The number 4044
4044 is a composite number with 12 divisors. Its prime factorisation is × 3 × 337. Divisors (12): 1, 2, 3, 4, 6, 12, 337, 674, 1011, 1348, 2022, 4044.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4044: a Harshad number: divisible by its digit sum 12.
- 2
4044 is composite. Its prime factorisation is
- 3
The divisors add up to 9464; without 4044 itself that is 5420, so 4044 is abundant (5420 is more than 4044). Euler's totient φ(4044) = 1344 numbers up to 4044 share no factor with it.
- 4
The digits of 4044 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 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4044 = 2^{2} \times 3 \times 337 \]4044 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 9464 |
| Euler totient φ(n) | 1344 |
| Square | 16353936 |
| Cube | 66135317184 |
| Square root | 63.592452 (= 2√1011) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 64 |
| Scientific notation | 4.044 × |
4044 in other forms
| Form | Value |
|---|---|
| In words | four thousand and forty-four |
| Binary (base 2) | 111111001100 |
| Octal (base 8) | 7714 |
| Hexadecimal (base 16) | FCC |
| Base 3 | 12112210 |
| As time | 4044 seconds = 1 h 7 min 24 s |
Is 4044 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4044 ÷ 2 = 2022) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4044 ÷ 3 = 1348) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4044 ÷ 4 = 1011) | 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 (4044 ÷ 6 = 674) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4044 ÷ 12 = 337) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4044 a prime number?
No. 4044 = × 3 × 337, so it is divisible by 2.
What are the factors of 4044?
1, 2, 3, 4, 6, 12, 337, 674, 1011, 1348, 2022, 4044.
What is 4044 in binary?
111111001100 (hexadecimal FCC, octal 7714).
What is the square root of 4044?
About 63.5925, exactly 2√1011.
Is 4044 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 4044?
4044 is a Harshad number: divisible by its digit sum 12.