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The number 47332

47332 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 11833. Divisors (6): 1, 2, 4, 11833, 23666, 47332.

Number

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How to work it out

  1. 1

    47332 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

    47332 is composite. Its prime factorisation is

    47332=22×1183347332 = 2^{2} \times 11833
  3. 3

    The divisors add up to 82838; without 47332 itself that is 35506, so 47332 is deficient (35506 is less than 47332). Euler's totient φ(47332) = 23664 numbers up to 47332 share no factor with it.

  4. 4

    The digits of 47332 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 101 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47332 = 2^{2} \times 11833 \]

47332 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors82838
Euler totient φ(n)23664
Square2240318224
Cube106038742178368
Square root217.559187 (= 2√11833)
Digit sum / digital root19 / 1
Collatz steps to 1101
Scientific notation4.7332 × 10410^{4}

47332 in other forms

FormValue
In wordsforty-seven thousand three hundred and thirty-two
Binary (base 2)1011100011100100
Octal (base 8)134344
Hexadecimal (base 16)B8E4
Base 32101221001
As time47332 seconds = 13 h 8 min 52 s

Is 47332 divisible by 2 to 12?

DivisorAnswerRule
2Yes (47332 ÷ 2 = 23666)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 (47332 ÷ 4 = 11833)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 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 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)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 47332 a prime number?

No. 47332 = 222^{2} × 11833, so it is divisible by 2.

What are the factors of 47332?

1, 2, 4, 11833, 23666, 47332.

What is 47332 in binary?

1011100011100100 (hexadecimal B8E4, octal 134344).

What is the square root of 47332?

About 217.5592, exactly 2√11833.

Is 47332 divisible by 3?

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

What is special about the number 47332?

It is a composite number with 6 divisors.

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    47332: is it prime? Factors, square root, binary, Roman numeral | WordGPT