φ(n)23670
Square2241264964
Cube106105965925688
Square root217.582168
Digit sum / digital root20 / 2
Collatz steps to 1176
Scientific notation4.7342 × 10410^{4}

47342 in other forms

FormValue
In wordsforty-seven thousand three hundred and forty-two
Binary (base 2)1011100011101110
Octal (base 8)134356
Hexadecimal (base 16)B8EE
Base 32101221102
As time47342 seconds = 13 h 9 min 2 s

Is 47342 divisible by 2 to 12?

DivisorAnswerRule
2Yes (47342 ÷ 2 = 23671)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)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 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 47342 a prime number?

No. 47342 = 2 × 23671, so it is divisible by 2.

What are the factors of 47342?

1, 2, 23671, 47342.

What is 47342 in binary?

1011100011101110 (hexadecimal B8EE, octal 134356).

What is the square root of 47342?

About 217.5822.

Is 47342 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 47342?

47342 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 23671, the product of two primes.

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