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The number 27292

27292 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 6823. Divisors (6): 1, 2, 4, 6823, 13646, 27292.

Number

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How to work it out

  1. 1

    27292 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

    27292 is composite. Its prime factorisation is

    27292=22×682327292 = 2^{2} \times 6823
  3. 3

    The divisors add up to 47768; without 27292 itself that is 20476, so 27292 is deficient (20476 is less than 27292). Euler's totient φ(27292) = 13644 numbers up to 27292 share no factor with it.

  4. 4

    The digits of 27292 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27292 = 2^{2} \times 6823 \]

27292 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors47768
Euler totient φ(n)13644
Square744853264
Cube20328535281088
Square root165.202906 (= 2√6823)
Digit sum / digital root22 / 4
Collatz steps to 1121
Scientific notation2.7292 × 10410^{4}

27292 in other forms

FormValue
In wordstwenty-seven thousand two hundred and ninety-two
Binary (base 2)110101010011100
Octal (base 8)65234
Hexadecimal (base 16)6A9C
Base 31101102211
As time27292 seconds = 7 h 34 min 52 s

Is 27292 divisible by 2 to 12?

DivisorAnswerRule
2Yes (27292 ÷ 2 = 13646)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 (27292 ÷ 4 = 6823)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)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 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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)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 27292 a prime number?

No. 27292 = 222^{2} × 6823, so it is divisible by 2.

What are the factors of 27292?

1, 2, 4, 6823, 13646, 27292.

What is 27292 in binary?

110101010011100 (hexadecimal 6A9C, octal 65234).

What is the square root of 27292?

About 165.2029, exactly 2√6823.

Is 27292 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 27292?

It is a composite number with 6 divisors.

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