The number 80667
80667 is a composite number with 6 divisors. Its prime factorisation is × 8963. Divisors (6): 1, 3, 9, 8963, 26889, 80667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80667 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80667 is composite. Its prime factorisation is
- 3
The divisors add up to 116532; without 80667 itself that is 35865, so 80667 is deficient (35865 is less than 80667). Euler's totient φ(80667) = 53772 numbers up to 80667 share no factor with it.
- 4
The digits of 80667 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80667 = 3^{2} \times 8963 \]80667 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 116532 |
| Euler totient φ(n) | 53772 |
| Square | 6507164889 |
| Cube | 524913470100963 |
| Square root | 284.019366 (= 3√8963) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.0667 × |
80667 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand six hundred and sixty-seven |
| Binary (base 2) | 10011101100011011 |
| Octal (base 8) | 235433 |
| Hexadecimal (base 16) | 13B1B |
| Base 3 | 11002122200 |
| As time | 80667 seconds = 22 h 24 min 27 s |
Is 80667 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 | Yes (80667 ÷ 3 = 26889) | 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80667 ÷ 9 = 8963) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80667 a prime number?
No. 80667 = × 8963, so it is divisible by 3.
What are the factors of 80667?
1, 3, 9, 8963, 26889, 80667.
What is 80667 in binary?
10011101100011011 (hexadecimal 13B1B, octal 235433).
What is the square root of 80667?
About 284.0194, exactly 3√8963.
Is 80667 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 80667?
It is a composite number with 6 divisors.