The number 27434
27434 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 29 × 43. Divisors (16): 1, 2, 11, 22, 29, 43, 58, 86, 319, 473, 638, 946, 1247, 2494, 13717, 27434.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27434: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27434 is composite. Its prime factorisation is
- 3
The divisors add up to 47520; without 27434 itself that is 20086, so 27434 is deficient (20086 is less than 27434). Euler's totient φ(27434) = 11760 numbers up to 27434 share no factor with it.
- 4
The digits of 27434 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27434 = 2 \times 11 \times 29 \times 43 \]
27434 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 47520 |
| Euler totient φ(n) | 11760 |
| Square | 752624356 |
| Cube | 20647496582504 |
| Square root | 165.632122 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.7434 × |
27434 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and thirty-four |
| Binary (base 2) | 110101100101010 |
| Octal (base 8) | 65452 |
| Hexadecimal (base 16) | 6B2A |
| Base 3 | 1101122002 |
| As time | 27434 seconds = 7 h 37 min 14 s |
Is 27434 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27434 ÷ 2 = 13717) | 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 1) | 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 2) | 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 | Yes (27434 ÷ 11 = 2494) | 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 27434 a prime number?
No. 27434 = 2 × 11 × 29 × 43, so it is divisible by 2.
What are the factors of 27434?
1, 2, 11, 22, 29, 43, 58, 86, 319, 473, 638, 946, 1247, 2494, 13717, 27434.
What is 27434 in binary?
110101100101010 (hexadecimal 6B2A, octal 65452).
What is the square root of 27434?
About 165.6321.
Is 27434 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 27434?
27434 is a happy number: repeatedly adding the squares of its digits reaches 1.