The number 31189
31189 is the 3361st prime number. Its only divisors are 1 and 31189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31189: the 3361st prime number.
- 2
31189 is prime, so its only factors are 1 and 31189. It is the 3361st prime; the next prime is 31193 and the one before is 31183.
- 3
The divisors add up to 31190; without 31189 itself that is 1, so 31189 is deficient (1 is less than 31189). Euler's totient φ(31189) = 31188 numbers up to 31189 share no factor with it.
- 4
The digits of 31189 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
31189 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31190 |
| Euler totient φ(n) | 31188 |
| Square | 972753721 |
| Cube | 30339215804269 |
| Square root | 176.604077 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1189 × |
31189 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand one hundred and eighty-nine |
| Binary (base 2) | 111100111010101 |
| Octal (base 8) | 74725 |
| Hexadecimal (base 16) | 79D5 |
| Base 3 | 1120210011 |
| As time | 31189 seconds = 8 h 39 min 49 s |
Is 31189 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 1) | 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 4) | 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 4) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31189 a prime number?
Yes. 31189 is divisible only by 1 and itself.
What are the factors of 31189?
1, 31189.
What is 31189 in binary?
111100111010101 (hexadecimal 79D5, octal 74725).
What is the square root of 31189?
About 176.6041.
Is 31189 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 31189?
31189 is the 3361st prime number.