The number 80093
80093 is a composite number with 8 divisors. Its prime factorisation is 13 × 61 × 101. Divisors (8): 1, 13, 61, 101, 793, 1313, 6161, 80093.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80093 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80093 is composite. Its prime factorisation is
- 3
The divisors add up to 88536; without 80093 itself that is 8443, so 80093 is deficient (8443 is less than 80093). Euler's totient φ(80093) = 72000 numbers up to 80093 share no factor with it.
- 4
The digits of 80093 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 213 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80093 = 13 \times 61 \times 101 \]
80093 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 88536 |
| Euler totient φ(n) | 72000 |
| Square | 6414888649 |
| Cube | 513787676564357 |
| Square root | 283.007067 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 213 |
| Scientific notation | 8.0093 × |
80093 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and ninety-three |
| Binary (base 2) | 10011100011011101 |
| Octal (base 8) | 234335 |
| Hexadecimal (base 16) | 138DD |
| Base 3 | 11001212102 |
| As time | 80093 seconds = 22 h 14 min 53 s |
Is 80093 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 3) | 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 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 80093 a prime number?
No. 80093 = 13 × 61 × 101, so it is divisible by 13.
What are the factors of 80093?
1, 13, 61, 101, 793, 1313, 6161, 80093.
What is 80093 in binary?
10011100011011101 (hexadecimal 138DD, octal 234335).
What is the square root of 80093?
About 283.0071.
Is 80093 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 80093?
It is a composite number with 8 divisors.