The number 37397
37397 is the 3960th prime number. Its only divisors are 1 and 37397.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37397: the 3960th prime number.
- 2
37397 is prime, so its only factors are 1 and 37397. It is the 3960th prime; the next prime is 37409 and the one before is 37379.
- 3
The divisors add up to 37398; without 37397 itself that is 1, so 37397 is deficient (1 is less than 37397). Euler's totient φ(37397) = 37396 numbers up to 37397 share no factor with it.
- 4
The digits of 37397 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 62 steps to reach 1.
37397 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37398 |
| Euler totient φ(n) | 37396 |
| Square | 1398535609 |
| Cube | 52301036169773 |
| Square root | 193.383040 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7397 × |
37397 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand three hundred and ninety-seven |
| Binary (base 2) | 1001001000010101 |
| Octal (base 8) | 111025 |
| Hexadecimal (base 16) | 9215 |
| Base 3 | 1220022002 |
| As time | 37397 seconds = 10 h 23 min 17 s |
Is 37397 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 2) | 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 3) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37397 a prime number?
Yes. 37397 is divisible only by 1 and itself.
What are the factors of 37397?
1, 37397.
What is 37397 in binary?
1001001000010101 (hexadecimal 9215, octal 111025).
What is the square root of 37397?
About 193.3830.
Is 37397 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 37397?
37397 is the 3960th prime number.