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The number 67313

67313 is a composite number with 4 divisors. Its prime factorisation is 83 × 811. Divisors (4): 1, 83, 811, 67313.

Number

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How to work it out

  1. 1

    What is special about 67313: a semiprime: 83 × 811, the product of two primes.

  2. 2

    67313 is composite. Its prime factorisation is

    67313=83×81167313 = 83 \times 811
  3. 3

    The divisors add up to 68208; without 67313 itself that is 895, so 67313 is deficient (895 is less than 67313). Euler's totient φ(67313) = 66420 numbers up to 67313 share no factor with it.

  4. 4

    The digits of 67313 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 99 steps to reach 1.

LaTeX source of the formulas on this page
\[ 67313 = 83 \times 811 \]

67313 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors68208
Euler totient φ(n)66420
Square4531039969
Cube304997893433297
Square root259.447490
Digit sum / digital root20 / 2
Collatz steps to 199
Scientific notation6.7313 × 10410^{4}

67313 in other forms

FormValue
In wordssixty-seven thousand three hundred and thirteen
Binary (base 2)10000011011110001
Octal (base 8)203361
Hexadecimal (base 16)106F1
Base 310102100002
As time67313 seconds = 18 h 41 min 53 s

Is 67313 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 2)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 5)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 1)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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 67313 a prime number?

No. 67313 = 83 × 811, so it is divisible by 83.

What are the factors of 67313?

1, 83, 811, 67313.

What is 67313 in binary?

10000011011110001 (hexadecimal 106F1, octal 203361).

What is the square root of 67313?

About 259.4475.

Is 67313 divisible by 3?

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

What is special about the number 67313?

67313 is a semiprime: 83 × 811, the product of two primes.

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