The number 31379
31379 is the 3381st prime number. Its only divisors are 1 and 31379.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31379: the 3381st prime number.
- 2
31379 is prime, so its only factors are 1 and 31379. It is the 3381st prime; the next prime is 31387 and the one before is 31357.
- 3
The divisors add up to 31380; without 31379 itself that is 1, so 31379 is deficient (1 is less than 31379). Euler's totient φ(31379) = 31378 numbers up to 31379 share no factor with it.
- 4
The digits of 31379 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 147 steps to reach 1.
31379 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31380 |
| Euler totient φ(n) | 31378 |
| Square | 984641641 |
| Cube | 30897070052939 |
| Square root | 177.141187 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1379 × |
31379 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and seventy-nine |
| Binary (base 2) | 111101010010011 |
| Octal (base 8) | 75223 |
| Hexadecimal (base 16) | 7A93 |
| Base 3 | 1121001012 |
| As time | 31379 seconds = 8 h 42 min 59 s |
Is 31379 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 5) | 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 7) | 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 31379 a prime number?
Yes. 31379 is divisible only by 1 and itself.
What are the factors of 31379?
1, 31379.
What is 31379 in binary?
111101010010011 (hexadecimal 7A93, octal 75223).
What is the square root of 31379?
About 177.1412.
Is 31379 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 31379?
31379 is the 3381st prime number.