The number 33199
33199 is the 3558th prime number. Its only divisors are 1 and 33199.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33199: the 3558th prime number.
- 2
33199 is prime, so its only factors are 1 and 33199. It is the 3558th prime; the next prime is 33203 and the one before is 33191.
- 3
The divisors add up to 33200; without 33199 itself that is 1, so 33199 is deficient (1 is less than 33199). Euler's totient φ(33199) = 33198 numbers up to 33199 share no factor with it.
- 4
The digits of 33199 add up to 25, 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.
33199 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33200 |
| Euler totient φ(n) | 33198 |
| Square | 1102173601 |
| Cube | 36591061379599 |
| Square root | 182.205927 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3199 × |
33199 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and ninety-nine |
| Binary (base 2) | 1000000110101111 |
| Octal (base 8) | 100657 |
| Hexadecimal (base 16) | 81AF |
| Base 3 | 1200112121 |
| As time | 33199 seconds = 9 h 13 min 19 s |
Is 33199 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 4) | 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 7) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 33199 a prime number?
Yes. 33199 is divisible only by 1 and itself.
What are the factors of 33199?
1, 33199.
What is 33199 in binary?
1000000110101111 (hexadecimal 81AF, octal 100657).
What is the square root of 33199?
About 182.2059.
Is 33199 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 33199?
33199 is the 3558th prime number.