The number 10044
10044 is a composite number with 30 divisors. Its prime factorisation is × × 31. Divisors (30): 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 81, 93, 108 … 10044.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10044: a Harshad number: divisible by its digit sum 9.
- 2
10044 is composite. Its prime factorisation is
- 3
The divisors add up to 27104; without 10044 itself that is 17060, so 10044 is abundant (17060 is more than 10044). Euler's totient φ(10044) = 3240 numbers up to 10044 share no factor with it.
- 4
The digits of 10044 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10044 = 2^{2} \times 3^{4} \times 31 \]10044 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 27104 |
| Euler totient φ(n) | 3240 |
| Square | 100881936 |
| Cube | 1013258165184 |
| Square root | 100.219759 (= 18√31) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 1.0044 × |
10044 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and forty-four |
| Binary (base 2) | 10011100111100 |
| Octal (base 8) | 23474 |
| Hexadecimal (base 16) | 273C |
| Base 3 | 111210000 |
| As time | 10044 seconds = 2 h 47 min 24 s |
Is 10044 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10044 ÷ 2 = 5022) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10044 ÷ 3 = 3348) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (10044 ÷ 4 = 2511) | 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 (10044 ÷ 6 = 1674) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (10044 ÷ 9 = 1116) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (10044 ÷ 12 = 837) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10044 a prime number?
No. 10044 = × × 31, so it is divisible by 2.
What are the factors of 10044?
1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 81, 93, 108, 124, 162, 186, 279, 324, 372, 558, 837, 1116, 1674, 2511, 3348, 5022, 10044.
What is 10044 in binary?
10011100111100 (hexadecimal 273C, octal 23474).
What is the square root of 10044?
About 100.2198, exactly 18√31.
Is 10044 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 10044?
10044 is a Harshad number: divisible by its digit sum 9.