The number 16033
16033 is the 1865th prime number. Its only divisors are 1 and 16033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16033: the 1865th prime number.
- 2
16033 is prime, so its only factors are 1 and 16033. It is the 1865th prime; the next prime is 16057 and the one before is 16007.
- 3
The divisors add up to 16034; without 16033 itself that is 1, so 16033 is deficient (1 is less than 16033). Euler's totient φ(16033) = 16032 numbers up to 16033 share no factor with it.
- 4
The digits of 16033 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
16033 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16034 |
| Euler totient φ(n) | 16032 |
| Square | 257057089 |
| Cube | 4121396307937 |
| Square root | 126.621483 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.6033 × |
16033 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and thirty-three |
| Binary (base 2) | 11111010100001 |
| Octal (base 8) | 37241 |
| Hexadecimal (base 16) | 3EA1 |
| Base 3 | 210222211 |
| As time | 16033 seconds = 4 h 27 min 13 s |
Is 16033 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 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 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 16033 a prime number?
Yes. 16033 is divisible only by 1 and itself.
What are the factors of 16033?
1, 16033.
What is 16033 in binary?
11111010100001 (hexadecimal 3EA1, octal 37241).
What is the square root of 16033?
About 126.6215.
Is 16033 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 16033?
16033 is the 1865th prime number.