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The number 27141

27141 is a composite number with 8 divisors. Its prime factorisation is 3 × 83 × 109. Divisors (8): 1, 3, 83, 109, 249, 327, 9047, 27141.

Number

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How to work it out

  1. 1

    27141 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

    27141 is composite. Its prime factorisation is

    27141=3×83×10927141 = 3 \times 83 \times 109
  3. 3

    The divisors add up to 36960; without 27141 itself that is 9819, so 27141 is deficient (9819 is less than 27141). Euler's totient φ(27141) = 17712 numbers up to 27141 share no factor with it.

  4. 4

    The digits of 27141 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27141 = 3 \times 83 \times 109 \]

27141 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors36960
Euler totient φ(n)17712
Square736633881
Cube19992980164221
Square root164.745258
Digit sum / digital root15 / 6
Collatz steps to 190
Scientific notation2.7141 × 10410^{4}

27141 in other forms

FormValue
In wordstwenty-seven thousand one hundred and forty-one
Binary (base 2)110101000000101
Octal (base 8)65005
Hexadecimal (base 16)6A05
Base 31101020020
As time27141 seconds = 7 h 32 min 21 s

Is 27141 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 (27141 ÷ 3 = 9047)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)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 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 27141 a prime number?

No. 27141 = 3 × 83 × 109, so it is divisible by 3.

What are the factors of 27141?

1, 3, 83, 109, 249, 327, 9047, 27141.

What is 27141 in binary?

110101000000101 (hexadecimal 6A05, octal 65005).

What is the square root of 27141?

About 164.7453.

Is 27141 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 27141?

It is a composite number with 8 divisors.

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    27141: is it prime? Factors, square root, binary, Roman numeral | WordGPT