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The number 11167

11167 is a composite number with 4 divisors. Its prime factorisation is 13 × 859. Divisors (4): 1, 13, 859, 11167.

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How to work it out

  1. 1

    What is special about 11167: a semiprime: 13 × 859, the product of two primes.

  2. 2

    11167 is composite. Its prime factorisation is

    11167=13×85911167 = 13 \times 859
  3. 3

    The divisors add up to 12040; without 11167 itself that is 873, so 11167 is deficient (873 is less than 11167). Euler's totient φ(11167) = 10296 numbers up to 11167 share no factor with it.

  4. 4

    The digits of 11167 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.

LaTeX source of the formulas on this page
\[ 11167 = 13 \times 859 \]

11167 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors12040
Euler totient φ(n)10296
Square124701889
Cube1392545994463
Square root105.674027
Digit sum / digital root16 / 7
Collatz steps to 168
Scientific notation1.1167 × 10410^{4}

11167 in other forms

FormValue
In wordseleven thousand one hundred and sixty-seven
Binary (base 2)10101110011111
Octal (base 8)25637
Hexadecimal (base 16)2B9F
Base 3120022121
As time11167 seconds = 3 h 6 min 7 s

Is 11167 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 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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 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 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 11167 a prime number?

No. 11167 = 13 × 859, so it is divisible by 13.

What are the factors of 11167?

1, 13, 859, 11167.

What is 11167 in binary?

10101110011111 (hexadecimal 2B9F, octal 25637).

What is the square root of 11167?

About 105.6740.

Is 11167 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 11167?

11167 is a semiprime: 13 × 859, the product of two primes.

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