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The number 58981

58981 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 349. Divisors (6): 1, 13, 169, 349, 4537, 58981.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    58981 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

    58981 is composite. Its prime factorisation is

    58981=132Ɨ34958981 = 13^{2} \times 349
  3. 3

    The divisors add up to 64050; without 58981 itself that is 5069, so 58981 is deficient (5069 is less than 58981). Euler's totient φ(58981) = 54288 numbers up to 58981 share no factor with it.

  4. 4

    The digits of 58981 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
\[ 58981 = 13^{2} \times 349 \]

58981 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors64050
Euler totient φ(n)54288
Square3478758361
Cube205180646890141
Square root242.860042 (= 13√349)
Digit sum / digital root31 / 4
Collatz steps to 147
Scientific notation5.8981 Ɨ 10410^{4}

58981 in other forms

FormValue
In wordsfifty-eight thousand nine hundred and eighty-one
Binary (base 2)1110011001100101
Octal (base 8)163145
Hexadecimal (base 16)E665
Base 32222220111
As time58981 seconds = 16 h 23 min 1 s

Is 58981 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)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 6)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 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 58981 a prime number?

No. 58981 = 13213^{2} Ɨ 349, so it is divisible by 13.

What are the factors of 58981?

1, 13, 169, 349, 4537, 58981.

What is 58981 in binary?

1110011001100101 (hexadecimal E665, octal 163145).

What is the square root of 58981?

About 242.8600, exactly 13√349.

Is 58981 divisible by 3?

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

What is special about the number 58981?

It is a composite number with 6 divisors.

Find the next one

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    58981: is it prime? Factors, square root, binary, Roman numeral | WordGPT