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The number 47020

47020 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 5 × 2351. Divisors (12): 1, 2, 4, 5, 10, 20, 2351, 4702, 9404, 11755, 23510, 47020.

Number

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How to work it out

  1. 1

    47020 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

    47020 is composite. Its prime factorisation is

    47020=22×5×235147020 = 2^{2} \times 5 \times 2351
  3. 3

    The divisors add up to 98784; without 47020 itself that is 51764, so 47020 is abundant (51764 is more than 47020). Euler's totient φ(47020) = 18800 numbers up to 47020 share no factor with it.

  4. 4

    The digits of 47020 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47020 = 2^{2} \times 5 \times 2351 \]

47020 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors98784
Euler totient φ(n)18800
Square2210880400
Cube103955596408000
Square root216.840956 (= 2√11755)
Digit sum / digital root13 / 4
Collatz steps to 1158
Scientific notation4.702 × 10410^{4}

47020 in other forms

FormValue
In wordsforty-seven thousand and twenty
Binary (base 2)1011011110101100
Octal (base 8)133654
Hexadecimal (base 16)B7AC
Base 32101111111
As time47020 seconds = 13 h 3 min 40 s

Is 47020 divisible by 2 to 12?

DivisorAnswerRule
2Yes (47020 ÷ 2 = 23510)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 (47020 ÷ 4 = 11755)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (47020 ÷ 5 = 9404)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (47020 ÷ 10 = 4702)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)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 47020 a prime number?

No. 47020 = 222^{2} × 5 × 2351, so it is divisible by 2.

What are the factors of 47020?

1, 2, 4, 5, 10, 20, 2351, 4702, 9404, 11755, 23510, 47020.

What is 47020 in binary?

1011011110101100 (hexadecimal B7AC, octal 133654).

What is the square root of 47020?

About 216.8410, exactly 2√11755.

Is 47020 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 47020?

It is a composite number with 12 divisors.

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    47020: is it prime? Factors, square root, binary, Roman numeral | WordGPT