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The number 47444

47444 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 29 × 409. Divisors (12): 1, 2, 4, 29, 58, 116, 409, 818, 1636, 11861, 23722, 47444.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    47444 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

    47444 is composite. Its prime factorisation is

    47444=22×29×40947444 = 2^{2} \times 29 \times 409
  3. 3

    The divisors add up to 86100; without 47444 itself that is 38656, so 47444 is deficient (38656 is less than 47444). Euler's totient φ(47444) = 22848 numbers up to 47444 share no factor with it.

  4. 4

    The digits of 47444 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47444 = 2^{2} \times 29 \times 409 \]

47444 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors86100
Euler totient φ(n)22848
Square2250933136
Cube106793271704384
Square root217.816436 (= 2√11861)
Digit sum / digital root23 / 5
Collatz steps to 152
Scientific notation4.7444 × 10410^{4}

47444 in other forms

FormValue
In wordsforty-seven thousand four hundred and forty-four
Binary (base 2)1011100101010100
Octal (base 8)134524
Hexadecimal (base 16)B954
Base 32102002012
As time47444 seconds = 13 h 10 min 44 s

Is 47444 divisible by 2 to 12?

DivisorAnswerRule
2Yes (47444 ÷ 2 = 23722)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.
4Yes (47444 ÷ 4 = 11861)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 2)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 5)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 47444 a prime number?

No. 47444 = 222^{2} × 29 × 409, so it is divisible by 2.

What are the factors of 47444?

1, 2, 4, 29, 58, 116, 409, 818, 1636, 11861, 23722, 47444.

What is 47444 in binary?

1011100101010100 (hexadecimal B954, octal 134524).

What is the square root of 47444?

About 217.8164, exactly 2√11861.

Is 47444 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 47444?

It is a composite number with 12 divisors.

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    47444: is it prime? Factors, square root, binary, Roman numeral | WordGPT