The number 33073
33073 is a twin prime (33071 and 33073 are both prime) and the 3546th prime number. Its only divisors are 1 and 33073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33073: a twin prime (33071 and 33073 are both prime); the 3546th prime number.
- 2
33073 is prime, so its only factors are 1 and 33073. It is the 3546th prime; the next prime is 33083 and the one before is 33071.
- 3
The divisors add up to 33074; without 33073 itself that is 1, so 33073 is deficient (1 is less than 33073). Euler's totient φ(33073) = 33072 numbers up to 33073 share no factor with it.
- 4
The digits of 33073 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
33073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33074 |
| Euler totient φ(n) | 33072 |
| Square | 1093823329 |
| Cube | 36176018960017 |
| Square root | 181.859836 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3073 × |
33073 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and seventy-three |
| Binary (base 2) | 1000000100110001 |
| Octal (base 8) | 100461 |
| Hexadecimal (base 16) | 8131 |
| Base 3 | 1200100221 |
| As time | 33073 seconds = 9 h 11 min 13 s |
Is 33073 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 7) | 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 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 33073 a prime number?
Yes. 33073 is divisible only by 1 and itself.
What are the factors of 33073?
1, 33073.
What is 33073 in binary?
1000000100110001 (hexadecimal 8131, octal 100461).
What is the square root of 33073?
About 181.8598.
Is 33073 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33073?
33073 is a twin prime (33071 and 33073 are both prime); the 3546th prime number.