The number 8890
8890 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 127. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 127, 254, 635, 889, 1270, 1778, 4445, 8890.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8890 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8890 is composite. Its prime factorisation is
- 3
The divisors add up to 18432; without 8890 itself that is 9542, so 8890 is abundant (9542 is more than 8890). Euler's totient φ(8890) = 3024 numbers up to 8890 share no factor with it.
- 4
The digits of 8890 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8890 = 2 \times 5 \times 7 \times 127 \]
8890 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18432 |
| Euler totient φ(n) | 3024 |
| Square | 79032100 |
| Cube | 702595369000 |
| Square root | 94.286797 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 34 |
| Scientific notation | 8.89 × |
8890 in other forms
| Form | Value |
|---|---|
| In words | eight thousand eight hundred and ninety |
| Binary (base 2) | 10001010111010 |
| Octal (base 8) | 21272 |
| Hexadecimal (base 16) | 22BA |
| Base 3 | 110012021 |
| As time | 8890 seconds = 2 h 28 min 10 s |
Is 8890 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8890 ÷ 2 = 4445) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 (8890 ÷ 5 = 1778) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8890 ÷ 7 = 1270) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8890 ÷ 10 = 889) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8890 a prime number?
No. 8890 = 2 × 5 × 7 × 127, so it is divisible by 2.
What are the factors of 8890?
1, 2, 5, 7, 10, 14, 35, 70, 127, 254, 635, 889, 1270, 1778, 4445, 8890.
What is 8890 in binary?
10001010111010 (hexadecimal 22BA, octal 21272).
What is the square root of 8890?
About 94.2868.
Is 8890 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 8890?
It is a composite number with 16 divisors.