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The number 58349

58349 is a composite number with 8 divisors. Its prime factorisation is 19 × 37 × 83. Divisors (8): 1, 19, 37, 83, 703, 1577, 3071, 58349.

Number

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How to work it out

  1. 1

    58349 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

    58349 is composite. Its prime factorisation is

    58349=19×37×8358349 = 19 \times 37 \times 83
  3. 3

    The divisors add up to 63840; without 58349 itself that is 5491, so 58349 is deficient (5491 is less than 58349). Euler's totient φ(58349) = 53136 numbers up to 58349 share no factor with it.

  4. 4

    The digits of 58349 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.

LaTeX source of the formulas on this page
\[ 58349 = 19 \times 37 \times 83 \]

58349 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors63840
Euler totient φ(n)53136
Square3404605801
Cube198655343882549
Square root241.555377
Digit sum / digital root29 / 2
Collatz steps to 173
Scientific notation5.8349 × 10410^{4}

58349 in other forms

FormValue
In wordsfifty-eight thousand three hundred and forty-nine
Binary (base 2)1110001111101101
Octal (base 8)161755
Hexadecimal (base 16)E3ED
Base 32222001002
As time58349 seconds = 16 h 12 min 29 s

Is 58349 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 2)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 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 58349 a prime number?

No. 58349 = 19 × 37 × 83, so it is divisible by 19.

What are the factors of 58349?

1, 19, 37, 83, 703, 1577, 3071, 58349.

What is 58349 in binary?

1110001111101101 (hexadecimal E3ED, octal 161755).

What is the square root of 58349?

About 241.5554.

Is 58349 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 58349?

It is a composite number with 8 divisors.

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    58349: is it prime? Factors, square root, binary, Roman numeral | WordGPT