The number 87993
87993 is a composite number with 8 divisors. Its prime factorisation is × 3259. Divisors (8): 1, 3, 9, 27, 3259, 9777, 29331, 87993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87993 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87993 is composite. Its prime factorisation is
- 3
The divisors add up to 130400; without 87993 itself that is 42407, so 87993 is deficient (42407 is less than 87993). Euler's totient φ(87993) = 58644 numbers up to 87993 share no factor with it.
- 4
The digits of 87993 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 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87993 = 3^{3} \times 3259 \]87993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 130400 |
| Euler totient φ(n) | 58644 |
| Square | 7742768049 |
| Cube | 681309388935657 |
| Square root | 296.636141 (= 3√9777) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7993 × |
87993 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand nine hundred and ninety-three |
| Binary (base 2) | 10101011110111001 |
| Octal (base 8) | 253671 |
| Hexadecimal (base 16) | 157B9 |
| Base 3 | 11110201000 |
| As time | 87993 seconds = 24 h 26 min 33 s |
Is 87993 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 (87993 ÷ 3 = 29331) | 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 3) | 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 (87993 ÷ 9 = 9777) | 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 4) | 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 87993 a prime number?
No. 87993 = × 3259, so it is divisible by 3.
What are the factors of 87993?
1, 3, 9, 27, 3259, 9777, 29331, 87993.
What is 87993 in binary?
10101011110111001 (hexadecimal 157B9, octal 253671).
What is the square root of 87993?
About 296.6361, exactly 3√9777.
Is 87993 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 87993?
It is a composite number with 8 divisors.