The number 27444
27444 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2287. Divisors (12): 1, 2, 3, 4, 6, 12, 2287, 4574, 6861, 9148, 13722, 27444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27444 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27444 is composite. Its prime factorisation is
- 3
The divisors add up to 64064; without 27444 itself that is 36620, so 27444 is abundant (36620 is more than 27444). Euler's totient φ(27444) = 9144 numbers up to 27444 share no factor with it.
- 4
The digits of 27444 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27444 = 2^{2} \times 3 \times 2287 \]27444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 64064 |
| Euler totient φ(n) | 9144 |
| Square | 753173136 |
| Cube | 20670083544384 |
| Square root | 165.662307 (= 2√6861) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.7444 × |
27444 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and forty-four |
| Binary (base 2) | 110101100110100 |
| Octal (base 8) | 65464 |
| Hexadecimal (base 16) | 6B34 |
| Base 3 | 1101122110 |
| As time | 27444 seconds = 7 h 37 min 24 s |
Is 27444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27444 ÷ 2 = 13722) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27444 ÷ 3 = 9148) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27444 ÷ 4 = 6861) | 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 (27444 ÷ 6 = 4574) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27444 ÷ 12 = 2287) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27444 a prime number?
No. 27444 = × 3 × 2287, so it is divisible by 2.
What are the factors of 27444?
1, 2, 3, 4, 6, 12, 2287, 4574, 6861, 9148, 13722, 27444.
What is 27444 in binary?
110101100110100 (hexadecimal 6B34, octal 65464).
What is the square root of 27444?
About 165.6623, exactly 2√6861.
Is 27444 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 27444?
It is a composite number with 12 divisors.