The number 31079
31079 is a twin prime (31079 and 31081 are both prime) and the 3348th prime number. Its only divisors are 1 and 31079.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31079: a twin prime (31079 and 31081 are both prime); the 3348th prime number.
- 2
31079 is prime, so its only factors are 1 and 31079. It is the 3348th prime; the next prime is 31081 and the one before is 31069.
- 3
The divisors add up to 31080; without 31079 itself that is 1, so 31079 is deficient (1 is less than 31079). Euler's totient φ(31079) = 31078 numbers up to 31079 share no factor with it.
- 4
The digits of 31079 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
31079 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31080 |
| Euler totient φ(n) | 31078 |
| Square | 965904241 |
| Cube | 30019337906039 |
| Square root | 176.292371 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.1079 × |
31079 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and seventy-nine |
| Binary (base 2) | 111100101100111 |
| Octal (base 8) | 74547 |
| Hexadecimal (base 16) | 7967 |
| Base 3 | 1120122002 |
| As time | 31079 seconds = 8 h 37 min 59 s |
Is 31079 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | 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 31079 a prime number?
Yes. 31079 is divisible only by 1 and itself.
What are the factors of 31079?
1, 31079.
What is 31079 in binary?
111100101100111 (hexadecimal 7967, octal 74547).
What is the square root of 31079?
About 176.2924.
Is 31079 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 31079?
31079 is a twin prime (31079 and 31081 are both prime); the 3348th prime number.