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The number 27484

27484 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 6871. Divisors (6): 1, 2, 4, 6871, 13742, 27484.

Number

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How to work it out

  1. 1

    27484 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

    27484 is composite. Its prime factorisation is

    27484=22×687127484 = 2^{2} \times 6871
  3. 3

    The divisors add up to 48104; without 27484 itself that is 20620, so 27484 is deficient (20620 is less than 27484). Euler's totient φ(27484) = 13740 numbers up to 27484 share no factor with it.

  4. 4

    The digits of 27484 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27484 = 2^{2} \times 6871 \]

27484 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors48104
Euler totient φ(n)13740
Square755370256
Cube20760596115904
Square root165.782991 (= 2√6871)
Digit sum / digital root25 / 7
Collatz steps to 1152
Scientific notation2.7484 × 10410^{4}

27484 in other forms

FormValue
In wordstwenty-seven thousand four hundred and eighty-four
Binary (base 2)110101101011100
Octal (base 8)65534
Hexadecimal (base 16)6B5C
Base 31101200221
As time27484 seconds = 7 h 38 min 4 s

Is 27484 divisible by 2 to 12?

DivisorAnswerRule
2Yes (27484 ÷ 2 = 13742)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.
4Yes (27484 ÷ 4 = 6871)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 27484 a prime number?

No. 27484 = 222^{2} × 6871, so it is divisible by 2.

What are the factors of 27484?

1, 2, 4, 6871, 13742, 27484.

What is 27484 in binary?

110101101011100 (hexadecimal 6B5C, octal 65534).

What is the square root of 27484?

About 165.7830, exactly 2√6871.

Is 27484 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 27484?

It is a composite number with 6 divisors.

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    27484: is it prime? Factors, square root, binary, Roman numeral | WordGPT