The number 37313
37313 is the 3951st prime number. Its only divisors are 1 and 37313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37313: the 3951st prime number.
- 2
37313 is prime, so its only factors are 1 and 37313. It is the 3951st prime; the next prime is 37321 and the one before is 37309.
- 3
The divisors add up to 37314; without 37313 itself that is 1, so 37313 is deficient (1 is less than 37313). Euler's totient φ(37313) = 37312 numbers up to 37313 share no factor with it.
- 4
The digits of 37313 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
37313 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37314 |
| Euler totient φ(n) | 37312 |
| Square | 1392259969 |
| Cube | 51949396223297 |
| Square root | 193.165732 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7313 × |
37313 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand three hundred and thirteen |
| Binary (base 2) | 1001000111000001 |
| Octal (base 8) | 110701 |
| Hexadecimal (base 16) | 91C1 |
| Base 3 | 1220011222 |
| As time | 37313 seconds = 10 h 21 min 53 s |
Is 37313 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37313 a prime number?
Yes. 37313 is divisible only by 1 and itself.
What are the factors of 37313?
1, 37313.
What is 37313 in binary?
1001000111000001 (hexadecimal 91C1, octal 110701).
What is the square root of 37313?
About 193.1657.
Is 37313 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 37313?
37313 is the 3951st prime number.