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The number 58682

58682 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 37 × 61. Divisors (16): 1, 2, 13, 26, 37, 61, 74, 122, 481, 793, 962, 1586, 2257, 4514, 29341, 58682.

Number

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How to work it out

  1. 1

    What is special about 58682: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    58682 is composite. Its prime factorisation is

    58682=2×13×37×6158682 = 2 \times 13 \times 37 \times 61
  3. 3

    The divisors add up to 98952; without 58682 itself that is 40270, so 58682 is deficient (40270 is less than 58682). Euler's totient φ(58682) = 25920 numbers up to 58682 share no factor with it.

  4. 4

    The digits of 58682 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 78 steps to reach 1.

LaTeX source of the formulas on this page
\[ 58682 = 2 \times 13 \times 37 \times 61 \]

58682 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors98952
Euler totient φ(n)25920
Square3443577124
Cube202075992790568
Square root242.243679
Digit sum / digital root29 / 2
Collatz steps to 178
Scientific notation5.8682 × 10410^{4}

58682 in other forms

FormValue
In wordsfifty-eight thousand six hundred and eighty-two
Binary (base 2)1110010100111010
Octal (base 8)162472
Hexadecimal (base 16)E53A
Base 32222111102
As time58682 seconds = 16 h 18 min 2 s

Is 58682 divisible by 2 to 12?

DivisorAnswerRule
2Yes (58682 ÷ 2 = 29341)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 2)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 2)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 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 58682 a prime number?

No. 58682 = 2 × 13 × 37 × 61, so it is divisible by 2.

What are the factors of 58682?

1, 2, 13, 26, 37, 61, 74, 122, 481, 793, 962, 1586, 2257, 4514, 29341, 58682.

What is 58682 in binary?

1110010100111010 (hexadecimal E53A, octal 162472).

What is the square root of 58682?

About 242.2437.

Is 58682 divisible by 3?

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

What is special about the number 58682?

58682 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    58682: is it prime? Factors, square root, binary, Roman numeral | WordGPT