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The number 27097

27097 is a composite number with 8 divisors. Its prime factorisation is 737^{3} Ɨ 79. Divisors (8): 1, 7, 49, 79, 343, 553, 3871, 27097.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    27097 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

    27097 is composite. Its prime factorisation is

    27097=73Ɨ7927097 = 7^{3} \times 79
  3. 3

    The divisors add up to 32000; without 27097 itself that is 4903, so 27097 is deficient (4903 is less than 27097). Euler's totient φ(27097) = 22932 numbers up to 27097 share no factor with it.

  4. 4

    The digits of 27097 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.

LaTeX source of the formulas on this page
\[ 27097 = 7^{3} \times 79 \]

27097 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors32000
Euler totient φ(n)22932
Square734247409
Cube19895902041673
Square root164.611664 (= 7√553)
Digit sum / digital root25 / 7
Collatz steps to 146
Scientific notation2.7097 Ɨ 10410^{4}

27097 in other forms

FormValue
In wordstwenty-seven thousand and ninety-seven
Binary (base 2)110100111011001
Octal (base 8)64731
Hexadecimal (base 16)69D9
Base 31101011121
As time27097 seconds = 7 h 31 min 37 s

Is 27097 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 1)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (27097 Ć· 7 = 3871)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 27097 a prime number?

No. 27097 = 737^{3} Ɨ 79, so it is divisible by 7.

What are the factors of 27097?

1, 7, 49, 79, 343, 553, 3871, 27097.

What is 27097 in binary?

110100111011001 (hexadecimal 69D9, octal 64731).

What is the square root of 27097?

About 164.6117, exactly 7√553.

Is 27097 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 27097?

It is a composite number with 8 divisors.

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    27097: is it prime? Factors, square root, binary, Roman numeral | WordGPT