The number 31973
31973 is the 3430th prime number. Its only divisors are 1 and 31973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31973: the 3430th prime number.
- 2
31973 is prime, so its only factors are 1 and 31973. It is the 3430th prime; the next prime is 31981 and the one before is 31963.
- 3
The divisors add up to 31974; without 31973 itself that is 1, so 31973 is deficient (1 is less than 31973). Euler's totient φ(31973) = 31972 numbers up to 31973 share no factor with it.
- 4
The digits of 31973 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
31973 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31974 |
| Euler totient φ(n) | 31972 |
| Square | 1022272729 |
| Cube | 32685125964317 |
| Square root | 178.809955 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1973 × |
31973 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand nine hundred and seventy-three |
| Binary (base 2) | 111110011100101 |
| Octal (base 8) | 76345 |
| Hexadecimal (base 16) | 7CE5 |
| Base 3 | 1121212012 |
| As time | 31973 seconds = 8 h 52 min 53 s |
Is 31973 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 3) | 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 4) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 31973 a prime number?
Yes. 31973 is divisible only by 1 and itself.
What are the factors of 31973?
1, 31973.
What is 31973 in binary?
111110011100101 (hexadecimal 7CE5, octal 76345).
What is the square root of 31973?
About 178.8100.
Is 31973 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 31973?
31973 is the 3430th prime number.