The number 30137
30137 is a twin prime (30137 and 30139 are both prime) and the 3260th prime number. Its only divisors are 1 and 30137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30137: a twin prime (30137 and 30139 are both prime); the 3260th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
30137 is prime, so its only factors are 1 and 30137. It is the 3260th prime; the next prime is 30139 and the one before is 30133.
- 3
The divisors add up to 30138; without 30137 itself that is 1, so 30137 is deficient (1 is less than 30137). Euler's totient φ(30137) = 30136 numbers up to 30137 share no factor with it.
- 4
The digits of 30137 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
30137 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 30138 |
| Euler totient φ(n) | 30136 |
| Square | 908238769 |
| Cube | 27371591781353 |
| Square root | 173.600115 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.0137 × |
30137 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand one hundred and thirty-seven |
| Binary (base 2) | 111010110111001 |
| Octal (base 8) | 72671 |
| Hexadecimal (base 16) | 75B9 |
| Base 3 | 1112100012 |
| As time | 30137 seconds = 8 h 22 min 17 s |
Is 30137 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 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 5) | 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 30137 a prime number?
Yes. 30137 is divisible only by 1 and itself.
What are the factors of 30137?
1, 30137.
What is 30137 in binary?
111010110111001 (hexadecimal 75B9, octal 72671).
What is the square root of 30137?
About 173.6001.
Is 30137 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 30137?
30137 is a twin prime (30137 and 30139 are both prime); the 3260th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.