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The number 67981

67981 is a composite number with 4 divisors. Its prime factorisation is 157 × 433. Divisors (4): 1, 157, 433, 67981.

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How to work it out

  1. 1

    What is special about 67981: a semiprime: 157 × 433, the product of two primes.

  2. 2

    67981 is composite. Its prime factorisation is

    67981=157×43367981 = 157 \times 433
  3. 3

    The divisors add up to 68572; without 67981 itself that is 591, so 67981 is deficient (591 is less than 67981). Euler's totient φ(67981) = 67392 numbers up to 67981 share no factor with it.

  4. 4

    The digits of 67981 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 130 steps to reach 1.

LaTeX source of the formulas on this page
\[ 67981 = 157 \times 433 \]

67981 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors68572
Euler totient φ(n)67392
Square4621416361
Cube314168505637141
Square root260.731663
Digit sum / digital root31 / 4
Collatz steps to 1130
Scientific notation6.7981 × 10410^{4}

67981 in other forms

FormValue
In wordssixty-seven thousand nine hundred and eighty-one
Binary (base 2)10000100110001101
Octal (base 8)204615
Hexadecimal (base 16)1098D
Base 310110020211
As time67981 seconds = 18 h 53 min 1 s

Is 67981 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 1)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 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)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 67981 a prime number?

No. 67981 = 157 × 433, so it is divisible by 157.

What are the factors of 67981?

1, 157, 433, 67981.

What is 67981 in binary?

10000100110001101 (hexadecimal 1098D, octal 204615).

What is the square root of 67981?

About 260.7317.

Is 67981 divisible by 3?

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

What is special about the number 67981?

67981 is a semiprime: 157 × 433, the product of two primes.

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