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The number 58221

58221 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 6469. Divisors (6): 1, 3, 9, 6469, 19407, 58221.

Number

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How to work it out

  1. 1

    58221 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

    58221 is composite. Its prime factorisation is

    58221=32×646958221 = 3^{2} \times 6469
  3. 3

    The divisors add up to 84110; without 58221 itself that is 25889, so 58221 is deficient (25889 is less than 58221). Euler's totient φ(58221) = 38808 numbers up to 58221 share no factor with it.

  4. 4

    The digits of 58221 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.

LaTeX source of the formulas on this page
\[ 58221 = 3^{2} \times 6469 \]

58221 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors84110
Euler totient φ(n)38808
Square3389684841
Cube197350841127861
Square root241.290282 (= 3√6469)
Digit sum / digital root18 / 9
Collatz steps to 1135
Scientific notation5.8221 × 10410^{4}

58221 in other forms

FormValue
In wordsfifty-eight thousand two hundred and twenty-one
Binary (base 2)1110001101101101
Octal (base 8)161555
Hexadecimal (base 16)E36D
Base 32221212100
As time58221 seconds = 16 h 10 min 21 s

Is 58221 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).
3Yes (58221 ÷ 3 = 19407)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (58221 ÷ 9 = 6469)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 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 58221 a prime number?

No. 58221 = 323^{2} × 6469, so it is divisible by 3.

What are the factors of 58221?

1, 3, 9, 6469, 19407, 58221.

What is 58221 in binary?

1110001101101101 (hexadecimal E36D, octal 161555).

What is the square root of 58221?

About 241.2903, exactly 3√6469.

Is 58221 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 58221?

It is a composite number with 6 divisors.

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    58221: is it prime? Factors, square root, binary, Roman numeral | WordGPT