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The number 14097

14097 is a composite number with 8 divisors. Its prime factorisation is 3 × 37 × 127. Divisors (8): 1, 3, 37, 111, 127, 381, 4699, 14097.

Number

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How to work it out

  1. 1

    14097 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

    14097 is composite. Its prime factorisation is

    14097=3×37×12714097 = 3 \times 37 \times 127
  3. 3

    The divisors add up to 19456; without 14097 itself that is 5359, so 14097 is deficient (5359 is less than 14097). Euler's totient φ(14097) = 9072 numbers up to 14097 share no factor with it.

  4. 4

    The digits of 14097 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14097 = 3 \times 37 \times 127 \]

14097 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors19456
Euler totient φ(n)9072
Square198725409
Cube2801432090673
Square root118.730788
Digit sum / digital root21 / 3
Collatz steps to 1107
Scientific notation1.4097 × 10410^{4}

14097 in other forms

FormValue
In wordsfourteen thousand and ninety-seven
Binary (base 2)11011100010001
Octal (base 8)33421
Hexadecimal (base 16)3711
Base 3201100010
As time14097 seconds = 3 h 54 min 57 s

Is 14097 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 (14097 ÷ 3 = 4699)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 3)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)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 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14097 a prime number?

No. 14097 = 3 × 37 × 127, so it is divisible by 3.

What are the factors of 14097?

1, 3, 37, 111, 127, 381, 4699, 14097.

What is 14097 in binary?

11011100010001 (hexadecimal 3711, octal 33421).

What is the square root of 14097?

About 118.7308.

Is 14097 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 14097?

It is a composite number with 8 divisors.

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    14097: is it prime? Factors, square root, binary, Roman numeral | WordGPT