The number 80067
80067 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 2053. Divisors (8): 1, 3, 13, 39, 2053, 6159, 26689, 80067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80067 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80067 is composite. Its prime factorisation is
- 3
The divisors add up to 115024; without 80067 itself that is 34957, so 80067 is deficient (34957 is less than 80067). Euler's totient φ(80067) = 49248 numbers up to 80067 share no factor with it.
- 4
The digits of 80067 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80067 = 3 \times 13 \times 2053 \]
80067 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 115024 |
| Euler totient φ(n) | 49248 |
| Square | 6410724489 |
| Cube | 513287477660763 |
| Square root | 282.961128 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.0067 × |
80067 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and sixty-seven |
| Binary (base 2) | 10011100011000011 |
| Octal (base 8) | 234303 |
| Hexadecimal (base 16) | 138C3 |
| Base 3 | 11001211110 |
| As time | 80067 seconds = 22 h 14 min 27 s |
Is 80067 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 (80067 ÷ 3 = 26689) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 9) | 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 80067 a prime number?
No. 80067 = 3 × 13 × 2053, so it is divisible by 3.
What are the factors of 80067?
1, 3, 13, 39, 2053, 6159, 26689, 80067.
What is 80067 in binary?
10011100011000011 (hexadecimal 138C3, octal 234303).
What is the square root of 80067?
About 282.9611.
Is 80067 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 80067?
It is a composite number with 8 divisors.