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The number 8143

8143 is a composite number with 4 divisors. Its prime factorisation is 17 × 479. Divisors (4): 1, 17, 479, 8143.

Number

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How to work it out

  1. 1

    What is special about 8143: a semiprime: 17 × 479, the product of two primes.

  2. 2

    8143 is composite. Its prime factorisation is

    8143=17×4798143 = 17 \times 479
  3. 3

    The divisors add up to 8640; without 8143 itself that is 497, so 8143 is deficient (497 is less than 8143). Euler's totient φ(8143) = 7648 numbers up to 8143 share no factor with it.

  4. 4

    The digits of 8143 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 158 steps to reach 1.

LaTeX source of the formulas on this page
\[ 8143 = 17 \times 479 \]

8143 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors8640
Euler totient φ(n)7648
Square66308449
Cube539949700207
Square root90.238573
Digit sum / digital root16 / 7
Collatz steps to 1158
Scientific notation8.143 × 10310^{3}

8143 in other forms

FormValue
In wordseight thousand one hundred and forty-three
Binary (base 2)1111111001111
Octal (base 8)17717
Hexadecimal (base 16)1FCF
Base 3102011121
As time8143 seconds = 2 h 15 min 43 s

Is 8143 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 1)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 1)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 7)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 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 8143 a prime number?

No. 8143 = 17 × 479, so it is divisible by 17.

What are the factors of 8143?

1, 17, 479, 8143.

What is 8143 in binary?

1111111001111 (hexadecimal 1FCF, octal 17717).

What is the square root of 8143?

About 90.2386.

Is 8143 divisible by 3?

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

What is special about the number 8143?

8143 is a semiprime: 17 × 479, the product of two primes.

All about 8143

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