The number 3049
3049 is the 437th prime number. Its only divisors are 1 and 3049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3049: the 437th prime number.
- 2
3049 is prime, so its only factors are 1 and 3049. It is the 437th prime; the next prime is 3061 and the one before is 3041.
- 3
The divisors add up to 3050; without 3049 itself that is 1, so 3049 is deficient (1 is less than 3049). Euler's totient φ(3049) = 3048 numbers up to 3049 share no factor with it.
- 4
The digits of 3049 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 123 steps to reach 1.
3049 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3050 |
| Euler totient φ(n) | 3048 |
| Square | 9296401 |
| Cube | 28344726649 |
| Square root | 55.217751 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 123 |
| Scientific notation | 3.049 × |
3049 in other forms
| Form | Value |
|---|---|
| In words | three thousand and forty-nine |
| Roman numerals | MMMXLIX |
| Binary (base 2) | 101111101001 |
| Octal (base 8) | 5751 |
| Hexadecimal (base 16) | BE9 |
| Base 3 | 11011221 |
| As time | 3049 seconds = 50 min 49 s |
Is 3049 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 4) | 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 4) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 3049 a prime number?
Yes. 3049 is divisible only by 1 and itself.
What are the factors of 3049?
1, 3049.
What is 3049 in binary?
101111101001 (hexadecimal BE9, octal 5751).
What is the square root of 3049?
About 55.2178.
What is 3049 in Roman numerals?
MMMXLIX.
Is 3049 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3049?
3049 is the 437th prime number.