The number 4041
4041 is a composite number with 6 divisors. Its prime factorisation is × 449. Divisors (6): 1, 3, 9, 449, 1347, 4041.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4041: a Harshad number: divisible by its digit sum 9.
- 2
4041 is composite. Its prime factorisation is
- 3
The divisors add up to 5850; without 4041 itself that is 1809, so 4041 is deficient (1809 is less than 4041). Euler's totient φ(4041) = 2688 numbers up to 4041 share no factor with it.
- 4
The digits of 4041 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 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4041 = 3^{2} \times 449 \]4041 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 5850 |
| Euler totient φ(n) | 2688 |
| Square | 16329681 |
| Cube | 65988240921 |
| Square root | 63.568860 (= 3√449) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 144 |
| Scientific notation | 4.041 × |
4041 in other forms
| Form | Value |
|---|---|
| In words | four thousand and forty-one |
| Binary (base 2) | 111111001001 |
| Octal (base 8) | 7711 |
| Hexadecimal (base 16) | FC9 |
| Base 3 | 12112200 |
| As time | 4041 seconds = 1 h 7 min 21 s |
Is 4041 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 (4041 ÷ 3 = 1347) | 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 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 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 (4041 ÷ 9 = 449) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4041 a prime number?
No. 4041 = × 449, so it is divisible by 3.
What are the factors of 4041?
1, 3, 9, 449, 1347, 4041.
What is 4041 in binary?
111111001001 (hexadecimal FC9, octal 7711).
What is the square root of 4041?
About 63.5689, exactly 3√449.
Is 4041 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 4041?
4041 is a Harshad number: divisible by its digit sum 9.