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The number 27231

27231 is a composite number with 8 divisors. Its prime factorisation is 3 × 29 × 313. Divisors (8): 1, 3, 29, 87, 313, 939, 9077, 27231.

Number

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How to work it out

  1. 1

    27231 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

    27231 is composite. Its prime factorisation is

    27231=3×29×31327231 = 3 \times 29 \times 313
  3. 3

    The divisors add up to 37680; without 27231 itself that is 10449, so 27231 is deficient (10449 is less than 27231). Euler's totient φ(27231) = 17472 numbers up to 27231 share no factor with it.

  4. 4

    The digits of 27231 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
\[ 27231 = 3 \times 29 \times 313 \]

27231 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors37680
Euler totient φ(n)17472
Square741527361
Cube20192531567391
Square root165.018181
Digit sum / digital root15 / 6
Collatz steps to 190
Scientific notation2.7231 × 10410^{4}

27231 in other forms

FormValue
In wordstwenty-seven thousand two hundred and thirty-one
Binary (base 2)110101001011111
Octal (base 8)65137
Hexadecimal (base 16)6A5F
Base 31101100120
As time27231 seconds = 7 h 33 min 51 s

Is 27231 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 (27231 ÷ 3 = 9077)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 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 6)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 27231 a prime number?

No. 27231 = 3 × 29 × 313, so it is divisible by 3.

What are the factors of 27231?

1, 3, 29, 87, 313, 939, 9077, 27231.

What is 27231 in binary?

110101001011111 (hexadecimal 6A5F, octal 65137).

What is the square root of 27231?

About 165.0182.

Is 27231 divisible by 3?

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

What is special about the number 27231?

It is a composite number with 8 divisors.

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    27231: is it prime? Factors, square root, binary, Roman numeral | WordGPT