The number 27211
27211 is the 2980th prime number. Its only divisors are 1 and 27211.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27211: the 2980th prime number.
- 2
27211 is prime, so its only factors are 1 and 27211. It is the 2980th prime; the next prime is 27239 and the one before is 27197.
- 3
The divisors add up to 27212; without 27211 itself that is 1, so 27211 is deficient (1 is less than 27211). Euler's totient φ(27211) = 27210 numbers up to 27211 share no factor with it.
- 4
The digits of 27211 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
27211 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27212 |
| Euler totient φ(n) | 27210 |
| Square | 740438521 |
| Cube | 20148072594931 |
| Square root | 164.957570 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7211 × |
27211 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and eleven |
| Binary (base 2) | 110101001001011 |
| Octal (base 8) | 65113 |
| Hexadecimal (base 16) | 6A4B |
| Base 3 | 1101022211 |
| As time | 27211 seconds = 7 h 33 min 31 s |
Is 27211 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 1) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27211 a prime number?
Yes. 27211 is divisible only by 1 and itself.
What are the factors of 27211?
1, 27211.
What is 27211 in binary?
110101001001011 (hexadecimal 6A4B, octal 65113).
What is the square root of 27211?
About 164.9576.
Is 27211 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 27211?
27211 is the 2980th prime number.