The number 9049
9049 is the 1125th prime number. Its only divisors are 1 and 9049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9049: the 1125th prime number.
- 2
9049 is prime, so its only factors are 1 and 9049. It is the 1125th prime; the next prime is 9059 and the one before is 9043.
- 3
The divisors add up to 9050; without 9049 itself that is 1, so 9049 is deficient (1 is less than 9049). Euler's totient φ(9049) = 9048 numbers up to 9049 share no factor with it.
- 4
The digits of 9049 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 47 steps to reach 1.
9049 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9050 |
| Euler totient φ(n) | 9048 |
| Square | 81884401 |
| Cube | 740971944649 |
| Square root | 95.126232 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.049 × |
9049 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and forty-nine |
| Binary (base 2) | 10001101011001 |
| Octal (base 8) | 21531 |
| Hexadecimal (base 16) | 2359 |
| Base 3 | 110102011 |
| As time | 9049 seconds = 2 h 30 min 49 s |
Is 9049 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 5) | 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 7) | 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 9049 a prime number?
Yes. 9049 is divisible only by 1 and itself.
What are the factors of 9049?
1, 9049.
What is 9049 in binary?
10001101011001 (hexadecimal 2359, octal 21531).
What is the square root of 9049?
About 95.1262.
Is 9049 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 9049?
9049 is the 1125th prime number.