The number 37339
37339 is a twin prime (37337 and 37339 are both prime) and the 3954th prime number. Its only divisors are 1 and 37339.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37339: a twin prime (37337 and 37339 are both prime); the 3954th prime number.
- 2
37339 is prime, so its only factors are 1 and 37339. It is the 3954th prime; the next prime is 37357 and the one before is 37337.
- 3
The divisors add up to 37340; without 37339 itself that is 1, so 37339 is deficient (1 is less than 37339). Euler's totient φ(37339) = 37338 numbers up to 37339 share no factor with it.
- 4
The digits of 37339 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 137 steps to reach 1.
37339 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37340 |
| Euler totient φ(n) | 37338 |
| Square | 1394200921 |
| Cube | 52058068189219 |
| Square root | 193.233020 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.7339 × |
37339 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand three hundred and thirty-nine |
| Binary (base 2) | 1001000111011011 |
| Octal (base 8) | 110733 |
| Hexadecimal (base 16) | 91DB |
| Base 3 | 1220012221 |
| As time | 37339 seconds = 10 h 22 min 19 s |
Is 37339 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 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 3) | 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 5) | 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 37339 a prime number?
Yes. 37339 is divisible only by 1 and itself.
What are the factors of 37339?
1, 37339.
What is 37339 in binary?
1001000111011011 (hexadecimal 91DB, octal 110733).
What is the square root of 37339?
About 193.2330.
Is 37339 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 37339?
37339 is a twin prime (37337 and 37339 are both prime); the 3954th prime number.