The number 8790
8790 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 293. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 293, 586, 879, 1465, 1758, 2930, 4395, 8790.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8790 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8790 is composite. Its prime factorisation is
- 3
The divisors add up to 21168; without 8790 itself that is 12378, so 8790 is abundant (12378 is more than 8790). Euler's totient φ(8790) = 2336 numbers up to 8790 share no factor with it.
- 4
The digits of 8790 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8790 = 2 \times 3 \times 5 \times 293 \]
8790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21168 |
| Euler totient φ(n) | 2336 |
| Square | 77264100 |
| Cube | 679151439000 |
| Square root | 93.755000 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 127 |
| Scientific notation | 8.79 × |
8790 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and ninety |
| Binary (base 2) | 10001001010110 |
| Octal (base 8) | 21126 |
| Hexadecimal (base 16) | 2256 |
| Base 3 | 110001120 |
| As time | 8790 seconds = 2 h 26 min 30 s |
Is 8790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8790 ÷ 2 = 4395) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8790 ÷ 3 = 2930) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8790 ÷ 5 = 1758) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8790 ÷ 6 = 1465) | 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 6) | 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 | Yes (8790 ÷ 10 = 879) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8790 a prime number?
No. 8790 = 2 × 3 × 5 × 293, so it is divisible by 2.
What are the factors of 8790?
1, 2, 3, 5, 6, 10, 15, 30, 293, 586, 879, 1465, 1758, 2930, 4395, 8790.
What is 8790 in binary?
10001001010110 (hexadecimal 2256, octal 21126).
What is the square root of 8790?
About 93.7550.
Is 8790 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 8790?
It is a composite number with 16 divisors.