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The number 58375

58375 is a composite number with 8 divisors. Its prime factorisation is 535^{3} Ɨ 467. Divisors (8): 1, 5, 25, 125, 467, 2335, 11675, 58375.

Number

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How to work it out

  1. 1

    58375 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

    58375 is composite. Its prime factorisation is

    58375=53Ɨ46758375 = 5^{3} \times 467
  3. 3

    The divisors add up to 73008; without 58375 itself that is 14633, so 58375 is deficient (14633 is less than 58375). Euler's totient φ(58375) = 46600 numbers up to 58375 share no factor with it.

  4. 4

    The digits of 58375 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.

LaTeX source of the formulas on this page
\[ 58375 = 5^{3} \times 467 \]

58375 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors73008
Euler totient φ(n)46600
Square3407640625
Cube198921021484375
Square root241.609189 (= 5√2335)
Digit sum / digital root28 / 1
Collatz steps to 1122
Scientific notation5.8375 Ɨ 10410^{4}

58375 in other forms

FormValue
In wordsfifty-eight thousand three hundred and seventy-five
Binary (base 2)1110010000000111
Octal (base 8)162007
Hexadecimal (base 16)E407
Base 32222002001
As time58375 seconds = 16 h 12 min 55 s

Is 58375 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.
5Yes (58375 Ć· 5 = 11675)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.
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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)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 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 58375 a prime number?

No. 58375 = 535^{3} Ɨ 467, so it is divisible by 5.

What are the factors of 58375?

1, 5, 25, 125, 467, 2335, 11675, 58375.

What is 58375 in binary?

1110010000000111 (hexadecimal E407, octal 162007).

What is the square root of 58375?

About 241.6092, exactly 5√2335.

Is 58375 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 58375?

It is a composite number with 8 divisors.

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    58375: is it prime? Factors, square root, binary, Roman numeral | WordGPT