The number 5049
5049 is a binary palindrome (1001110111001). Its prime factorisation is × 11 × 17. Divisors (16): 1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 297, 459, 561, 1683, 5049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5049: a binary palindrome (1001110111001).
- 2
5049 is composite. Its prime factorisation is
- 3
The divisors add up to 8640; without 5049 itself that is 3591, so 5049 is deficient (3591 is less than 5049). Euler's totient φ(5049) = 2880 numbers up to 5049 share no factor with it.
- 4
The digits of 5049 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5049 = 3^{3} \times 11 \times 17 \]5049 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8640 |
| Euler totient φ(n) | 2880 |
| Square | 25492401 |
| Cube | 128711132649 |
| Square root | 71.056316 (= 3√561) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 85 |
| Scientific notation | 5.049 × |
5049 in other forms
| Form | Value |
|---|---|
| In words | five thousand and forty-nine |
| Binary (base 2) | 1001110111001 |
| Octal (base 8) | 11671 |
| Hexadecimal (base 16) | 13B9 |
| Base 3 | 20221000 |
| As time | 5049 seconds = 1 h 24 min 9 s |
Is 5049 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 | Yes (5049 ÷ 3 = 1683) | 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 3) | 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 | Yes (5049 ÷ 9 = 561) | 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 | Yes (5049 ÷ 11 = 459) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5049 a prime number?
No. 5049 = × 11 × 17, so it is divisible by 3.
What are the factors of 5049?
1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 297, 459, 561, 1683, 5049.
What is 5049 in binary?
1001110111001 (hexadecimal 13B9, octal 11671).
What is the square root of 5049?
About 71.0563, exactly 3√561.
Is 5049 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5049?
5049 is a binary palindrome (1001110111001).