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The number 67813

67813 is a composite number with 4 divisors. Its prime factorisation is 17 × 3989. Divisors (4): 1, 17, 3989, 67813.

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How to work it out

  1. 1

    What is special about 67813: a semiprime: 17 × 3989, the product of two primes.

  2. 2

    67813 is composite. Its prime factorisation is

    67813=17×398967813 = 17 \times 3989
  3. 3

    The divisors add up to 71820; without 67813 itself that is 4007, so 67813 is deficient (4007 is less than 67813). Euler's totient φ(67813) = 63808 numbers up to 67813 share no factor with it.

  4. 4

    The digits of 67813 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.

LaTeX source of the formulas on this page
\[ 67813 = 17 \times 3989 \]

67813 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors71820
Euler totient φ(n)63808
Square4598602969
Cube311845063136797
Square root260.409293
Digit sum / digital root25 / 7
Collatz steps to 160
Scientific notation6.7813 × 10410^{4}

67813 in other forms

FormValue
In wordssixty-seven thousand eight hundred and thirteen
Binary (base 2)10000100011100101
Octal (base 8)204345
Hexadecimal (base 16)108E5
Base 310110000121
As time67813 seconds = 18 h 50 min 13 s

Is 67813 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 3)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 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 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 67813 a prime number?

No. 67813 = 17 × 3989, so it is divisible by 17.

What are the factors of 67813?

1, 17, 3989, 67813.

What is 67813 in binary?

10000100011100101 (hexadecimal 108E5, octal 204345).

What is the square root of 67813?

About 260.4093.

Is 67813 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 67813?

67813 is a semiprime: 17 × 3989, the product of two primes.

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    67813: is it prime? Factors, square root, binary, Roman numeral | WordGPT