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The number 9087

9087 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 233. Divisors (8): 1, 3, 13, 39, 233, 699, 3029, 9087.

Number

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How to work it out

  1. 1

    9087 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

    9087 is composite. Its prime factorisation is

    9087=3×13×2339087 = 3 \times 13 \times 233
  3. 3

    The divisors add up to 13104; without 9087 itself that is 4017, so 9087 is deficient (4017 is less than 9087). Euler's totient φ(9087) = 5568 numbers up to 9087 share no factor with it.

  4. 4

    The digits of 9087 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.

LaTeX source of the formulas on this page
\[ 9087 = 3 \times 13 \times 233 \]

9087 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors13104
Euler totient φ(n)5568
Square82573569
Cube750346021503
Square root95.325757
Digit sum / digital root24 / 6
Collatz steps to 1184
Scientific notation9.087 × 10310^{3}

9087 in other forms

FormValue
In wordsnine thousand and eighty-seven
Binary (base 2)10001101111111
Octal (base 8)21577
Hexadecimal (base 16)237F
Base 3110110120
As time9087 seconds = 2 h 31 min 27 s

Is 9087 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 (9087 ÷ 3 = 3029)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 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 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 7)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 9087 a prime number?

No. 9087 = 3 × 13 × 233, so it is divisible by 3.

What are the factors of 9087?

1, 3, 13, 39, 233, 699, 3029, 9087.

What is 9087 in binary?

10001101111111 (hexadecimal 237F, octal 21577).

What is the square root of 9087?

About 95.3258.

Is 9087 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 9087?

It is a composite number with 8 divisors.

All about 9087

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    9087: is it prime? Factors, square root, binary, Roman numeral | WordGPT