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The number 58887

58887 is a composite number with 10 divisors. Its prime factorisation is 343^{4} × 727. Divisors (10): 1, 3, 9, 27, 81, 727, 2181, 6543, 19629, 58887.

Number

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How to work it out

  1. 1

    58887 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

    58887 is composite. Its prime factorisation is

    58887=34×72758887 = 3^{4} \times 727
  3. 3

    The divisors add up to 88088; without 58887 itself that is 29201, so 58887 is deficient (29201 is less than 58887). Euler's totient φ(58887) = 39204 numbers up to 58887 share no factor with it.

  4. 4

    The digits of 58887 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.

LaTeX source of the formulas on this page
\[ 58887 = 3^{4} \times 727 \]

58887 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors88088
Euler totient φ(n)39204
Square3467678769
Cube204201199670103
Square root242.666438 (= 9√727)
Digit sum / digital root36 / 9
Collatz steps to 1166
Scientific notation5.8887 × 10410^{4}

58887 in other forms

FormValue
In wordsfifty-eight thousand eight hundred and eighty-seven
Binary (base 2)1110011000000111
Octal (base 8)163007
Hexadecimal (base 16)E607
Base 32222210000
As time58887 seconds = 16 h 21 min 27 s

Is 58887 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 (58887 ÷ 3 = 19629)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (58887 ÷ 9 = 6543)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 58887 a prime number?

No. 58887 = 343^{4} × 727, so it is divisible by 3.

What are the factors of 58887?

1, 3, 9, 27, 81, 727, 2181, 6543, 19629, 58887.

What is 58887 in binary?

1110011000000111 (hexadecimal E607, octal 163007).

What is the square root of 58887?

About 242.6664, exactly 9√727.

Is 58887 divisible by 3?

Yes. Its digits add up to 36, a multiple of 3.

What is special about the number 58887?

It is a composite number with 10 divisors.

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    58887: is it prime? Factors, square root, binary, Roman numeral | WordGPT