The number 4071
4071 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 59. Divisors (8): 1, 3, 23, 59, 69, 177, 1357, 4071.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4071 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4071 is composite. Its prime factorisation is
- 3
The divisors add up to 5760; without 4071 itself that is 1689, so 4071 is deficient (1689 is less than 4071). Euler's totient φ(4071) = 2552 numbers up to 4071 share no factor with it.
- 4
The digits of 4071 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4071 = 3 \times 23 \times 59 \]
4071 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5760 |
| Euler totient φ(n) | 2552 |
| Square | 16573041 |
| Cube | 67468849911 |
| Square root | 63.804389 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 157 |
| Scientific notation | 4.071 × |
4071 in other forms
| Form | Value |
|---|---|
| In words | four thousand and seventy-one |
| Binary (base 2) | 111111100111 |
| Octal (base 8) | 7747 |
| Hexadecimal (base 16) | FE7 |
| Base 3 | 12120210 |
| As time | 4071 seconds = 1 h 7 min 51 s |
Is 4071 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 (4071 ÷ 3 = 1357) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 1) | 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 4071 a prime number?
No. 4071 = 3 × 23 × 59, so it is divisible by 3.
What are the factors of 4071?
1, 3, 23, 59, 69, 177, 1357, 4071.
What is 4071 in binary?
111111100111 (hexadecimal FE7, octal 7747).
What is the square root of 4071?
About 63.8044.
Is 4071 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 4071?
It is a composite number with 8 divisors.