The number 67033
67033 is the 6678th prime number. Its only divisors are 1 and 67033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67033: the 6678th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67033 is prime, so its only factors are 1 and 67033. It is the 6678th prime; the next prime is 67043 and the one before is 67021.
- 3
The divisors add up to 67034; without 67033 itself that is 1, so 67033 is deficient (1 is less than 67033). Euler's totient φ(67033) = 67032 numbers up to 67033 share no factor with it.
- 4
The digits of 67033 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 161 steps to reach 1.
67033 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67034 |
| Euler totient φ(n) | 67032 |
| Square | 4493423089 |
| Cube | 301207629924937 |
| Square root | 258.907319 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7033 × |
67033 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and thirty-three |
| Binary (base 2) | 10000010111011001 |
| Octal (base 8) | 202731 |
| Hexadecimal (base 16) | 105D9 |
| Base 3 | 10101221201 |
| As time | 67033 seconds = 18 h 37 min 13 s |
Is 67033 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 1) | 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 10) | 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 67033 a prime number?
Yes. 67033 is divisible only by 1 and itself.
What are the factors of 67033?
1, 67033.
What is 67033 in binary?
10000010111011001 (hexadecimal 105D9, octal 202731).
What is the square root of 67033?
About 258.9073.
Is 67033 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 67033?
67033 is the 6678th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.