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The number 6973

6973 is a composite number with 4 divisors. Its prime factorisation is 19 × 367. Divisors (4): 1, 19, 367, 6973.

Number

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How to work it out

  1. 1

    What is special about 6973: a semiprime: 19 × 367, the product of two primes.

  2. 2

    6973 is composite. Its prime factorisation is

    6973=19×3676973 = 19 \times 367
  3. 3

    The divisors add up to 7360; without 6973 itself that is 387, so 6973 is deficient (387 is less than 6973). Euler's totient φ(6973) = 6588 numbers up to 6973 share no factor with it.

  4. 4

    The digits of 6973 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 181 steps to reach 1.

LaTeX source of the formulas on this page
\[ 6973 = 19 \times 367 \]

6973 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors7360
Euler totient φ(n)6588
Square48622729
Cube339046289317
Square root83.504491
Digit sum / digital root25 / 7
Collatz steps to 1181
Scientific notation6.973 × 10310^{3}

6973 in other forms

FormValue
In wordssix thousand nine hundred and seventy-three
Binary (base 2)1101100111101
Octal (base 8)15475
Hexadecimal (base 16)1B3D
Base 3100120021
As time6973 seconds = 1 h 56 min 13 s

Is 6973 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 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 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 10)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 6973 a prime number?

No. 6973 = 19 × 367, so it is divisible by 19.

What are the factors of 6973?

1, 19, 367, 6973.

What is 6973 in binary?

1101100111101 (hexadecimal 1B3D, octal 15475).

What is the square root of 6973?

About 83.5045.

Is 6973 divisible by 3?

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

What is special about the number 6973?

6973 is a semiprime: 19 × 367, the product of two primes.

All about 6973

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