The number 44088
44088 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 167. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 167 … 44088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 44088: a Harshad number: divisible by its digit sum 24.
- 2
44088 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 44088 itself that is 76872, so 44088 is abundant (76872 is more than 44088). Euler's totient φ(44088) = 13280 numbers up to 44088 share no factor with it.
- 4
The digits of 44088 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 44088 = 2^{3} \times 3 \times 11 \times 167 \]44088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 13280 |
| Square | 1943751744 |
| Cube | 85696126889472 |
| Square root | 209.971427 (= 2√11022) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.4088 × |
44088 in other forms
| Form | Value |
|---|---|
| In words | forty-four thousand and eighty-eight |
| Binary (base 2) | 1010110000111000 |
| Octal (base 8) | 126070 |
| Hexadecimal (base 16) | AC38 |
| Base 3 | 2020110220 |
| As time | 44088 seconds = 12 h 14 min 48 s |
Is 44088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (44088 ÷ 2 = 22044) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (44088 ÷ 3 = 14696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (44088 ÷ 4 = 11022) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (44088 ÷ 6 = 7348) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (44088 ÷ 8 = 5511) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (44088 ÷ 11 = 4008) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (44088 ÷ 12 = 3674) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 44088 a prime number?
No. 44088 = × 3 × 11 × 167, so it is divisible by 2.
What are the factors of 44088?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 167, 264, 334, 501, 668, 1002, 1336, 1837, 2004, 3674, 4008, 5511, 7348, 11022, 14696, 22044, 44088.
What is 44088 in binary?
1010110000111000 (hexadecimal AC38, octal 126070).
What is the square root of 44088?
About 209.9714, exactly 2√11022.
Is 44088 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 44088?
44088 is a Harshad number: divisible by its digit sum 24.