The number 8019
8019 is a composite number with 14 divisors. Its prime factorisation is × 11. Divisors (14): 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 729, 891, 2673, 8019.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8019 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8019 is composite. Its prime factorisation is
- 3
The divisors add up to 13116; without 8019 itself that is 5097, so 8019 is deficient (5097 is less than 8019). Euler's totient φ(8019) = 4860 numbers up to 8019 share no factor with it.
- 4
The digits of 8019 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8019 = 3^{6} \times 11 \]8019 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 13116 |
| Euler totient φ(n) | 4860 |
| Square | 64304361 |
| Cube | 515656670859 |
| Square root | 89.548869 (= 27√11) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 158 |
| Scientific notation | 8.019 × |
8019 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and nineteen |
| Binary (base 2) | 1111101010011 |
| Octal (base 8) | 17523 |
| Hexadecimal (base 16) | 1F53 |
| Base 3 | 102000000 |
| As time | 8019 seconds = 2 h 13 min 39 s |
Is 8019 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8019 ÷ 3 = 2673) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (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. |
| 8 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (8019 ÷ 9 = 891) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (8019 ÷ 11 = 729) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8019 a prime number?
No. 8019 = × 11, so it is divisible by 3.
What are the factors of 8019?
1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 729, 891, 2673, 8019.
What is 8019 in binary?
1111101010011 (hexadecimal 1F53, octal 17523).
What is the square root of 8019?
About 89.5489, exactly 27√11.
Is 8019 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 8019?
It is a composite number with 14 divisors.