The number 40044
40044 is a composite number with 24 divisors. Its prime factorisation is × 3 × 47 × 71. Divisors (24): 1, 2, 3, 4, 6, 12, 47, 71, 94, 141, 142, 188, 213, 282, 284, 426 … 40044.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40044: a Harshad number: divisible by its digit sum 12.
- 2
40044 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 40044 itself that is 56724, so 40044 is abundant (56724 is more than 40044). Euler's totient φ(40044) = 12880 numbers up to 40044 share no factor with it.
- 4
The digits of 40044 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 212 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40044 = 2^{2} \times 3 \times 47 \times 71 \]40044 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 12880 |
| Square | 1603521936 |
| Cube | 64211432405184 |
| Square root | 200.109970 (= 2√10011) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 212 |
| Scientific notation | 4.0044 × |
40044 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and forty-four |
| Binary (base 2) | 1001110001101100 |
| Octal (base 8) | 116154 |
| Hexadecimal (base 16) | 9C6C |
| Base 3 | 2000221010 |
| As time | 40044 seconds = 11 h 7 min 24 s |
Is 40044 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40044 ÷ 2 = 20022) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40044 ÷ 3 = 13348) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40044 ÷ 4 = 10011) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40044 ÷ 6 = 6674) | 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 4) | 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 4) | 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 | Yes (40044 ÷ 12 = 3337) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40044 a prime number?
No. 40044 = × 3 × 47 × 71, so it is divisible by 2.
What are the factors of 40044?
1, 2, 3, 4, 6, 12, 47, 71, 94, 141, 142, 188, 213, 282, 284, 426, 564, 852, 3337, 6674, 10011, 13348, 20022, 40044.
What is 40044 in binary?
1001110001101100 (hexadecimal 9C6C, octal 116154).
What is the square root of 40044?
About 200.1100, exactly 2√10011.
Is 40044 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 40044?
40044 is a Harshad number: divisible by its digit sum 12.