The number 4011
4011 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 191. Divisors (8): 1, 3, 7, 21, 191, 573, 1337, 4011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4011 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4011 is composite. Its prime factorisation is
- 3
The divisors add up to 6144; without 4011 itself that is 2133, so 4011 is deficient (2133 is less than 4011). Euler's totient φ(4011) = 2280 numbers up to 4011 share no factor with it.
- 4
The digits of 4011 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 188 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4011 = 3 \times 7 \times 191 \]
4011 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6144 |
| Euler totient φ(n) | 2280 |
| Square | 16088121 |
| Cube | 64529453331 |
| Square root | 63.332456 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 188 |
| Scientific notation | 4.011 × |
4011 in other forms
| Form | Value |
|---|---|
| In words | four thousand and eleven |
| Binary (base 2) | 111110101011 |
| Octal (base 8) | 7653 |
| Hexadecimal (base 16) | FAB |
| Base 3 | 12111120 |
| As time | 4011 seconds = 1 h 6 min 51 s |
Is 4011 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 (4011 ÷ 3 = 1337) | 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 | Yes (4011 ÷ 7 = 573) | 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 | No (remainder 6) | 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 7) | 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 4011 a prime number?
No. 4011 = 3 × 7 × 191, so it is divisible by 3.
What are the factors of 4011?
1, 3, 7, 21, 191, 573, 1337, 4011.
What is 4011 in binary?
111110101011 (hexadecimal FAB, octal 7653).
What is the square root of 4011?
About 63.3325.
Is 4011 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 4011?
It is a composite number with 8 divisors.