The number 18049
18049 is a twin prime (18047 and 18049 are both prime) and the 2069th prime number. Its only divisors are 1 and 18049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18049: a twin prime (18047 and 18049 are both prime); the 2069th prime number.
- 2
18049 is prime, so its only factors are 1 and 18049. It is the 2069th prime; the next prime is 18059 and the one before is 18047.
- 3
The divisors add up to 18050; without 18049 itself that is 1, so 18049 is deficient (1 is less than 18049). Euler's totient φ(18049) = 18048 numbers up to 18049 share no factor with it.
- 4
The digits of 18049 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
18049 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 18050 |
| Euler totient φ(n) | 18048 |
| Square | 325766401 |
| Cube | 5879757771649 |
| Square root | 134.346567 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.8049 × |
18049 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and forty-nine |
| Binary (base 2) | 100011010000001 |
| Octal (base 8) | 43201 |
| Hexadecimal (base 16) | 4681 |
| Base 3 | 220202111 |
| As time | 18049 seconds = 5 h 0 min 49 s |
Is 18049 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18049 a prime number?
Yes. 18049 is divisible only by 1 and itself.
What are the factors of 18049?
1, 18049.
What is 18049 in binary?
100011010000001 (hexadecimal 4681, octal 43201).
What is the square root of 18049?
About 134.3466.
Is 18049 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 18049?
18049 is a twin prime (18047 and 18049 are both prime); the 2069th prime number.