The number 27488
27488 is a composite number with 12 divisors. Its prime factorisation is × 859. Divisors (12): 1, 2, 4, 8, 16, 32, 859, 1718, 3436, 6872, 13744, 27488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27488 is composite. Its prime factorisation is
- 3
The divisors add up to 54180; without 27488 itself that is 26692, so 27488 is deficient (26692 is less than 27488). Euler's totient φ(27488) = 13728 numbers up to 27488 share no factor with it.
- 4
The digits of 27488 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27488 = 2^{5} \times 859 \]27488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 54180 |
| Euler totient φ(n) | 13728 |
| Square | 755590144 |
| Cube | 20769661878272 |
| Square root | 165.795054 (= 4√1718) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7488 × |
27488 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and eighty-eight |
| Binary (base 2) | 110101101100000 |
| Octal (base 8) | 65540 |
| Hexadecimal (base 16) | 6B60 |
| Base 3 | 1101201002 |
| As time | 27488 seconds = 7 h 38 min 8 s |
Is 27488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27488 ÷ 2 = 13744) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27488 ÷ 4 = 6872) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (27488 ÷ 8 = 3436) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27488 a prime number?
No. 27488 = × 859, so it is divisible by 2.
What are the factors of 27488?
1, 2, 4, 8, 16, 32, 859, 1718, 3436, 6872, 13744, 27488.
What is 27488 in binary?
110101101100000 (hexadecimal 6B60, octal 65540).
What is the square root of 27488?
About 165.7951, exactly 4√1718.
Is 27488 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 27488?
It is a composite number with 12 divisors.