The number 57993
57993 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 1487. Divisors (8): 1, 3, 13, 39, 1487, 4461, 19331, 57993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57993 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57993 is composite. Its prime factorisation is
- 3
The divisors add up to 83328; without 57993 itself that is 25335, so 57993 is deficient (25335 is less than 57993). Euler's totient φ(57993) = 35664 numbers up to 57993 share no factor with it.
- 4
The digits of 57993 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57993 = 3 \times 13 \times 1487 \]
57993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 83328 |
| Euler totient φ(n) | 35664 |
| Square | 3363188049 |
| Cube | 195041364525657 |
| Square root | 240.817358 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 179 |
| Scientific notation | 5.7993 × |
57993 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand nine hundred and ninety-three |
| Binary (base 2) | 1110001010001001 |
| Octal (base 8) | 161211 |
| Hexadecimal (base 16) | E289 |
| Base 3 | 2221112220 |
| As time | 57993 seconds = 16 h 6 min 33 s |
Is 57993 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 (57993 ÷ 3 = 19331) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | 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 57993 a prime number?
No. 57993 = 3 × 13 × 1487, so it is divisible by 3.
What are the factors of 57993?
1, 3, 13, 39, 1487, 4461, 19331, 57993.
What is 57993 in binary?
1110001010001001 (hexadecimal E289, octal 161211).
What is the square root of 57993?
About 240.8174.
Is 57993 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 57993?
It is a composite number with 8 divisors.