The number 40041
40041 is a composite number with 8 divisors. Its prime factorisation is × 1483. Divisors (8): 1, 3, 9, 27, 1483, 4449, 13347, 40041.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40041: a Harshad number: divisible by its digit sum 9.
- 2
40041 is composite. Its prime factorisation is
- 3
The divisors add up to 59360; without 40041 itself that is 19319, so 40041 is deficient (19319 is less than 40041). Euler's totient φ(40041) = 26676 numbers up to 40041 share no factor with it.
- 4
The digits of 40041 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40041 = 3^{3} \times 1483 \]40041 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59360 |
| Euler totient φ(n) | 26676 |
| Square | 1603281681 |
| Cube | 64197001788921 |
| Square root | 200.102474 (= 3√4449) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.0041 × |
40041 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and forty-one |
| Binary (base 2) | 1001110001101001 |
| Octal (base 8) | 116151 |
| Hexadecimal (base 16) | 9C69 |
| Base 3 | 2000221000 |
| As time | 40041 seconds = 11 h 7 min 21 s |
Is 40041 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 (40041 ÷ 3 = 13347) | 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 1) | 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 (40041 ÷ 9 = 4449) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40041 a prime number?
No. 40041 = × 1483, so it is divisible by 3.
What are the factors of 40041?
1, 3, 9, 27, 1483, 4449, 13347, 40041.
What is 40041 in binary?
1001110001101001 (hexadecimal 9C69, octal 116151).
What is the square root of 40041?
About 200.1025, exactly 3√4449.
Is 40041 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 40041?
40041 is a Harshad number: divisible by its digit sum 9.