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The number 9136

9136 is a composite number with 10 divisors. Its prime factorisation is 242^{4} × 571. Divisors (10): 1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136.

Number

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How to work it out

  1. 1

    9136 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

    9136 is composite. Its prime factorisation is

    9136=24×5719136 = 2^{4} \times 571
  3. 3

    The divisors add up to 17732; without 9136 itself that is 8596, so 9136 is deficient (8596 is less than 9136). Euler's totient φ(9136) = 4560 numbers up to 9136 share no factor with it.

  4. 4

    The digits of 9136 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.

LaTeX source of the formulas on this page
\[ 9136 = 2^{4} \times 571 \]

9136 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors17732
Euler totient φ(n)4560
Square83466496
Cube762549907456
Square root95.582425 (= 4√571)
Digit sum / digital root19 / 1
Collatz steps to 134
Scientific notation9.136 × 10310^{3}

9136 in other forms

FormValue
In wordsnine thousand one hundred and thirty-six
Binary (base 2)10001110110000
Octal (base 8)21660
Hexadecimal (base 16)23B0
Base 3110112101
As time9136 seconds = 2 h 32 min 16 s

Is 9136 divisible by 2 to 12?

DivisorAnswerRule
2Yes (9136 ÷ 2 = 4568)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 (9136 ÷ 4 = 2284)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)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 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.
8Yes (9136 ÷ 8 = 1142)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 9136 a prime number?

No. 9136 = 242^{4} × 571, so it is divisible by 2.

What are the factors of 9136?

1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136.

What is 9136 in binary?

10001110110000 (hexadecimal 23B0, octal 21660).

What is the square root of 9136?

About 95.5824, exactly 4√571.

Is 9136 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 9136?

It is a composite number with 10 divisors.

All about 9136

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