The number 31249
31249 is a twin prime (31247 and 31249 are both prime) and the 3368th prime number. Its only divisors are 1 and 31249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31249: a twin prime (31247 and 31249 are both prime); the 3368th prime number.
- 2
31249 is prime, so its only factors are 1 and 31249. It is the 3368th prime; the next prime is 31253 and the one before is 31247.
- 3
The divisors add up to 31250; without 31249 itself that is 1, so 31249 is deficient (1 is less than 31249). Euler's totient φ(31249) = 31248 numbers up to 31249 share no factor with it.
- 4
The digits of 31249 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
31249 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31250 |
| Euler totient φ(n) | 31248 |
| Square | 976500001 |
| Cube | 30514648531249 |
| Square root | 176.773867 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1249 × |
31249 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and forty-nine |
| Binary (base 2) | 111101000010001 |
| Octal (base 8) | 75021 |
| Hexadecimal (base 16) | 7A11 |
| Base 3 | 1120212101 |
| As time | 31249 seconds = 8 h 40 min 49 s |
Is 31249 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31249 a prime number?
Yes. 31249 is divisible only by 1 and itself.
What are the factors of 31249?
1, 31249.
What is 31249 in binary?
111101000010001 (hexadecimal 7A11, octal 75021).
What is the square root of 31249?
About 176.7739.
Is 31249 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 31249?
31249 is a twin prime (31247 and 31249 are both prime); the 3368th prime number.