The number 33091
33091 is the 3548th prime number. Its only divisors are 1 and 33091.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33091: the 3548th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33091 is prime, so its only factors are 1 and 33091. It is the 3548th prime; the next prime is 33107 and the one before is 33083.
- 3
The divisors add up to 33092; without 33091 itself that is 1, so 33091 is deficient (1 is less than 33091). Euler's totient φ(33091) = 33090 numbers up to 33091 share no factor with it.
- 4
The digits of 33091 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 98 steps to reach 1.
33091 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33092 |
| Euler totient φ(n) | 33090 |
| Square | 1095014281 |
| Cube | 36235117572571 |
| Square root | 181.909318 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3091 × |
33091 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and ninety-one |
| Binary (base 2) | 1000000101000011 |
| Octal (base 8) | 100503 |
| Hexadecimal (base 16) | 8143 |
| Base 3 | 1200101121 |
| As time | 33091 seconds = 9 h 11 min 31 s |
Is 33091 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 2) | 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 3) | 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 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33091 a prime number?
Yes. 33091 is divisible only by 1 and itself.
What are the factors of 33091?
1, 33091.
What is 33091 in binary?
1000000101000011 (hexadecimal 8143, octal 100503).
What is the square root of 33091?
About 181.9093.
Is 33091 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33091?
33091 is the 3548th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.