The number 80767
80767 is a composite number with 4 divisors. Its prime factorisation is 17 × 4751. Divisors (4): 1, 17, 4751, 80767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80767: a semiprime: 17 × 4751, the product of two primes.
- 2
80767 is composite. Its prime factorisation is
- 3
The divisors add up to 85536; without 80767 itself that is 4769, so 80767 is deficient (4769 is less than 80767). Euler's totient φ(80767) = 76000 numbers up to 80767 share no factor with it.
- 4
The digits of 80767 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 213 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80767 = 17 \times 4751 \]
80767 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 85536 |
| Euler totient φ(n) | 76000 |
| Square | 6523308289 |
| Cube | 526868040577663 |
| Square root | 284.195355 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 213 |
| Scientific notation | 8.0767 × |
80767 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand seven hundred and sixty-seven |
| Binary (base 2) | 10011101101111111 |
| Octal (base 8) | 235577 |
| Hexadecimal (base 16) | 13B7F |
| Base 3 | 11002210101 |
| As time | 80767 seconds = 22 h 26 min 7 s |
Is 80767 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 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 5) | 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 80767 a prime number?
No. 80767 = 17 × 4751, so it is divisible by 17.
What are the factors of 80767?
1, 17, 4751, 80767.
What is 80767 in binary?
10011101101111111 (hexadecimal 13B7F, octal 235577).
What is the square root of 80767?
About 284.1954.
Is 80767 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 80767?
80767 is a semiprime: 17 × 4751, the product of two primes.