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The number 6743

6743 is a composite number with 4 divisors. Its prime factorisation is 11 × 613. Divisors (4): 1, 11, 613, 6743.

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How to work it out

  1. 1

    What is special about 6743: a semiprime: 11 × 613, the product of two primes.

  2. 2

    6743 is composite. Its prime factorisation is

    6743=11×6136743 = 11 \times 613
  3. 3

    The divisors add up to 7368; without 6743 itself that is 625, so 6743 is deficient (625 is less than 6743). Euler's totient φ(6743) = 6120 numbers up to 6743 share no factor with it.

  4. 4

    The digits of 6743 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 75 steps to reach 1.

LaTeX source of the formulas on this page
\[ 6743 = 11 \times 613 \]

6743 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors7368
Euler totient φ(n)6120
Square45468049
Cube306591054407
Square root82.115772
Digit sum / digital root20 / 2
Collatz steps to 175
Scientific notation6.743 × 10310^{3}

6743 in other forms

FormValue
In wordssix thousand seven hundred and forty-three
Binary (base 2)1101001010111
Octal (base 8)15127
Hexadecimal (base 16)1A57
Base 3100020202
As time6743 seconds = 1 h 52 min 23 s

Is 6743 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 3)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 2)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 7)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.
11Yes (6743 ÷ 11 = 613)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 6743 a prime number?

No. 6743 = 11 × 613, so it is divisible by 11.

What are the factors of 6743?

1, 11, 613, 6743.

What is 6743 in binary?

1101001010111 (hexadecimal 1A57, octal 15127).

What is the square root of 6743?

About 82.1158.

Is 6743 divisible by 3?

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

What is special about the number 6743?

6743 is a semiprime: 11 × 613, the product of two primes.

All about 6743

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