The number 18671
18671 is the 2132nd prime number. Its only divisors are 1 and 18671.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18671: the 2132nd prime number.
- 2
18671 is prime, so its only factors are 1 and 18671. It is the 2132nd prime; the next prime is 18679 and the one before is 18661.
- 3
The divisors add up to 18672; without 18671 itself that is 1, so 18671 is deficient (1 is less than 18671). Euler's totient φ(18671) = 18670 numbers up to 18671 share no factor with it.
- 4
The digits of 18671 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 185 steps to reach 1.
18671 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 18672 |
| Euler totient φ(n) | 18670 |
| Square | 348606241 |
| Cube | 6508827125711 |
| Square root | 136.641868 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 185 |
| Scientific notation | 1.8671 × |
18671 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand six hundred and seventy-one |
| Binary (base 2) | 100100011101111 |
| Octal (base 8) | 44357 |
| Hexadecimal (base 16) | 48EF |
| Base 3 | 221121112 |
| As time | 18671 seconds = 5 h 11 min 11 s |
Is 18671 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 1) | 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 2) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 18671 a prime number?
Yes. 18671 is divisible only by 1 and itself.
What are the factors of 18671?
1, 18671.
What is 18671 in binary?
100100011101111 (hexadecimal 48EF, octal 44357).
What is the square root of 18671?
About 136.6419.
Is 18671 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 18671?
18671 is the 2132nd prime number.