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The number 8422

8422 is a composite number with 4 divisors. Its prime factorisation is 2 × 4211. Divisors (4): 1, 2, 4211, 8422.

Number

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How to work it out

  1. 1

    What is special about 8422: a semiprime: 2 × 4211, the product of two primes.

  2. 2

    8422 is composite. Its prime factorisation is

    8422=2×42118422 = 2 \times 4211
  3. 3

    The divisors add up to 12636; without 8422 itself that is 4214, so 8422 is deficient (4214 is less than 8422). Euler's totient φ(8422) = 4210 numbers up to 8422 share no factor with it.

  4. 4

    The digits of 8422 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 127 steps to reach 1.

LaTeX source of the formulas on this page
\[ 8422 = 2 \times 4211 \]

8422 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors12636
Euler totient φ(n)4210
Square70930084
Cube597373167448
Square root91.771455
Digit sum / digital root16 / 7
Collatz steps to 1127
Scientific notation8.422 × 10310^{3}

8422 in other forms

FormValue
In wordseight thousand four hundred and twenty-two
Binary (base 2)10000011100110
Octal (base 8)20346
Hexadecimal (base 16)20E6
Base 3102112221
As time8422 seconds = 2 h 20 min 22 s

Is 8422 divisible by 2 to 12?

DivisorAnswerRule
2Yes (8422 ÷ 2 = 4211)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 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 6)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 8422 a prime number?

No. 8422 = 2 × 4211, so it is divisible by 2.

What are the factors of 8422?

1, 2, 4211, 8422.

What is 8422 in binary?

10000011100110 (hexadecimal 20E6, octal 20346).

What is the square root of 8422?

About 91.7715.

Is 8422 divisible by 3?

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

What is special about the number 8422?

8422 is a semiprime: 2 × 4211, the product of two primes.

All about 8422

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