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The number 3189

3189 is a composite number with 4 divisors. Its prime factorisation is 3 × 1063. Divisors (4): 1, 3, 1063, 3189.

Number

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How to work it out

  1. 1

    What is special about 3189: a semiprime: 3 × 1063, the product of two primes.

  2. 2

    3189 is composite. Its prime factorisation is

    3189=3×10633189 = 3 \times 1063
  3. 3

    The divisors add up to 4256; without 3189 itself that is 1067, so 3189 is deficient (1067 is less than 3189). Euler's totient φ(3189) = 2124 numbers up to 3189 share no factor with it.

  4. 4

    The digits of 3189 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.

LaTeX source of the formulas on this page
\[ 3189 = 3 \times 1063 \]

3189 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors4256
Euler totient φ(n)2124
Square10169721
Cube32431240269
Square root56.471232
Digit sum / digital root21 / 3
Collatz steps to 1123
Scientific notation3.189 × 10310^{3}

3189 in other forms

FormValue
In wordsthree thousand one hundred and eighty-nine
Roman numeralsMMMCLXXXIX
Binary (base 2)110001110101
Octal (base 8)6165
Hexadecimal (base 16)C75
Base 311101010
As time3189 seconds = 53 min 9 s

Is 3189 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 (3189 ÷ 3 = 1063)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 3)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 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 3189 a prime number?

No. 3189 = 3 × 1063, so it is divisible by 3.

What are the factors of 3189?

1, 3, 1063, 3189.

What is 3189 in binary?

110001110101 (hexadecimal C75, octal 6165).

What is the square root of 3189?

About 56.4712.

What is 3189 in Roman numerals?

MMMCLXXXIX.

Is 3189 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 3189?

3189 is a semiprime: 3 × 1063, the product of two primes.

All about 3189

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    3189: is it prime? Factors, square root, binary, Roman numeral | WordGPT