The number 27134
27134 is a composite number with 4 divisors. Its prime factorisation is 2 × 13567. Divisors (4): 1, 2, 13567, 27134.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27134: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 13567, the product of two primes.
- 2
27134 is composite. Its prime factorisation is
- 3
The divisors add up to 40704; without 27134 itself that is 13570, so 27134 is deficient (13570 is less than 27134). Euler's totient φ(27134) = 13566 numbers up to 27134 share no factor with it.
- 4
The digits of 27134 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27134 = 2 \times 13567 \]
27134 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 40704 |
| Euler totient φ(n) | 13566 |
| Square | 736253956 |
| Cube | 19977514842104 |
| Square root | 164.724012 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7134 × |
27134 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and thirty-four |
| Binary (base 2) | 110100111111110 |
| Octal (base 8) | 64776 |
| Hexadecimal (base 16) | 69FE |
| Base 3 | 1101012222 |
| As time | 27134 seconds = 7 h 32 min 14 s |
Is 27134 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27134 ÷ 2 = 13567) | 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 | 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 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27134 a prime number?
No. 27134 = 2 × 13567, so it is divisible by 2.
What are the factors of 27134?
1, 2, 13567, 27134.
What is 27134 in binary?
110100111111110 (hexadecimal 69FE, octal 64776).
What is the square root of 27134?
About 164.7240.
Is 27134 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 27134?
27134 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 13567, the product of two primes.