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The number 67994

67994 is a composite number with 4 divisors. Its prime factorisation is 2 × 33997. Divisors (4): 1, 2, 33997, 67994.

Number

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How to work it out

  1. 1

    What is special about 67994: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 33997, the product of two primes.

  2. 2

    67994 is composite. Its prime factorisation is

    67994=2×3399767994 = 2 \times 33997
  3. 3

    The divisors add up to 101994; without 67994 itself that is 34000, so 67994 is deficient (34000 is less than 67994). Euler's totient φ(67994) = 33996 numbers up to 67994 share no factor with it.

  4. 4

    The digits of 67994 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.

LaTeX source of the formulas on this page
\[ 67994 = 2 \times 33997 \]

67994 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors101994
Euler totient φ(n)33996
Square4623184036
Cube314348775343784
Square root260.756591
Digit sum / digital root35 / 8
Collatz steps to 1130
Scientific notation6.7994 × 10410^{4}

67994 in other forms

FormValue
In wordssixty-seven thousand nine hundred and ninety-four
Binary (base 2)10000100110011010
Octal (base 8)204632
Hexadecimal (base 16)1099A
Base 310110021022
As time67994 seconds = 18 h 53 min 14 s

Is 67994 divisible by 2 to 12?

DivisorAnswerRule
2Yes (67994 ÷ 2 = 33997)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 4)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 3)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 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)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 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 67994 a prime number?

No. 67994 = 2 × 33997, so it is divisible by 2.

What are the factors of 67994?

1, 2, 33997, 67994.

What is 67994 in binary?

10000100110011010 (hexadecimal 1099A, octal 204632).

What is the square root of 67994?

About 260.7566.

Is 67994 divisible by 3?

No. Its digits add up to 35, which is not a multiple of 3.

What is special about the number 67994?

67994 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 33997, the product of two primes.

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    67994: is it prime? Factors, square root, binary, Roman numeral | WordGPT