The number 27701
27701 is the 3022nd prime number. Its only divisors are 1 and 27701.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27701: the 3022nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27701 is prime, so its only factors are 1 and 27701. It is the 3022nd prime; the next prime is 27733 and the one before is 27697.
- 3
The divisors add up to 27702; without 27701 itself that is 1, so 27701 is deficient (1 is less than 27701). Euler's totient φ(27701) = 27700 numbers up to 27701 share no factor with it.
- 4
The digits of 27701 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 152 steps to reach 1.
27701 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27702 |
| Euler totient φ(n) | 27700 |
| Square | 767345401 |
| Cube | 21256234953101 |
| Square root | 166.436174 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7701 × |
27701 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and one |
| Binary (base 2) | 110110000110101 |
| Octal (base 8) | 66065 |
| Hexadecimal (base 16) | 6C35 |
| Base 3 | 1101222222 |
| As time | 27701 seconds = 7 h 41 min 41 s |
Is 27701 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 1) | 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 5) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27701 a prime number?
Yes. 27701 is divisible only by 1 and itself.
What are the factors of 27701?
1, 27701.
What is 27701 in binary?
110110000110101 (hexadecimal 6C35, octal 66065).
What is the square root of 27701?
About 166.4362.
Is 27701 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 27701?
27701 is the 3022nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.