The number 31873
31873 is the 3424th prime number. Its only divisors are 1 and 31873.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31873: the 3424th prime number.
- 2
31873 is prime, so its only factors are 1 and 31873. It is the 3424th prime; the next prime is 31883 and the one before is 31859.
- 3
The divisors add up to 31874; without 31873 itself that is 1, so 31873 is deficient (1 is less than 31873). Euler's totient φ(31873) = 31872 numbers up to 31873 share no factor with it.
- 4
The digits of 31873 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 222 steps to reach 1.
31873 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31874 |
| Euler totient φ(n) | 31872 |
| Square | 1015888129 |
| Cube | 32379402335617 |
| Square root | 178.530110 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 222 |
| Scientific notation | 3.1873 × |
31873 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand eight hundred and seventy-three |
| Binary (base 2) | 111110010000001 |
| Octal (base 8) | 76201 |
| Hexadecimal (base 16) | 7C81 |
| Base 3 | 1121201111 |
| As time | 31873 seconds = 8 h 51 min 13 s |
Is 31873 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 3) | 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 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 31873 a prime number?
Yes. 31873 is divisible only by 1 and itself.
What are the factors of 31873?
1, 31873.
What is 31873 in binary?
111110010000001 (hexadecimal 7C81, octal 76201).
What is the square root of 31873?
About 178.5301.
Is 31873 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 31873?
31873 is the 3424th prime number.