The number 44388
44388 is a composite number with 30 divisors. Its prime factorisation is × × 137. Divisors (30): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 137, 162, 274 … 44388.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 44388: a Harshad number: divisible by its digit sum 27.
- 2
44388 is composite. Its prime factorisation is
- 3
The divisors add up to 116886; without 44388 itself that is 72498, so 44388 is abundant (72498 is more than 44388). Euler's totient φ(44388) = 14688 numbers up to 44388 share no factor with it.
- 4
The digits of 44388 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 44388 = 2^{2} \times 3^{4} \times 137 \]44388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 116886 |
| Euler totient φ(n) | 14688 |
| Square | 1970294544 |
| Cube | 87457434219072 |
| Square root | 210.684598 (= 18√137) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.4388 × |
44388 in other forms
| Form | Value |
|---|---|
| In words | forty-four thousand three hundred and eighty-eight |
| Binary (base 2) | 1010110101100100 |
| Octal (base 8) | 126544 |
| Hexadecimal (base 16) | AD64 |
| Base 3 | 2020220000 |
| As time | 44388 seconds = 12 h 19 min 48 s |
Is 44388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (44388 ÷ 2 = 22194) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (44388 ÷ 3 = 14796) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (44388 ÷ 4 = 11097) | 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 (44388 ÷ 6 = 7398) | 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 (44388 ÷ 9 = 4932) | 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 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (44388 ÷ 12 = 3699) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 44388 a prime number?
No. 44388 = × × 137, so it is divisible by 2.
What are the factors of 44388?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 137, 162, 274, 324, 411, 548, 822, 1233, 1644, 2466, 3699, 4932, 7398, 11097, 14796, 22194, 44388.
What is 44388 in binary?
1010110101100100 (hexadecimal AD64, octal 126544).
What is the square root of 44388?
About 210.6846, exactly 18√137.
Is 44388 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 44388?
44388 is a Harshad number: divisible by its digit sum 27.