The number 8077
8077 is a composite number with 4 divisors. Its prime factorisation is 41 × 197. Divisors (4): 1, 41, 197, 8077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8077: a semiprime: 41 × 197, the product of two primes.
- 2
8077 is composite. Its prime factorisation is
- 3
The divisors add up to 8316; without 8077 itself that is 239, so 8077 is deficient (239 is less than 8077). Euler's totient φ(8077) = 7840 numbers up to 8077 share no factor with it.
- 4
The digits of 8077 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8077 = 41 \times 197 \]
8077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 8316 |
| Euler totient φ(n) | 7840 |
| Square | 65237929 |
| Cube | 526926752533 |
| Square root | 89.872131 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 114 |
| Scientific notation | 8.077 × |
8077 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and seventy-seven |
| Binary (base 2) | 1111110001101 |
| Octal (base 8) | 17615 |
| Hexadecimal (base 16) | 1F8D |
| Base 3 | 102002011 |
| As time | 8077 seconds = 2 h 14 min 37 s |
Is 8077 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8077 a prime number?
No. 8077 = 41 × 197, so it is divisible by 41.
What are the factors of 8077?
1, 41, 197, 8077.
What is 8077 in binary?
1111110001101 (hexadecimal 1F8D, octal 17615).
What is the square root of 8077?
About 89.8721.
Is 8077 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 8077?
8077 is a semiprime: 41 × 197, the product of two primes.