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The number 11163

11163 is a composite number with 6 divisors. Its prime factorisation is 3 Ɨ 61261^{2}. Divisors (6): 1, 3, 61, 183, 3721, 11163.

Number

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How to work it out

  1. 1

    11163 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

    11163 is composite. Its prime factorisation is

    11163=3Ɨ61211163 = 3 \times 61^{2}
  3. 3

    The divisors add up to 15132; without 11163 itself that is 3969, so 11163 is deficient (3969 is less than 11163). Euler's totient φ(11163) = 7320 numbers up to 11163 share no factor with it.

  4. 4

    The digits of 11163 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.

LaTeX source of the formulas on this page
\[ 11163 = 3 \times 61^{2} \]

11163 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors15132
Euler totient φ(n)7320
Square124612569
Cube1391050107747
Square root105.655099 (= 61√3)
Digit sum / digital root12 / 3
Collatz steps to 1112
Scientific notation1.1163 Ɨ 10410^{4}

11163 in other forms

FormValue
In wordseleven thousand one hundred and sixty-three
Binary (base 2)10101110011011
Octal (base 8)25633
Hexadecimal (base 16)2B9B
Base 3120022110
As time11163 seconds = 3 h 6 min 3 s

Is 11163 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 (11163 Ć· 3 = 3721)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 3)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 5)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 3)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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 11163 a prime number?

No. 11163 = 3 Ɨ 61261^{2}, so it is divisible by 3.

What are the factors of 11163?

1, 3, 61, 183, 3721, 11163.

What is 11163 in binary?

10101110011011 (hexadecimal 2B9B, octal 25633).

What is the square root of 11163?

About 105.6551, exactly 61√3.

Is 11163 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 11163?

It is a composite number with 6 divisors.

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