WordGPT

The number 6773

6773 is a composite number with 4 divisors. Its prime factorisation is 13 × 521. Divisors (4): 1, 13, 521, 6773.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 6773: a semiprime: 13 × 521, the product of two primes.

  2. 2

    6773 is composite. Its prime factorisation is

    6773=13×5216773 = 13 \times 521
  3. 3

    The divisors add up to 7308; without 6773 itself that is 535, so 6773 is deficient (535 is less than 6773). Euler's totient φ(6773) = 6240 numbers up to 6773 share no factor with it.

  4. 4

    The digits of 6773 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.

LaTeX source of the formulas on this page
\[ 6773 = 13 \times 521 \]

6773 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors7308
Euler totient φ(n)6240
Square45873529
Cube310701411917
Square root82.298238
Digit sum / digital root23 / 5
Collatz steps to 136
Scientific notation6.773 × 10310^{3}

6773 in other forms

FormValue
In wordssix thousand seven hundred and seventy-three
Binary (base 2)1101001110101
Octal (base 8)15165
Hexadecimal (base 16)1A75
Base 3100021212
As time6773 seconds = 1 h 52 min 53 s

Is 6773 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 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 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 5)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 8)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 6773 a prime number?

No. 6773 = 13 × 521, so it is divisible by 13.

What are the factors of 6773?

1, 13, 521, 6773.

What is 6773 in binary?

1101001110101 (hexadecimal 1A75, octal 15165).

What is the square root of 6773?

About 82.2982.

Is 6773 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 6773?

6773 is a semiprime: 13 × 521, the product of two primes.

All about 6773

Find the next one

Nearby numbers

    6773: is it prime? Factors, square root, binary, Roman numeral | WordGPT