The number 27077
27077 is the 2970th prime number. Its only divisors are 1 and 27077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27077: the 2970th prime number.
- 2
27077 is prime, so its only factors are 1 and 27077. It is the 2970th prime; the next prime is 27091 and the one before is 27073.
- 3
The divisors add up to 27078; without 27077 itself that is 1, so 27077 is deficient (1 is less than 27077). Euler's totient φ(27077) = 27076 numbers up to 27077 share no factor with it.
- 4
The digits of 27077 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 46 steps to reach 1.
27077 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27078 |
| Euler totient φ(n) | 27076 |
| Square | 733163929 |
| Cube | 19851879705533 |
| Square root | 164.550904 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.7077 × |
27077 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and seventy-seven |
| Binary (base 2) | 110100111000101 |
| Octal (base 8) | 64705 |
| Hexadecimal (base 16) | 69C5 |
| Base 3 | 1101010212 |
| As time | 27077 seconds = 7 h 31 min 17 s |
Is 27077 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 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 | 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 5) | 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 6) | 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 27077 a prime number?
Yes. 27077 is divisible only by 1 and itself.
What are the factors of 27077?
1, 27077.
What is 27077 in binary?
110100111000101 (hexadecimal 69C5, octal 64705).
What is the square root of 27077?
About 164.5509.
Is 27077 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 27077?
27077 is the 2970th prime number.