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The number 27131

27131 is a composite number with 4 divisors. Its prime factorisation is 13 × 2087. Divisors (4): 1, 13, 2087, 27131.

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How to work it out

  1. 1

    What is special about 27131: a semiprime: 13 × 2087, the product of two primes.

  2. 2

    27131 is composite. Its prime factorisation is

    27131=13×208727131 = 13 \times 2087
  3. 3

    The divisors add up to 29232; without 27131 itself that is 2101, so 27131 is deficient (2101 is less than 27131). Euler's totient φ(27131) = 25032 numbers up to 27131 share no factor with it.

  4. 4

    The digits of 27131 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27131 = 13 \times 2087 \]

27131 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors29232
Euler totient φ(n)25032
Square736091161
Cube19970889289091
Square root164.714905
Digit sum / digital root14 / 5
Collatz steps to 190
Scientific notation2.7131 × 10410^{4}

27131 in other forms

FormValue
In wordstwenty-seven thousand one hundred and thirty-one
Binary (base 2)110100111111011
Octal (base 8)64773
Hexadecimal (base 16)69FB
Base 31101012212
As time27131 seconds = 7 h 32 min 11 s

Is 27131 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 2)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 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 27131 a prime number?

No. 27131 = 13 × 2087, so it is divisible by 13.

What are the factors of 27131?

1, 13, 2087, 27131.

What is 27131 in binary?

110100111111011 (hexadecimal 69FB, octal 64773).

What is the square root of 27131?

About 164.7149.

Is 27131 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 27131?

27131 is a semiprime: 13 × 2087, the product of two primes.

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    27131: is it prime? Factors, square root, binary, Roman numeral | WordGPT