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The number 10189

10189 is a composite number with 4 divisors. Its prime factorisation is 23 × 443. Divisors (4): 1, 23, 443, 10189.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 10189: a semiprime: 23 × 443, the product of two primes.

  2. 2

    10189 is composite. Its prime factorisation is

    10189=23×44310189 = 23 \times 443
  3. 3

    The divisors add up to 10656; without 10189 itself that is 467, so 10189 is deficient (467 is less than 10189). Euler's totient φ(10189) = 9724 numbers up to 10189 share no factor with it.

  4. 4

    The digits of 10189 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
\[ 10189 = 23 \times 443 \]

10189 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors10656
Euler totient φ(n)9724
Square103815721
Cube1057778381269
Square root100.940577
Digit sum / digital root19 / 1
Collatz steps to 134
Scientific notation1.0189 × 10410^{4}

10189 in other forms

FormValue
In wordsten thousand one hundred and eighty-nine
Binary (base 2)10011111001101
Octal (base 8)23715
Hexadecimal (base 16)27CD
Base 3111222101
As time10189 seconds = 2 h 49 min 49 s

Is 10189 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 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 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 3)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 10189 a prime number?

No. 10189 = 23 × 443, so it is divisible by 23.

What are the factors of 10189?

1, 23, 443, 10189.

What is 10189 in binary?

10011111001101 (hexadecimal 27CD, octal 23715).

What is the square root of 10189?

About 100.9406.

Is 10189 divisible by 3?

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

What is special about the number 10189?

10189 is a semiprime: 23 × 443, the product of two primes.

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