The number 8049
8049 is a composite number with 4 divisors. Its prime factorisation is 3 × 2683. Divisors (4): 1, 3, 2683, 8049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8049: a semiprime: 3 × 2683, the product of two primes.
- 2
8049 is composite. Its prime factorisation is
- 3
The divisors add up to 10736; without 8049 itself that is 2687, so 8049 is deficient (2687 is less than 8049). Euler's totient φ(8049) = 5364 numbers up to 8049 share no factor with it.
- 4
The digits of 8049 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8049 = 3 \times 2683 \]
8049 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10736 |
| Euler totient φ(n) | 5364 |
| Square | 64786401 |
| Cube | 521465741649 |
| Square root | 89.716219 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 70 |
| Scientific notation | 8.049 × |
8049 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and forty-nine |
| Binary (base 2) | 1111101110001 |
| Octal (base 8) | 17561 |
| Hexadecimal (base 16) | 1F71 |
| Base 3 | 102001010 |
| As time | 8049 seconds = 2 h 14 min 9 s |
Is 8049 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 (8049 ÷ 3 = 2683) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 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. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8049 a prime number?
No. 8049 = 3 × 2683, so it is divisible by 3.
What are the factors of 8049?
1, 3, 2683, 8049.
What is 8049 in binary?
1111101110001 (hexadecimal 1F71, octal 17561).
What is the square root of 8049?
About 89.7162.
Is 8049 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 8049?
8049 is a semiprime: 3 × 2683, the product of two primes.