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The number 58387

58387 is a composite number with 8 divisors. Its prime factorisation is 7 × 19 × 439. Divisors (8): 1, 7, 19, 133, 439, 3073, 8341, 58387.

Number

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How to work it out

  1. 1

    58387 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

    58387 is composite. Its prime factorisation is

    58387=7×19×43958387 = 7 \times 19 \times 439
  3. 3

    The divisors add up to 70400; without 58387 itself that is 12013, so 58387 is deficient (12013 is less than 58387). Euler's totient φ(58387) = 47304 numbers up to 58387 share no factor with it.

  4. 4

    The digits of 58387 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.

LaTeX source of the formulas on this page
\[ 58387 = 7 \times 19 \times 439 \]

58387 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors70400
Euler totient φ(n)47304
Square3409041769
Cube199043721766603
Square root241.634021
Digit sum / digital root31 / 4
Collatz steps to 147
Scientific notation5.8387 × 10410^{4}

58387 in other forms

FormValue
In wordsfifty-eight thousand three hundred and eighty-seven
Binary (base 2)1110010000010011
Octal (base 8)162023
Hexadecimal (base 16)E413
Base 32222002111
As time58387 seconds = 16 h 13 min 7 s

Is 58387 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 1)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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (58387 ÷ 7 = 8341)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 3)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.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 58387 a prime number?

No. 58387 = 7 × 19 × 439, so it is divisible by 7.

What are the factors of 58387?

1, 7, 19, 133, 439, 3073, 8341, 58387.

What is 58387 in binary?

1110010000010011 (hexadecimal E413, octal 162023).

What is the square root of 58387?

About 241.6340.

Is 58387 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 58387?

It is a composite number with 8 divisors.

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    58387: is it prime? Factors, square root, binary, Roman numeral | WordGPT