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The number 67997

67997 is a composite number with 4 divisors. Its prime factorisation is 97 × 701. Divisors (4): 1, 97, 701, 67997.

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How to work it out

  1. 1

    What is special about 67997: a semiprime: 97 × 701, the product of two primes.

  2. 2

    67997 is composite. Its prime factorisation is

    67997=97×70167997 = 97 \times 701
  3. 3

    The divisors add up to 68796; without 67997 itself that is 799, so 67997 is deficient (799 is less than 67997). Euler's totient φ(67997) = 67200 numbers up to 67997 share no factor with it.

  4. 4

    The digits of 67997 add up to 38, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 67997 = 97 \times 701 \]

67997 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors68796
Euler totient φ(n)67200
Square4623592009
Cube314390385835973
Square root260.762344
Digit sum / digital root38 / 2
Collatz steps to 186
Scientific notation6.7997 × 10410^{4}

67997 in other forms

FormValue
In wordssixty-seven thousand nine hundred and ninety-seven
Binary (base 2)10000100110011101
Octal (base 8)204635
Hexadecimal (base 16)1099D
Base 310110021102
As time67997 seconds = 18 h 53 min 17 s

Is 67997 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 2)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 6)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 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)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 67997 a prime number?

No. 67997 = 97 × 701, so it is divisible by 97.

What are the factors of 67997?

1, 97, 701, 67997.

What is 67997 in binary?

10000100110011101 (hexadecimal 1099D, octal 204635).

What is the square root of 67997?

About 260.7623.

Is 67997 divisible by 3?

No. Its digits add up to 38, which is not a multiple of 3.

What is special about the number 67997?

67997 is a semiprime: 97 × 701, the product of two primes.

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