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The number 58468

58468 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 47 × 311. Divisors (12): 1, 2, 4, 47, 94, 188, 311, 622, 1244, 14617, 29234, 58468.

Number

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How to work it out

  1. 1

    58468 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

    58468 is composite. Its prime factorisation is

    58468=22×47×31158468 = 2^{2} \times 47 \times 311
  3. 3

    The divisors add up to 104832; without 58468 itself that is 46364, so 58468 is deficient (46364 is less than 58468). Euler's totient φ(58468) = 28520 numbers up to 58468 share no factor with it.

  4. 4

    The digits of 58468 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
\[ 58468 = 2^{2} \times 47 \times 311 \]

58468 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors104832
Euler totient φ(n)28520
Square3418507024
Cube199873268679232
Square root241.801572 (= 2√14617)
Digit sum / digital root31 / 4
Collatz steps to 147
Scientific notation5.8468 × 10410^{4}

58468 in other forms

FormValue
In wordsfifty-eight thousand four hundred and sixty-eight
Binary (base 2)1110010001100100
Octal (base 8)162144
Hexadecimal (base 16)E464
Base 32222012111
As time58468 seconds = 16 h 14 min 28 s

Is 58468 divisible by 2 to 12?

DivisorAnswerRule
2Yes (58468 ÷ 2 = 29234)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.
4Yes (58468 ÷ 4 = 14617)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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 4)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 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 58468 a prime number?

No. 58468 = 222^{2} × 47 × 311, so it is divisible by 2.

What are the factors of 58468?

1, 2, 4, 47, 94, 188, 311, 622, 1244, 14617, 29234, 58468.

What is 58468 in binary?

1110010001100100 (hexadecimal E464, octal 162144).

What is the square root of 58468?

About 241.8016, exactly 2√14617.

Is 58468 divisible by 3?

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

What is special about the number 58468?

It is a composite number with 12 divisors.

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