The number 27034
27034 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 1931. Divisors (8): 1, 2, 7, 14, 1931, 3862, 13517, 27034.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27034 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27034 is composite. Its prime factorisation is
- 3
The divisors add up to 46368; without 27034 itself that is 19334, so 27034 is deficient (19334 is less than 27034). Euler's totient φ(27034) = 11580 numbers up to 27034 share no factor with it.
- 4
The digits of 27034 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27034 = 2 \times 7 \times 1931 \]
27034 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46368 |
| Euler totient φ(n) | 11580 |
| Square | 730837156 |
| Cube | 19757451675304 |
| Square root | 164.420193 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7034 × |
27034 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and thirty-four |
| Binary (base 2) | 110100110011010 |
| Octal (base 8) | 64632 |
| Hexadecimal (base 16) | 699A |
| Base 3 | 1101002021 |
| As time | 27034 seconds = 7 h 30 min 34 s |
Is 27034 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27034 ÷ 2 = 13517) | 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 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27034 ÷ 7 = 3862) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27034 a prime number?
No. 27034 = 2 × 7 × 1931, so it is divisible by 2.
What are the factors of 27034?
1, 2, 7, 14, 1931, 3862, 13517, 27034.
What is 27034 in binary?
110100110011010 (hexadecimal 699A, octal 64632).
What is the square root of 27034?
About 164.4202.
Is 27034 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27034?
It is a composite number with 8 divisors.