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The number 71343

71343 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 7927. Divisors (6): 1, 3, 9, 7927, 23781, 71343.

Number

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How to work it out

  1. 1

    71343 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    71343 is composite. Its prime factorisation is

    71343=32×792771343 = 3^{2} \times 7927
  3. 3

    The divisors add up to 103064; without 71343 itself that is 31721, so 71343 is deficient (31721 is less than 71343). Euler's totient φ(71343) = 47556 numbers up to 71343 share no factor with it.

  4. 4

    The digits of 71343 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 218 steps to reach 1.

LaTeX source of the formulas on this page
\[ 71343 = 3^{2} \times 7927 \]

71343 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors103064
Euler totient φ(n)47556
Square5089823649
Cube363123288590607
Square root267.101104 (= 3√7927)
Digit sum / digital root18 / 9
Collatz steps to 1218
Scientific notation7.1343 × 10410^{4}

71343 in other forms

FormValue
In wordsseventy-one thousand three hundred and forty-three
Binary (base 2)10001011010101111
Octal (base 8)213257
Hexadecimal (base 16)116AF
Base 310121212100
As time71343 seconds = 19 h 49 min 3 s

Is 71343 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).
3Yes (71343 ÷ 3 = 23781)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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.
9Yes (71343 ÷ 9 = 7927)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 71343 a prime number?

No. 71343 = 323^{2} × 7927, so it is divisible by 3.

What are the factors of 71343?

1, 3, 9, 7927, 23781, 71343.

What is 71343 in binary?

10001011010101111 (hexadecimal 116AF, octal 213257).

What is the square root of 71343?

About 267.1011, exactly 3√7927.

Is 71343 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 71343?

It is a composite number with 6 divisors.

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    71343: is it prime? Factors, square root, binary, Roman numeral | WordGPT