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The number 59189

59189 is a composite number with 8 divisors. Its prime factorisation is 13 × 29 × 157. Divisors (8): 1, 13, 29, 157, 377, 2041, 4553, 59189.

Number

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How to work it out

  1. 1

    59189 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

    59189 is composite. Its prime factorisation is

    59189=13×29×15759189 = 13 \times 29 \times 157
  3. 3

    The divisors add up to 66360; without 59189 itself that is 7171, so 59189 is deficient (7171 is less than 59189). Euler's totient φ(59189) = 52416 numbers up to 59189 share no factor with it.

  4. 4

    The digits of 59189 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.

LaTeX source of the formulas on this page
\[ 59189 = 13 \times 29 \times 157 \]

59189 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors66360
Euler totient φ(n)52416
Square3503337721
Cube207359056368269
Square root243.287895
Digit sum / digital root32 / 5
Collatz steps to 173
Scientific notation5.9189 × 10410^{4}

59189 in other forms

FormValue
In wordsfifty-nine thousand one hundred and eighty-nine
Binary (base 2)1110011100110101
Octal (base 8)163465
Hexadecimal (base 16)E735
Base 310000012012
As time59189 seconds = 16 h 26 min 29 s

Is 59189 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 5)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 9)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 59189 a prime number?

No. 59189 = 13 × 29 × 157, so it is divisible by 13.

What are the factors of 59189?

1, 13, 29, 157, 377, 2041, 4553, 59189.

What is 59189 in binary?

1110011100110101 (hexadecimal E735, octal 163465).

What is the square root of 59189?

About 243.2879.

Is 59189 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 59189?

It is a composite number with 8 divisors.

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    59189: is it prime? Factors, square root, binary, Roman numeral | WordGPT