The number 31039
31039 is the 3344th prime number. Its only divisors are 1 and 31039.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31039: the 3344th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31039 is prime, so its only factors are 1 and 31039. It is the 3344th prime; the next prime is 31051 and the one before is 31033.
- 3
The divisors add up to 31040; without 31039 itself that is 1, so 31039 is deficient (1 is less than 31039). Euler's totient φ(31039) = 31038 numbers up to 31039 share no factor with it.
- 4
The digits of 31039 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
31039 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31040 |
| Euler totient φ(n) | 31038 |
| Square | 963419521 |
| Cube | 29903578512319 |
| Square root | 176.178886 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 121 |
| Scientific notation | 3.1039 × |
31039 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and thirty-nine |
| Binary (base 2) | 111100100111111 |
| Octal (base 8) | 74477 |
| Hexadecimal (base 16) | 793F |
| Base 3 | 1120120121 |
| As time | 31039 seconds = 8 h 37 min 19 s |
Is 31039 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31039 a prime number?
Yes. 31039 is divisible only by 1 and itself.
What are the factors of 31039?
1, 31039.
What is 31039 in binary?
111100100111111 (hexadecimal 793F, octal 74477).
What is the square root of 31039?
About 176.1789.
Is 31039 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 31039?
31039 is the 3344th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.