The number 31219
31219 is the 3363rd prime number. Its only divisors are 1 and 31219.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31219: the 3363rd prime number.
- 2
31219 is prime, so its only factors are 1 and 31219. It is the 3363rd prime; the next prime is 31223 and the one before is 31193.
- 3
The divisors add up to 31220; without 31219 itself that is 1, so 31219 is deficient (1 is less than 31219). Euler's totient φ(31219) = 31218 numbers up to 31219 share no factor with it.
- 4
The digits of 31219 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
31219 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31220 |
| Euler totient φ(n) | 31218 |
| Square | 974625961 |
| Cube | 30426847876459 |
| Square root | 176.688992 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1219 × |
31219 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and nineteen |
| Binary (base 2) | 111100111110011 |
| Octal (base 8) | 74763 |
| Hexadecimal (base 16) | 79F3 |
| Base 3 | 1120211021 |
| As time | 31219 seconds = 8 h 40 min 19 s |
Is 31219 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 6) | 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 1) | 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 31219 a prime number?
Yes. 31219 is divisible only by 1 and itself.
What are the factors of 31219?
1, 31219.
What is 31219 in binary?
111100111110011 (hexadecimal 79F3, octal 74763).
What is the square root of 31219?
About 176.6890.
Is 31219 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 31219?
31219 is the 3363rd prime number.