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The number 6442

6442 is a composite number with 4 divisors. Its prime factorisation is 2 × 3221. Divisors (4): 1, 2, 3221, 6442.

Number

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How to work it out

  1. 1

    What is special about 6442: a semiprime: 2 × 3221, the product of two primes.

  2. 2

    6442 is composite. Its prime factorisation is

    6442=2×32216442 = 2 \times 3221
  3. 3

    The divisors add up to 9666; without 6442 itself that is 3224, so 6442 is deficient (3224 is less than 6442). Euler's totient φ(6442) = 3220 numbers up to 6442 share no factor with it.

  4. 4

    The digits of 6442 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.

LaTeX source of the formulas on this page
\[ 6442 = 2 \times 3221 \]

6442 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors9666
Euler totient φ(n)3220
Square41499364
Cube267338902888
Square root80.262071
Digit sum / digital root16 / 7
Collatz steps to 123
Scientific notation6.442 × 10310^{3}

6442 in other forms

FormValue
In wordssix thousand four hundred and forty-two
Binary (base 2)1100100101010
Octal (base 8)14452
Hexadecimal (base 16)192A
Base 322211121
As time6442 seconds = 1 h 47 min 22 s

Is 6442 divisible by 2 to 12?

DivisorAnswerRule
2Yes (6442 ÷ 2 = 3221)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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 2)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 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 6442 a prime number?

No. 6442 = 2 × 3221, so it is divisible by 2.

What are the factors of 6442?

1, 2, 3221, 6442.

What is 6442 in binary?

1100100101010 (hexadecimal 192A, octal 14452).

What is the square root of 6442?

About 80.2621.

Is 6442 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 6442?

6442 is a semiprime: 2 × 3221, the product of two primes.

All about 6442

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