The number 18313
18313 is a twin prime (18311 and 18313 are both prime) and the 2100th prime number. Its only divisors are 1 and 18313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18313: a twin prime (18311 and 18313 are both prime); the 2100th prime number.
- 2
18313 is prime, so its only factors are 1 and 18313. It is the 2100th prime; the next prime is 18329 and the one before is 18311.
- 3
The divisors add up to 18314; without 18313 itself that is 1, so 18313 is deficient (1 is less than 18313). Euler's totient φ(18313) = 18312 numbers up to 18313 share no factor with it.
- 4
The digits of 18313 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
18313 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 18314 |
| Euler totient φ(n) | 18312 |
| Square | 335365969 |
| Cube | 6141556990297 |
| Square root | 135.325533 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.8313 × |
18313 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and thirteen |
| Binary (base 2) | 100011110001001 |
| Octal (base 8) | 43611 |
| Hexadecimal (base 16) | 4789 |
| Base 3 | 221010021 |
| As time | 18313 seconds = 5 h 5 min 13 s |
Is 18313 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 3) | 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | 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 18313 a prime number?
Yes. 18313 is divisible only by 1 and itself.
What are the factors of 18313?
1, 18313.
What is 18313 in binary?
100011110001001 (hexadecimal 4789, octal 43611).
What is the square root of 18313?
About 135.3255.
Is 18313 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 18313?
18313 is a twin prime (18311 and 18313 are both prime); the 2100th prime number.