The number 78993
78993 is a composite number with 12 divisors. Its prime factorisation is × 67 × 131. Divisors (12): 1, 3, 9, 67, 131, 201, 393, 603, 1179, 8777, 26331, 78993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
78993 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
78993 is composite. Its prime factorisation is
- 3
The divisors add up to 116688; without 78993 itself that is 37695, so 78993 is deficient (37695 is less than 78993). Euler's totient φ(78993) = 51480 numbers up to 78993 share no factor with it.
- 4
The digits of 78993 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 78993 = 3^{2} \times 67 \times 131 \]78993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 116688 |
| Euler totient φ(n) | 51480 |
| Square | 6239894049 |
| Cube | 492907950612657 |
| Square root | 281.056934 (= 3√8777) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.8993 × |
78993 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand nine hundred and ninety-three |
| Binary (base 2) | 10011010010010001 |
| Octal (base 8) | 232221 |
| Hexadecimal (base 16) | 13491 |
| Base 3 | 11000100200 |
| As time | 78993 seconds = 21 h 56 min 33 s |
Is 78993 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 (78993 ÷ 3 = 26331) | 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 | Yes (78993 ÷ 9 = 8777) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 78993 a prime number?
No. 78993 = × 67 × 131, so it is divisible by 3.
What are the factors of 78993?
1, 3, 9, 67, 131, 201, 393, 603, 1179, 8777, 26331, 78993.
What is 78993 in binary?
10011010010010001 (hexadecimal 13491, octal 232221).
What is the square root of 78993?
About 281.0569, exactly 3√8777.
Is 78993 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 78993?
It is a composite number with 12 divisors.