The number 60093
60093 is a composite number with 12 divisors. Its prime factorisation is × 11 × 607. Divisors (12): 1, 3, 9, 11, 33, 99, 607, 1821, 5463, 6677, 20031, 60093.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60093 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60093 is composite. Its prime factorisation is
- 3
The divisors add up to 94848; without 60093 itself that is 34755, so 60093 is deficient (34755 is less than 60093). Euler's totient φ(60093) = 36360 numbers up to 60093 share no factor with it.
- 4
The digits of 60093 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60093 = 3^{2} \times 11 \times 607 \]60093 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 94848 |
| Euler totient φ(n) | 36360 |
| Square | 3611168649 |
| Cube | 217005957624357 |
| Square root | 245.138736 (= 3√6677) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 6.0093 × |
60093 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and ninety-three |
| Binary (base 2) | 1110101010111101 |
| Octal (base 8) | 165275 |
| Hexadecimal (base 16) | EABD |
| Base 3 | 10001102200 |
| As time | 60093 seconds = 16 h 41 min 33 s |
Is 60093 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 (60093 ÷ 3 = 20031) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (60093 ÷ 9 = 6677) | 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 | Yes (60093 ÷ 11 = 5463) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60093 a prime number?
No. 60093 = × 11 × 607, so it is divisible by 3.
What are the factors of 60093?
1, 3, 9, 11, 33, 99, 607, 1821, 5463, 6677, 20031, 60093.
What is 60093 in binary?
1110101010111101 (hexadecimal EABD, octal 165275).
What is the square root of 60093?
About 245.1387, exactly 3√6677.
Is 60093 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 60093?
It is a composite number with 12 divisors.