The number 18413
18413 is the 2109th prime number. Its only divisors are 1 and 18413.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18413: the 2109th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
18413 is prime, so its only factors are 1 and 18413. It is the 2109th prime; the next prime is 18427 and the one before is 18401.
- 3
The divisors add up to 18414; without 18413 itself that is 1, so 18413 is deficient (1 is less than 18413). Euler's totient φ(18413) = 18412 numbers up to 18413 share no factor with it.
- 4
The digits of 18413 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 123 steps to reach 1.
18413 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 18414 |
| Euler totient φ(n) | 18412 |
| Square | 339038569 |
| Cube | 6242717170997 |
| Square root | 135.694510 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 123 |
| Scientific notation | 1.8413 × |
18413 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand four hundred and thirteen |
| Binary (base 2) | 100011111101101 |
| Octal (base 8) | 43755 |
| Hexadecimal (base 16) | 47ED |
| Base 3 | 221020222 |
| As time | 18413 seconds = 5 h 6 min 53 s |
Is 18413 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 3) | 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 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 18413 a prime number?
Yes. 18413 is divisible only by 1 and itself.
What are the factors of 18413?
1, 18413.
What is 18413 in binary?
100011111101101 (hexadecimal 47ED, octal 43755).
What is the square root of 18413?
About 135.6945.
Is 18413 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 18413?
18413 is the 2109th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.