The number 3089
3089 is the 442nd prime number. Its only divisors are 1 and 3089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3089: the 442nd prime number.
- 2
3089 is prime, so its only factors are 1 and 3089. It is the 442nd prime; the next prime is 3109 and the one before is 3083.
- 3
The divisors add up to 3090; without 3089 itself that is 1, so 3089 is deficient (1 is less than 3089). Euler's totient φ(3089) = 3088 numbers up to 3089 share no factor with it.
- 4
The digits of 3089 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
3089 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3090 |
| Euler totient φ(n) | 3088 |
| Square | 9541921 |
| Cube | 29474993969 |
| Square root | 55.578773 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 35 |
| Scientific notation | 3.089 × |
3089 in other forms
| Form | Value |
|---|---|
| In words | three thousand and eighty-nine |
| Roman numerals | MMMLXXXIX |
| Binary (base 2) | 110000010001 |
| Octal (base 8) | 6021 |
| Hexadecimal (base 16) | C11 |
| Base 3 | 11020102 |
| As time | 3089 seconds = 51 min 29 s |
Is 3089 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 4) | 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 2) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3089 a prime number?
Yes. 3089 is divisible only by 1 and itself.
What are the factors of 3089?
1, 3089.
What is 3089 in binary?
110000010001 (hexadecimal C11, octal 6021).
What is the square root of 3089?
About 55.5788.
What is 3089 in Roman numerals?
MMMLXXXIX.
Is 3089 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3089?
3089 is the 442nd prime number.