The number 37199
37199 is a twin prime (37199 and 37201 are both prime) and the 3941st prime number. Its only divisors are 1 and 37199.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37199: a twin prime (37199 and 37201 are both prime); the 3941st prime number.
- 2
37199 is prime, so its only factors are 1 and 37199. It is the 3941st prime; the next prime is 37201 and the one before is 37189.
- 3
The divisors add up to 37200; without 37199 itself that is 1, so 37199 is deficient (1 is less than 37199). Euler's totient φ(37199) = 37198 numbers up to 37199 share no factor with it.
- 4
The digits of 37199 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 261 steps to reach 1.
37199 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37200 |
| Euler totient φ(n) | 37198 |
| Square | 1383765601 |
| Cube | 51474696591599 |
| Square root | 192.870423 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 261 |
| Scientific notation | 3.7199 × |
37199 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and ninety-nine |
| Binary (base 2) | 1001000101001111 |
| Octal (base 8) | 110517 |
| Hexadecimal (base 16) | 914F |
| Base 3 | 1220000202 |
| As time | 37199 seconds = 10 h 19 min 59 s |
Is 37199 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 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37199 a prime number?
Yes. 37199 is divisible only by 1 and itself.
What are the factors of 37199?
1, 37199.
What is 37199 in binary?
1001000101001111 (hexadecimal 914F, octal 110517).
What is the square root of 37199?
About 192.8704.
Is 37199 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 37199?
37199 is a twin prime (37199 and 37201 are both prime); the 3941st prime number.