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The number 27055

27055 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 773. Divisors (8): 1, 5, 7, 35, 773, 3865, 5411, 27055.

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How to work it out

  1. 1

    What is special about 27055: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    27055 is composite. Its prime factorisation is

    27055=5×7×77327055 = 5 \times 7 \times 773
  3. 3

    The divisors add up to 37152; without 27055 itself that is 10097, so 27055 is deficient (10097 is less than 27055). Euler's totient φ(27055) = 18528 numbers up to 27055 share no factor with it.

  4. 4

    The digits of 27055 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 175 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27055 = 5 \times 7 \times 773 \]

27055 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors37152
Euler totient φ(n)18528
Square731973025
Cube19803530191375
Square root164.484042
Digit sum / digital root19 / 1
Collatz steps to 1175
Scientific notation2.7055 × 10410^{4}

27055 in other forms

FormValue
In wordstwenty-seven thousand and fifty-five
Binary (base 2)110100110101111
Octal (base 8)64657
Hexadecimal (base 16)69AF
Base 31101010001
As time27055 seconds = 7 h 30 min 55 s

Is 27055 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).
3No (remainder 1)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 (27055 ÷ 5 = 5411)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (27055 ÷ 7 = 3865)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.
9No (remainder 1)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 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 27055 a prime number?

No. 27055 = 5 × 7 × 773, so it is divisible by 5.

What are the factors of 27055?

1, 5, 7, 35, 773, 3865, 5411, 27055.

What is 27055 in binary?

110100110101111 (hexadecimal 69AF, octal 64657).

What is the square root of 27055?

About 164.4840.

Is 27055 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 27055?

27055 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    27055: is it prime? Factors, square root, binary, Roman numeral | WordGPT