The number 1044
1044 is a composite number with 18 divisors. Its prime factorisation is × × 29. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348 … 1044.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1044: a Harshad number: divisible by its digit sum 9.
- 2
1044 is composite. Its prime factorisation is
- 3
The divisors add up to 2730; without 1044 itself that is 1686, so 1044 is abundant (1686 is more than 1044). Euler's totient φ(1044) = 336 numbers up to 1044 share no factor with it.
- 4
The digits of 1044 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 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1044 = 2^{2} \times 3^{2} \times 29 \]1044 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 2730 |
| Euler totient φ(n) | 336 |
| Square | 1089936 |
| Cube | 1137893184 |
| Square root | 32.310989 (= 6√29) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 31 |
| Scientific notation | 1.044 × |
1044 in other forms
| Form | Value |
|---|---|
| In words | one thousand and forty-four |
| Roman numerals | MXLIV |
| Binary (base 2) | 10000010100 |
| Octal (base 8) | 2024 |
| Hexadecimal (base 16) | 414 |
| Base 3 | 1102200 |
| As time | 1044 seconds = 17 min 24 s |
Is 1044 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1044 ÷ 2 = 522) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1044 ÷ 3 = 348) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1044 ÷ 4 = 261) | 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 (1044 ÷ 6 = 174) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (1044 ÷ 9 = 116) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1044 ÷ 12 = 87) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1044 a prime number?
No. 1044 = × × 29, so it is divisible by 2.
What are the factors of 1044?
1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044.
What is 1044 in binary?
10000010100 (hexadecimal 414, octal 2024).
What is the square root of 1044?
About 32.3110, exactly 6√29.
What is 1044 in Roman numerals?
MXLIV.
Is 1044 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 1044?
1044 is a Harshad number: divisible by its digit sum 9.