The number 27267
27267 is a composite number with 8 divisors. Its prime factorisation is 3 × 61 × 149. Divisors (8): 1, 3, 61, 149, 183, 447, 9089, 27267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27267 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27267 is composite. Its prime factorisation is
- 3
The divisors add up to 37200; without 27267 itself that is 9933, so 27267 is deficient (9933 is less than 27267). Euler's totient φ(27267) = 17760 numbers up to 27267 share no factor with it.
- 4
The digits of 27267 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27267 = 3 \times 61 \times 149 \]
27267 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 37200 |
| Euler totient φ(n) | 17760 |
| Square | 743489289 |
| Cube | 20272722443163 |
| Square root | 165.127224 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7267 × |
27267 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and sixty-seven |
| Binary (base 2) | 110101010000011 |
| Octal (base 8) | 65203 |
| Hexadecimal (base 16) | 6A83 |
| Base 3 | 1101101220 |
| As time | 27267 seconds = 7 h 34 min 27 s |
Is 27267 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27267 ÷ 3 = 9089) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27267 a prime number?
No. 27267 = 3 × 61 × 149, so it is divisible by 3.
What are the factors of 27267?
1, 3, 61, 149, 183, 447, 9089, 27267.
What is 27267 in binary?
110101010000011 (hexadecimal 6A83, octal 65203).
What is the square root of 27267?
About 165.1272.
Is 27267 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 27267?
It is a composite number with 8 divisors.