The number 49033
49033 is a twin prime (49031 and 49033 are both prime) and the 5040th prime number. Its only divisors are 1 and 49033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49033: a twin prime (49031 and 49033 are both prime); the 5040th prime number.
- 2
49033 is prime, so its only factors are 1 and 49033. It is the 5040th prime; the next prime is 49037 and the one before is 49031.
- 3
The divisors add up to 49034; without 49033 itself that is 1, so 49033 is deficient (1 is less than 49033). Euler's totient φ(49033) = 49032 numbers up to 49033 share no factor with it.
- 4
The digits of 49033 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 158 steps to reach 1.
49033 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49034 |
| Euler totient φ(n) | 49032 |
| Square | 2404235089 |
| Cube | 117886859118937 |
| Square root | 221.433963 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9033 × |
49033 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and thirty-three |
| Binary (base 2) | 1011111110001001 |
| Octal (base 8) | 137611 |
| Hexadecimal (base 16) | BF89 |
| Base 3 | 2111021001 |
| As time | 49033 seconds = 13 h 37 min 13 s |
Is 49033 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 3) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 49033 a prime number?
Yes. 49033 is divisible only by 1 and itself.
What are the factors of 49033?
1, 49033.
What is 49033 in binary?
1011111110001001 (hexadecimal BF89, octal 137611).
What is the square root of 49033?
About 221.4340.
Is 49033 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 49033?
49033 is a twin prime (49031 and 49033 are both prime); the 5040th prime number.