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The number 1189

1189 is a composite number with 4 divisors. Its prime factorisation is 29 × 41. Divisors (4): 1, 29, 41, 1189.

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How to work it out

  1. 1

    What is special about 1189: a semiprime: 29 × 41, the product of two primes.

  2. 2

    1189 is composite. Its prime factorisation is

    1189=29×411189 = 29 \times 41
  3. 3

    The divisors add up to 1260; without 1189 itself that is 71, so 1189 is deficient (71 is less than 1189). Euler's totient φ(1189) = 1120 numbers up to 1189 share no factor with it.

  4. 4

    The digits of 1189 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 75 steps to reach 1.

LaTeX source of the formulas on this page
\[ 1189 = 29 \times 41 \]

1189 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors1260
Euler totient φ(n)1120
Square1413721
Cube1680914269
Square root34.481879
Digit sum / digital root19 / 1
Collatz steps to 175
Scientific notation1.189 × 10310^{3}

1189 in other forms

FormValue
In wordsone thousand one hundred and eighty-nine
Roman numeralsMCLXXXIX
Binary (base 2)10010100101
Octal (base 8)2245
Hexadecimal (base 16)4A5
Base 31122001
As time1189 seconds = 19 min 49 s

Is 1189 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)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 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 5)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 9)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 1189 a prime number?

No. 1189 = 29 × 41, so it is divisible by 29.

What are the factors of 1189?

1, 29, 41, 1189.

What is 1189 in binary?

10010100101 (hexadecimal 4A5, octal 2245).

What is the square root of 1189?

About 34.4819.

What is 1189 in Roman numerals?

MCLXXXIX.

Is 1189 divisible by 3?

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

What is special about the number 1189?

1189 is a semiprime: 29 × 41, the product of two primes.

All about 1189

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    1189: is it prime? Factors, square root, binary, Roman numeral | WordGPT