The number 93993
93993 is a composite number with 16 divisors. Its prime factorisation is 3 × 17 × 19 × 97. Divisors (16): 1, 3, 17, 19, 51, 57, 97, 291, 323, 969, 1649, 1843, 4947, 5529, 31331, 93993.
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How to work it out
- 1
93993 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
93993 is composite. Its prime factorisation is
- 3
The divisors add up to 141120; without 93993 itself that is 47127, so 93993 is deficient (47127 is less than 93993). Euler's totient φ(93993) = 55296 numbers up to 93993 share no factor with it.
- 4
The digits of 93993 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 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 93993 = 3 \times 17 \times 19 \times 97 \]
93993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 141120 |
| Euler totient φ(n) | 55296 |
| Square | 8834684049 |
| Cube | 830398457817657 |
| Square root | 306.582778 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 84 |
| Scientific notation | 9.3993 × |
93993 in other forms
| Form | Value |
|---|---|
| In words | ninety-three thousand nine hundred and ninety-three |
| Binary (base 2) | 10110111100101001 |
| Octal (base 8) | 267451 |
| Hexadecimal (base 16) | 16F29 |
| Base 3 | 11202221020 |
| As time | 93993 seconds = 26 h 6 min 33 s |
Is 93993 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 (93993 ÷ 3 = 31331) | 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 4) | 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 9) | 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 93993 a prime number?
No. 93993 = 3 × 17 × 19 × 97, so it is divisible by 3.
What are the factors of 93993?
1, 3, 17, 19, 51, 57, 97, 291, 323, 969, 1649, 1843, 4947, 5529, 31331, 93993.
What is 93993 in binary?
10110111100101001 (hexadecimal 16F29, octal 267451).
What is the square root of 93993?
About 306.5828.
Is 93993 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 93993?
It is a composite number with 16 divisors.