The number 18133
18133 is a twin prime (18131 and 18133 are both prime) and the 2079th prime number. Its only divisors are 1 and 18133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18133: a twin prime (18131 and 18133 are both prime); the 2079th prime number.
- 2
18133 is prime, so its only factors are 1 and 18133. It is the 2079th prime; the next prime is 18143 and the one before is 18131.
- 3
The divisors add up to 18134; without 18133 itself that is 1, so 18133 is deficient (1 is less than 18133). Euler's totient φ(18133) = 18132 numbers up to 18133 share no factor with it.
- 4
The digits of 18133 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.
18133 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 18134 |
| Euler totient φ(n) | 18132 |
| Square | 328805689 |
| Cube | 5962233558637 |
| Square root | 134.658828 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.8133 × |
18133 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and thirty-three |
| Binary (base 2) | 100011011010101 |
| Octal (base 8) | 43325 |
| Hexadecimal (base 16) | 46D5 |
| Base 3 | 220212121 |
| As time | 18133 seconds = 5 h 2 min 13 s |
Is 18133 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 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 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 5) | 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 18133 a prime number?
Yes. 18133 is divisible only by 1 and itself.
What are the factors of 18133?
1, 18133.
What is 18133 in binary?
100011011010101 (hexadecimal 46D5, octal 43325).
What is the square root of 18133?
About 134.6588.
Is 18133 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 18133?
18133 is a twin prime (18131 and 18133 are both prime); the 2079th prime number.