The number 2999
2999 is a twin prime (2999 and 3001 are both prime) and the 430th prime number. Its only divisors are 1 and 2999.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2999: a twin prime (2999 and 3001 are both prime); the 430th prime number.
- 2
2999 is prime, so its only factors are 1 and 2999. It is the 430th prime; the next prime is 3001 and the one before is 2971.
- 3
The divisors add up to 3000; without 2999 itself that is 1, so 2999 is deficient (1 is less than 2999). Euler's totient φ(2999) = 2998 numbers up to 2999 share no factor with it.
- 4
The digits of 2999 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
2999 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3000 |
| Euler totient φ(n) | 2998 |
| Square | 8994001 |
| Cube | 26973008999 |
| Square root | 54.763126 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.999 × |
2999 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and ninety-nine |
| Roman numerals | MMCMXCIX |
| Binary (base 2) | 101110110111 |
| Octal (base 8) | 5667 |
| Hexadecimal (base 16) | BB7 |
| Base 3 | 11010002 |
| As time | 2999 seconds = 49 min 59 s |
Is 2999 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 3) | 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 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 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2999 a prime number?
Yes. 2999 is divisible only by 1 and itself.
What are the factors of 2999?
1, 2999.
What is 2999 in binary?
101110110111 (hexadecimal BB7, octal 5667).
What is the square root of 2999?
About 54.7631.
What is 2999 in Roman numerals?
MMCMXCIX.
Is 2999 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 2999?
2999 is a twin prime (2999 and 3001 are both prime); the 430th prime number.