The number 31013
31013 is a palindromic prime: it reads the same backwards and is prime, the 3341st prime number and a palindrome: it reads 31013 backwards too. Its only divisors are 1 and 31013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31013: a palindromic prime: it reads the same backwards and is prime; the 3341st prime number; a palindrome: it reads 31013 backwards too.
- 2
31013 is prime, so its only factors are 1 and 31013. It is the 3341st prime; the next prime is 31019 and the one before is 30983.
- 3
The divisors add up to 31014; without 31013 itself that is 1, so 31013 is deficient (1 is less than 31013). Euler's totient φ(31013) = 31012 numbers up to 31013 share no factor with it.
- 4
The digits of 31013 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
31013 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31014 |
| Euler totient φ(n) | 31012 |
| Square | 961806169 |
| Cube | 29828494719197 |
| Square root | 176.105082 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1013 × |
31013 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and thirteen |
| Binary (base 2) | 111100100100101 |
| Octal (base 8) | 74445 |
| Hexadecimal (base 16) | 7925 |
| Base 3 | 1120112122 |
| As time | 31013 seconds = 8 h 36 min 53 s |
Is 31013 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 3) | 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 8) | 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 4) | 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 31013 a prime number?
Yes. 31013 is divisible only by 1 and itself.
What are the factors of 31013?
1, 31013.
What is 31013 in binary?
111100100100101 (hexadecimal 7925, octal 74445).
What is the square root of 31013?
About 176.1051.
Is 31013 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 31013?
31013 is a palindromic prime: it reads the same backwards and is prime; the 3341st prime number; a palindrome: it reads 31013 backwards too.