The number 27388
27388 is a composite number with 12 divisors. Its prime factorisation is × 41 × 167. Divisors (12): 1, 2, 4, 41, 82, 164, 167, 334, 668, 6847, 13694, 27388.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27388: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27388 is composite. Its prime factorisation is
- 3
The divisors add up to 49392; without 27388 itself that is 22004, so 27388 is deficient (22004 is less than 27388). Euler's totient φ(27388) = 13280 numbers up to 27388 share no factor with it.
- 4
The digits of 27388 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27388 = 2^{2} \times 41 \times 167 \]27388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 49392 |
| Euler totient φ(n) | 13280 |
| Square | 750102544 |
| Cube | 20543808475072 |
| Square root | 165.493202 (= 2√6847) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7388 × |
27388 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and eighty-eight |
| Binary (base 2) | 110101011111100 |
| Octal (base 8) | 65374 |
| Hexadecimal (base 16) | 6AFC |
| Base 3 | 1101120101 |
| As time | 27388 seconds = 7 h 36 min 28 s |
Is 27388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27388 ÷ 2 = 13694) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27388 ÷ 4 = 6847) | 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 4) | 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 1) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27388 a prime number?
No. 27388 = × 41 × 167, so it is divisible by 2.
What are the factors of 27388?
1, 2, 4, 41, 82, 164, 167, 334, 668, 6847, 13694, 27388.
What is 27388 in binary?
110101011111100 (hexadecimal 6AFC, octal 65374).
What is the square root of 27388?
About 165.4932, exactly 2√6847.
Is 27388 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 27388?
27388 is a happy number: repeatedly adding the squares of its digits reaches 1.