The number 18077
18077 is the 2072nd prime number. Its only divisors are 1 and 18077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18077: the 2072nd prime number.
- 2
18077 is prime, so its only factors are 1 and 18077. It is the 2072nd prime; the next prime is 18089 and the one before is 18061.
- 3
The divisors add up to 18078; without 18077 itself that is 1, so 18077 is deficient (1 is less than 18077). Euler's totient φ(18077) = 18076 numbers up to 18077 share no factor with it.
- 4
The digits of 18077 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 92 steps to reach 1.
18077 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 18078 |
| Euler totient φ(n) | 18076 |
| Square | 326777929 |
| Cube | 5907164622533 |
| Square root | 134.450734 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 92 |
| Scientific notation | 1.8077 × |
18077 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and seventy-seven |
| Binary (base 2) | 100011010011101 |
| Octal (base 8) | 43235 |
| Hexadecimal (base 16) | 469D |
| Base 3 | 220210112 |
| As time | 18077 seconds = 5 h 1 min 17 s |
Is 18077 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 2) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18077 a prime number?
Yes. 18077 is divisible only by 1 and itself.
What are the factors of 18077?
1, 18077.
What is 18077 in binary?
100011010011101 (hexadecimal 469D, octal 43235).
What is the square root of 18077?
About 134.4507.
Is 18077 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 18077?
18077 is the 2072nd prime number.