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The number 8055

8055 is a composite number with 12 divisors. Its prime factorisation is 323^{2} × 5 × 179. Divisors (12): 1, 3, 5, 9, 15, 45, 179, 537, 895, 1611, 2685, 8055.

Number

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How to work it out

  1. 1

    8055 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

    8055 is composite. Its prime factorisation is

    8055=32×5×1798055 = 3^{2} \times 5 \times 179
  3. 3

    The divisors add up to 14040; without 8055 itself that is 5985, so 8055 is deficient (5985 is less than 8055). Euler's totient φ(8055) = 4272 numbers up to 8055 share no factor with it.

  4. 4

    The digits of 8055 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 70 steps to reach 1.

LaTeX source of the formulas on this page
\[ 8055 = 3^{2} \times 5 \times 179 \]

8055 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors14040
Euler totient φ(n)4272
Square64883025
Cube522632766375
Square root89.749652 (= 3√895)
Digit sum / digital root18 / 9
Collatz steps to 170
Scientific notation8.055 × 10310^{3}

8055 in other forms

FormValue
In wordseight thousand and fifty-five
Binary (base 2)1111101110111
Octal (base 8)17567
Hexadecimal (base 16)1F77
Base 3102001100
As time8055 seconds = 2 h 14 min 15 s

Is 8055 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 (8055 ÷ 3 = 2685)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.
5Yes (8055 ÷ 5 = 1611)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 (8055 ÷ 9 = 895)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)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 8055 a prime number?

No. 8055 = 323^{2} × 5 × 179, so it is divisible by 3.

What are the factors of 8055?

1, 3, 5, 9, 15, 45, 179, 537, 895, 1611, 2685, 8055.

What is 8055 in binary?

1111101110111 (hexadecimal 1F77, octal 17567).

What is the square root of 8055?

About 89.7497, exactly 3√895.

Is 8055 divisible by 3?

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

What is special about the number 8055?

It is a composite number with 12 divisors.

All about 8055

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    8055: is it prime? Factors, square root, binary, Roman numeral | WordGPT