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The number 80271

80271 is a composite number with 10 divisors. Its prime factorisation is 343^{4} × 991. Divisors (10): 1, 3, 9, 27, 81, 991, 2973, 8919, 26757, 80271.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    80271 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

    80271 is composite. Its prime factorisation is

    80271=34×99180271 = 3^{4} \times 991
  3. 3

    The divisors add up to 120032; without 80271 itself that is 39761, so 80271 is deficient (39761 is less than 80271). Euler's totient φ(80271) = 53460 numbers up to 80271 share no factor with it.

  4. 4

    The digits of 80271 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 213 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80271 = 3^{4} \times 991 \]

80271 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors120032
Euler totient φ(n)53460
Square6443433441
Cube517220845742511
Square root283.321372 (= 9√991)
Digit sum / digital root18 / 9
Collatz steps to 1213
Scientific notation8.0271 × 10410^{4}

80271 in other forms

FormValue
In wordseighty thousand two hundred and seventy-one
Binary (base 2)10011100110001111
Octal (base 8)234617
Hexadecimal (base 16)1398F
Base 311002010000
As time80271 seconds = 22 h 17 min 51 s

Is 80271 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 (80271 ÷ 3 = 26757)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 1)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (80271 ÷ 9 = 8919)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)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 80271 a prime number?

No. 80271 = 343^{4} × 991, so it is divisible by 3.

What are the factors of 80271?

1, 3, 9, 27, 81, 991, 2973, 8919, 26757, 80271.

What is 80271 in binary?

10011100110001111 (hexadecimal 1398F, octal 234617).

What is the square root of 80271?

About 283.3214, exactly 9√991.

Is 80271 divisible by 3?

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

What is special about the number 80271?

It is a composite number with 10 divisors.

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    80271: is it prime? Factors, square root, binary, Roman numeral | WordGPT