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The number 27293

27293 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 557. Divisors (6): 1, 7, 49, 557, 3899, 27293.

Number

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How to work it out

  1. 1

    27293 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

    27293 is composite. Its prime factorisation is

    27293=72Ɨ55727293 = 7^{2} \times 557
  3. 3

    The divisors add up to 31806; without 27293 itself that is 4513, so 27293 is deficient (4513 is less than 27293). Euler's totient φ(27293) = 23352 numbers up to 27293 share no factor with it.

  4. 4

    The digits of 27293 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27293 = 7^{2} \times 557 \]

27293 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors31806
Euler totient φ(n)23352
Square744907849
Cube20330769922757
Square root165.205932 (= 7√557)
Digit sum / digital root23 / 5
Collatz steps to 1121
Scientific notation2.7293 Ɨ 10410^{4}

27293 in other forms

FormValue
In wordstwenty-seven thousand two hundred and ninety-three
Binary (base 2)110101010011101
Octal (base 8)65235
Hexadecimal (base 16)6A9D
Base 31101102212
As time27293 seconds = 7 h 34 min 53 s

Is 27293 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)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.
7Yes (27293 Ć· 7 = 3899)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 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 27293 a prime number?

No. 27293 = 727^{2} Ɨ 557, so it is divisible by 7.

What are the factors of 27293?

1, 7, 49, 557, 3899, 27293.

What is 27293 in binary?

110101010011101 (hexadecimal 6A9D, octal 65235).

What is the square root of 27293?

About 165.2059, exactly 7√557.

Is 27293 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 27293?

It is a composite number with 6 divisors.

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