The number 27122
27122 is a composite number with 8 divisors. Its prime factorisation is 2 × 71 × 191. Divisors (8): 1, 2, 71, 142, 191, 382, 13561, 27122.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27122 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27122 is composite. Its prime factorisation is
- 3
The divisors add up to 41472; without 27122 itself that is 14350, so 27122 is deficient (14350 is less than 27122). Euler's totient φ(27122) = 13300 numbers up to 27122 share no factor with it.
- 4
The digits of 27122 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27122 = 2 \times 71 \times 191 \]
27122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 41472 |
| Euler totient φ(n) | 13300 |
| Square | 735602884 |
| Cube | 19951021419848 |
| Square root | 164.687583 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7122 × |
27122 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and twenty-two |
| Binary (base 2) | 110100111110010 |
| Octal (base 8) | 64762 |
| Hexadecimal (base 16) | 69F2 |
| Base 3 | 1101012112 |
| As time | 27122 seconds = 7 h 32 min 2 s |
Is 27122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27122 ÷ 2 = 13561) | 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 2) | 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 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27122 a prime number?
No. 27122 = 2 × 71 × 191, so it is divisible by 2.
What are the factors of 27122?
1, 2, 71, 142, 191, 382, 13561, 27122.
What is 27122 in binary?
110100111110010 (hexadecimal 69F2, octal 64762).
What is the square root of 27122?
About 164.6876.
Is 27122 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 27122?
It is a composite number with 8 divisors.