The number 27167
27167 is a composite number with 4 divisors. Its prime factorisation is 7 × 3881. Divisors (4): 1, 7, 3881, 27167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27167: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 3881, the product of two primes.
- 2
27167 is composite. Its prime factorisation is
- 3
The divisors add up to 31056; without 27167 itself that is 3889, so 27167 is deficient (3889 is less than 27167). Euler's totient φ(27167) = 23280 numbers up to 27167 share no factor with it.
- 4
The digits of 27167 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27167 = 7 \times 3881 \]
27167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 31056 |
| Euler totient φ(n) | 23280 |
| Square | 738045889 |
| Cube | 20050492666463 |
| Square root | 164.824149 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7167 × |
27167 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and sixty-seven |
| Binary (base 2) | 110101000011111 |
| Octal (base 8) | 65037 |
| Hexadecimal (base 16) | 6A1F |
| Base 3 | 1101021012 |
| As time | 27167 seconds = 7 h 32 min 47 s |
Is 27167 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27167 ÷ 7 = 3881) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27167 a prime number?
No. 27167 = 7 × 3881, so it is divisible by 7.
What are the factors of 27167?
1, 7, 3881, 27167.
What is 27167 in binary?
110101000011111 (hexadecimal 6A1F, octal 65037).
What is the square root of 27167?
About 164.8241.
Is 27167 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 27167?
27167 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 3881, the product of two primes.