The number 27248
27248 is a composite number with 20 divisors. Its prime factorisation is × 13 × 131. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 104, 131, 208, 262, 524, 1048, 1703, 2096 … 27248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27248 is composite. Its prime factorisation is
- 3
The divisors add up to 57288; without 27248 itself that is 30040, so 27248 is abundant (30040 is more than 27248). Euler's totient φ(27248) = 12480 numbers up to 27248 share no factor with it.
- 4
The digits of 27248 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27248 = 2^{4} \times 13 \times 131 \]27248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 57288 |
| Euler totient φ(n) | 12480 |
| Square | 742453504 |
| Cube | 20230373076992 |
| Square root | 165.069682 (= 4√1703) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7248 × |
27248 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and forty-eight |
| Binary (base 2) | 110101001110000 |
| Octal (base 8) | 65160 |
| Hexadecimal (base 16) | 6A70 |
| Base 3 | 1101101012 |
| As time | 27248 seconds = 7 h 34 min 8 s |
Is 27248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27248 ÷ 2 = 13624) | 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 (27248 ÷ 4 = 6812) | 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 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 | Yes (27248 ÷ 8 = 3406) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 1) | 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 27248 a prime number?
No. 27248 = × 13 × 131, so it is divisible by 2.
What are the factors of 27248?
1, 2, 4, 8, 13, 16, 26, 52, 104, 131, 208, 262, 524, 1048, 1703, 2096, 3406, 6812, 13624, 27248.
What is 27248 in binary?
110101001110000 (hexadecimal 6A70, octal 65160).
What is the square root of 27248?
About 165.0697, exactly 4√1703.
Is 27248 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 27248?
It is a composite number with 20 divisors.