The number 18701
18701 is the 2135th prime number. Its only divisors are 1 and 18701.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18701: the 2135th prime number.
- 2
18701 is prime, so its only factors are 1 and 18701. It is the 2135th prime; the next prime is 18713 and the one before is 18691.
- 3
The divisors add up to 18702; without 18701 itself that is 1, so 18701 is deficient (1 is less than 18701). Euler's totient φ(18701) = 18700 numbers up to 18701 share no factor with it.
- 4
The digits of 18701 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 61 steps to reach 1.
18701 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 18702 |
| Euler totient φ(n) | 18700 |
| Square | 349727401 |
| Cube | 6540252126101 |
| Square root | 136.751600 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 61 |
| Scientific notation | 1.8701 × |
18701 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand seven hundred and one |
| Binary (base 2) | 100100100001101 |
| Octal (base 8) | 44415 |
| Hexadecimal (base 16) | 490D |
| Base 3 | 221122122 |
| As time | 18701 seconds = 5 h 11 min 41 s |
Is 18701 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 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 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 8) | 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 1) | 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 18701 a prime number?
Yes. 18701 is divisible only by 1 and itself.
What are the factors of 18701?
1, 18701.
What is 18701 in binary?
100100100001101 (hexadecimal 490D, octal 44415).
What is the square root of 18701?
About 136.7516.
Is 18701 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 18701?
18701 is the 2135th prime number.