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The number 47081

47081 is a composite number with 6 divisors. Its prime factorisation is 23223^{2} Ɨ 89. Divisors (6): 1, 23, 89, 529, 2047, 47081.

Number

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How to work it out

  1. 1

    What is special about 47081: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    47081 is composite. Its prime factorisation is

    47081=232Ɨ8947081 = 23^{2} \times 89
  3. 3

    The divisors add up to 49770; without 47081 itself that is 2689, so 47081 is deficient (2689 is less than 47081). Euler's totient φ(47081) = 44528 numbers up to 47081 share no factor with it.

  4. 4

    The digits of 47081 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 251 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47081 = 23^{2} \times 89 \]

47081 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors49770
Euler totient φ(n)44528
Square2216620561
Cube104360712632441
Square root216.981566 (= 23√89)
Digit sum / digital root20 / 2
Collatz steps to 1251
Scientific notation4.7081 Ɨ 10410^{4}

47081 in other forms

FormValue
In wordsforty-seven thousand and eighty-one
Binary (base 2)1011011111101001
Octal (base 8)133751
Hexadecimal (base 16)B7E9
Base 32101120202
As time47081 seconds = 13 h 4 min 41 s

Is 47081 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).
3No (remainder 2)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 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 1)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 1)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 47081 a prime number?

No. 47081 = 23223^{2} Ɨ 89, so it is divisible by 23.

What are the factors of 47081?

1, 23, 89, 529, 2047, 47081.

What is 47081 in binary?

1011011111101001 (hexadecimal B7E9, octal 133751).

What is the square root of 47081?

About 216.9816, exactly 23√89.

Is 47081 divisible by 3?

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

What is special about the number 47081?

47081 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    47081: is it prime? Factors, square root, binary, Roman numeral | WordGPT