The number 31139
31139 is the 3353rd prime number. Its only divisors are 1 and 31139.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31139: the 3353rd prime number.
- 2
31139 is prime, so its only factors are 1 and 31139. It is the 3353rd prime; the next prime is 31147 and the one before is 31123.
- 3
The divisors add up to 31140; without 31139 itself that is 1, so 31139 is deficient (1 is less than 31139). Euler's totient φ(31139) = 31138 numbers up to 31139 share no factor with it.
- 4
The digits of 31139 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 222 steps to reach 1.
31139 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31140 |
| Euler totient φ(n) | 31138 |
| Square | 969637321 |
| Cube | 30193536538619 |
| Square root | 176.462461 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 222 |
| Scientific notation | 3.1139 × |
31139 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and thirty-nine |
| Binary (base 2) | 111100110100011 |
| Octal (base 8) | 74643 |
| Hexadecimal (base 16) | 79A3 |
| Base 3 | 1120201022 |
| As time | 31139 seconds = 8 h 38 min 59 s |
Is 31139 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 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 3) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 31139 a prime number?
Yes. 31139 is divisible only by 1 and itself.
What are the factors of 31139?
1, 31139.
What is 31139 in binary?
111100110100011 (hexadecimal 79A3, octal 74643).
What is the square root of 31139?
About 176.4625.
Is 31139 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 31139?
31139 is the 3353rd prime number.