The number 7049
7049 is a composite number with 8 divisors. Its prime factorisation is 7 × 19 × 53. Divisors (8): 1, 7, 19, 53, 133, 371, 1007, 7049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7049 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7049 is composite. Its prime factorisation is
- 3
The divisors add up to 8640; without 7049 itself that is 1591, so 7049 is deficient (1591 is less than 7049). Euler's totient φ(7049) = 5616 numbers up to 7049 share no factor with it.
- 4
The digits of 7049 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7049 = 7 \times 19 \times 53 \]
7049 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8640 |
| Euler totient φ(n) | 5616 |
| Square | 49688401 |
| Cube | 350253538649 |
| Square root | 83.958323 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 80 |
| Scientific notation | 7.049 × |
7049 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and forty-nine |
| Binary (base 2) | 1101110001001 |
| Octal (base 8) | 15611 |
| Hexadecimal (base 16) | 1B89 |
| Base 3 | 100200002 |
| As time | 7049 seconds = 1 h 57 min 29 s |
Is 7049 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 | Yes (7049 ÷ 7 = 1007) | 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 7049 a prime number?
No. 7049 = 7 × 19 × 53, so it is divisible by 7.
What are the factors of 7049?
1, 7, 19, 53, 133, 371, 1007, 7049.
What is 7049 in binary?
1101110001001 (hexadecimal 1B89, octal 15611).
What is the square root of 7049?
About 83.9583.
Is 7049 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 7049?
It is a composite number with 8 divisors.