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The number 71073

71073 is a composite number with 12 divisors. Its prime factorisation is 323^{2} × 53 × 149. Divisors (12): 1, 3, 9, 53, 149, 159, 447, 477, 1341, 7897, 23691, 71073.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    71073 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

    71073 is composite. Its prime factorisation is

    71073=32×53×14971073 = 3^{2} \times 53 \times 149
  3. 3

    The divisors add up to 105300; without 71073 itself that is 34227, so 71073 is deficient (34227 is less than 71073). Euler's totient φ(71073) = 46176 numbers up to 71073 share no factor with it.

  4. 4

    The digits of 71073 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 99 steps to reach 1.

LaTeX source of the formulas on this page
\[ 71073 = 3^{2} \times 53 \times 149 \]

71073 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors105300
Euler totient φ(n)46176
Square5051371329
Cube359016114466017
Square root266.595199 (= 3√7897)
Digit sum / digital root18 / 9
Collatz steps to 199
Scientific notation7.1073 × 10410^{4}

71073 in other forms

FormValue
In wordsseventy-one thousand and seventy-three
Binary (base 2)10001010110100001
Octal (base 8)212641
Hexadecimal (base 16)115A1
Base 310121111100
As time71073 seconds = 19 h 44 min 33 s

Is 71073 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 (71073 ÷ 3 = 23691)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)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 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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (71073 ÷ 9 = 7897)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 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 71073 a prime number?

No. 71073 = 323^{2} × 53 × 149, so it is divisible by 3.

What are the factors of 71073?

1, 3, 9, 53, 149, 159, 447, 477, 1341, 7897, 23691, 71073.

What is 71073 in binary?

10001010110100001 (hexadecimal 115A1, octal 212641).

What is the square root of 71073?

About 266.5952, exactly 3√7897.

Is 71073 divisible by 3?

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

What is special about the number 71073?

It is a composite number with 12 divisors.

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    71073: is it prime? Factors, square root, binary, Roman numeral | WordGPT