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The number 6443

6443 is a composite number with 4 divisors. Its prime factorisation is 17 × 379. Divisors (4): 1, 17, 379, 6443.

Number

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How to work it out

  1. 1

    What is special about 6443: a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 379, the product of two primes.

  2. 2

    6443 is composite. Its prime factorisation is

    6443=17×3796443 = 17 \times 379
  3. 3

    The divisors add up to 6840; without 6443 itself that is 397, so 6443 is deficient (397 is less than 6443). Euler's totient φ(6443) = 6048 numbers up to 6443 share no factor with it.

  4. 4

    The digits of 6443 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.

LaTeX source of the formulas on this page
\[ 6443 = 17 \times 379 \]

6443 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors6840
Euler totient φ(n)6048
Square41512249
Cube267463420307
Square root80.268300
Digit sum / digital root17 / 8
Collatz steps to 175
Scientific notation6.443 × 10310^{3}

6443 in other forms

FormValue
In wordssix thousand four hundred and forty-three
Binary (base 2)1100100101011
Octal (base 8)14453
Hexadecimal (base 16)192B
Base 322211122
As time6443 seconds = 1 h 47 min 23 s

Is 6443 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 3)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 6443 a prime number?

No. 6443 = 17 × 379, so it is divisible by 17.

What are the factors of 6443?

1, 17, 379, 6443.

What is 6443 in binary?

1100100101011 (hexadecimal 192B, octal 14453).

What is the square root of 6443?

About 80.2683.

Is 6443 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 6443?

6443 is a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 379, the product of two primes.

All about 6443

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