The number 33773
33773 is the 3618th prime number. Its only divisors are 1 and 33773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33773: the 3618th prime number.
- 2
33773 is prime, so its only factors are 1 and 33773. It is the 3618th prime; the next prime is 33791 and the one before is 33769.
- 3
The divisors add up to 33774; without 33773 itself that is 1, so 33773 is deficient (1 is less than 33773). Euler's totient φ(33773) = 33772 numbers up to 33773 share no factor with it.
- 4
The digits of 33773 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
33773 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33774 |
| Euler totient φ(n) | 33772 |
| Square | 1140615529 |
| Cube | 38522008260917 |
| Square root | 183.774318 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3773 × |
33773 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and seventy-three |
| Binary (base 2) | 1000001111101101 |
| Octal (base 8) | 101755 |
| Hexadecimal (base 16) | 83ED |
| Base 3 | 1201022212 |
| As time | 33773 seconds = 9 h 22 min 53 s |
Is 33773 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 2) | 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33773 a prime number?
Yes. 33773 is divisible only by 1 and itself.
What are the factors of 33773?
1, 33773.
What is 33773 in binary?
1000001111101101 (hexadecimal 83ED, octal 101755).
What is the square root of 33773?
About 183.7743.
Is 33773 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 33773?
33773 is the 3618th prime number.