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The number 80127

80127 is a composite number with 12 divisors. Its prime factorisation is 323^{2} × 29 × 307. Divisors (12): 1, 3, 9, 29, 87, 261, 307, 921, 2763, 8903, 26709, 80127.

Number

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How to work it out

  1. 1

    80127 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

    80127 is composite. Its prime factorisation is

    80127=32×29×30780127 = 3^{2} \times 29 \times 307
  3. 3

    The divisors add up to 120120; without 80127 itself that is 39993, so 80127 is deficient (39993 is less than 80127). Euler's totient φ(80127) = 51408 numbers up to 80127 share no factor with it.

  4. 4

    The digits of 80127 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 169 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80127 = 3^{2} \times 29 \times 307 \]

80127 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors120120
Euler totient φ(n)51408
Square6420336129
Cube514442273008383
Square root283.067130 (= 3√8903)
Digit sum / digital root18 / 9
Collatz steps to 1169
Scientific notation8.0127 × 10410^{4}

80127 in other forms

FormValue
In wordseighty thousand one hundred and twenty-seven
Binary (base 2)10011100011111111
Octal (base 8)234377
Hexadecimal (base 16)138FF
Base 311001220200
As time80127 seconds = 22 h 15 min 27 s

Is 80127 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 (80127 ÷ 3 = 26709)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 2)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 5)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 (80127 ÷ 9 = 8903)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80127 a prime number?

No. 80127 = 323^{2} × 29 × 307, so it is divisible by 3.

What are the factors of 80127?

1, 3, 9, 29, 87, 261, 307, 921, 2763, 8903, 26709, 80127.

What is 80127 in binary?

10011100011111111 (hexadecimal 138FF, octal 234377).

What is the square root of 80127?

About 283.0671, exactly 3√8903.

Is 80127 divisible by 3?

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

What is special about the number 80127?

It is a composite number with 12 divisors.

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    80127: is it prime? Factors, square root, binary, Roman numeral | WordGPT