The number 7011
7011 is a composite number with 12 divisors. Its prime factorisation is × 19 × 41. Divisors (12): 1, 3, 9, 19, 41, 57, 123, 171, 369, 779, 2337, 7011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7011: a Harshad number: divisible by its digit sum 9.
- 2
7011 is composite. Its prime factorisation is
- 3
The divisors add up to 10920; without 7011 itself that is 3909, so 7011 is deficient (3909 is less than 7011). Euler's totient φ(7011) = 4320 numbers up to 7011 share no factor with it.
- 4
The digits of 7011 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7011 = 3^{2} \times 19 \times 41 \]7011 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10920 |
| Euler totient φ(n) | 4320 |
| Square | 49154121 |
| Cube | 344619542331 |
| Square root | 83.731714 (= 3√779) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 7.011 × |
7011 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and eleven |
| Binary (base 2) | 1101101100011 |
| Octal (base 8) | 15543 |
| Hexadecimal (base 16) | 1B63 |
| Base 3 | 100121200 |
| As time | 7011 seconds = 1 h 56 min 51 s |
Is 7011 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 (7011 ÷ 3 = 2337) | 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 1) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (7011 ÷ 9 = 779) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7011 a prime number?
No. 7011 = × 19 × 41, so it is divisible by 3.
What are the factors of 7011?
1, 3, 9, 19, 41, 57, 123, 171, 369, 779, 2337, 7011.
What is 7011 in binary?
1101101100011 (hexadecimal 1B63, octal 15543).
What is the square root of 7011?
About 83.7317, exactly 3√779.
Is 7011 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 7011?
7011 is a Harshad number: divisible by its digit sum 9.