The number 27977
27977 is a composite number with 4 divisors. Its prime factorisation is 101 × 277. Divisors (4): 1, 101, 277, 27977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27977: a semiprime: 101 × 277, the product of two primes.
- 2
27977 is composite. Its prime factorisation is
- 3
The divisors add up to 28356; without 27977 itself that is 379, so 27977 is deficient (379 is less than 27977). Euler's totient φ(27977) = 27600 numbers up to 27977 share no factor with it.
- 4
The digits of 27977 add up to 32, 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
\[ 27977 = 101 \times 277 \]
27977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 28356 |
| Euler totient φ(n) | 27600 |
| Square | 782712529 |
| Cube | 21897948423833 |
| Square root | 167.263266 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7977 × |
27977 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and seventy-seven |
| Binary (base 2) | 110110101001001 |
| Octal (base 8) | 66511 |
| Hexadecimal (base 16) | 6D49 |
| Base 3 | 1102101012 |
| As time | 27977 seconds = 7 h 46 min 17 s |
Is 27977 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 5) | 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 1) | 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 4) | 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 27977 a prime number?
No. 27977 = 101 × 277, so it is divisible by 101.
What are the factors of 27977?
1, 101, 277, 27977.
What is 27977 in binary?
110110101001001 (hexadecimal 6D49, octal 66511).
What is the square root of 27977?
About 167.2633.
Is 27977 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 27977?
27977 is a semiprime: 101 × 277, the product of two primes.