The number 37361
37361 is a twin prime (37361 and 37363 are both prime) and the 3956th prime number. Its only divisors are 1 and 37361.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37361: a twin prime (37361 and 37363 are both prime); the 3956th prime number.
- 2
37361 is prime, so its only factors are 1 and 37361. It is the 3956th prime; the next prime is 37363 and the one before is 37357.
- 3
The divisors add up to 37362; without 37361 itself that is 1, so 37361 is deficient (1 is less than 37361). Euler's totient φ(37361) = 37360 numbers up to 37361 share no factor with it.
- 4
The digits of 37361 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
37361 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37362 |
| Euler totient φ(n) | 37360 |
| Square | 1395844321 |
| Cube | 52150139676881 |
| Square root | 193.289938 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.7361 × |
37361 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand three hundred and sixty-one |
| Binary (base 2) | 1001000111110001 |
| Octal (base 8) | 110761 |
| Hexadecimal (base 16) | 91F1 |
| Base 3 | 1220020202 |
| As time | 37361 seconds = 10 h 22 min 41 s |
Is 37361 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 1) | 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 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 37361 a prime number?
Yes. 37361 is divisible only by 1 and itself.
What are the factors of 37361?
1, 37361.
What is 37361 in binary?
1001000111110001 (hexadecimal 91F1, octal 110761).
What is the square root of 37361?
About 193.2899.
Is 37361 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 37361?
37361 is a twin prime (37361 and 37363 are both prime); the 3956th prime number.