The number 31019
31019 is the 3342nd prime number. Its only divisors are 1 and 31019.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31019: the 3342nd prime number.
- 2
31019 is prime, so its only factors are 1 and 31019. It is the 3342nd prime; the next prime is 31033 and the one before is 31013.
- 3
The divisors add up to 31020; without 31019 itself that is 1, so 31019 is deficient (1 is less than 31019). Euler's totient φ(31019) = 31018 numbers up to 31019 share no factor with it.
- 4
The digits of 31019 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 147 steps to reach 1.
31019 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31020 |
| Euler totient φ(n) | 31018 |
| Square | 962178361 |
| Cube | 29845810579859 |
| Square root | 176.122117 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1019 × |
31019 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and nineteen |
| Binary (base 2) | 111100100101011 |
| Octal (base 8) | 74453 |
| Hexadecimal (base 16) | 792B |
| Base 3 | 1120112212 |
| As time | 31019 seconds = 8 h 36 min 59 s |
Is 31019 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 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 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 3) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31019 a prime number?
Yes. 31019 is divisible only by 1 and itself.
What are the factors of 31019?
1, 31019.
What is 31019 in binary?
111100100101011 (hexadecimal 792B, octal 74453).
What is the square root of 31019?
About 176.1221.
Is 31019 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 31019?
31019 is the 3342nd prime number.