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The number 58322

58322 is a composite number with 12 divisors. Its prime factorisation is 2 × 11211^{2} × 241. Divisors (12): 1, 2, 11, 22, 121, 241, 242, 482, 2651, 5302, 29161, 58322.

Number

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How to work it out

  1. 1

    58322 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

    58322 is composite. Its prime factorisation is

    58322=2×112×24158322 = 2 \times 11^{2} \times 241
  3. 3

    The divisors add up to 96558; without 58322 itself that is 38236, so 58322 is deficient (38236 is less than 58322). Euler's totient φ(58322) = 26400 numbers up to 58322 share no factor with it.

  4. 4

    The digits of 58322 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 241 steps to reach 1.

LaTeX source of the formulas on this page
\[ 58322 = 2 \times 11^{2} \times 241 \]

58322 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors96558
Euler totient φ(n)26400
Square3401455684
Cube198379698402248
Square root241.499482 (= 11√482)
Digit sum / digital root20 / 2
Collatz steps to 1241
Scientific notation5.8322 × 10410^{4}

58322 in other forms

FormValue
In wordsfifty-eight thousand three hundred and twenty-two
Binary (base 2)1110001111010010
Octal (base 8)161722
Hexadecimal (base 16)E3D2
Base 32222000002
As time58322 seconds = 16 h 12 min 2 s

Is 58322 divisible by 2 to 12?

DivisorAnswerRule
2Yes (58322 ÷ 2 = 29161)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 5)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.
11Yes (58322 ÷ 11 = 5302)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 58322 a prime number?

No. 58322 = 2 × 11211^{2} × 241, so it is divisible by 2.

What are the factors of 58322?

1, 2, 11, 22, 121, 241, 242, 482, 2651, 5302, 29161, 58322.

What is 58322 in binary?

1110001111010010 (hexadecimal E3D2, octal 161722).

What is the square root of 58322?

About 241.4995, exactly 11√482.

Is 58322 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 58322?

It is a composite number with 12 divisors.

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