The number 8850
8850 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 59. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 150, 177, 295 … 8850.
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How to work it out
- 1
8850 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8850 is composite. Its prime factorisation is
- 3
The divisors add up to 22320; without 8850 itself that is 13470, so 8850 is abundant (13470 is more than 8850). Euler's totient φ(8850) = 2320 numbers up to 8850 share no factor with it.
- 4
The digits of 8850 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8850 = 2 \times 3 \times 5^{2} \times 59 \]8850 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 22320 |
| Euler totient φ(n) | 2320 |
| Square | 78322500 |
| Cube | 693154125000 |
| Square root | 94.074439 (= 5√354) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 8.85 × |
8850 in other forms
| Form | Value |
|---|---|
| In words | eight thousand eight hundred and fifty |
| Binary (base 2) | 10001010010010 |
| Octal (base 8) | 21222 |
| Hexadecimal (base 16) | 2292 |
| Base 3 | 110010210 |
| As time | 8850 seconds = 2 h 27 min 30 s |
Is 8850 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8850 ÷ 2 = 4425) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8850 ÷ 3 = 2950) | 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 (8850 ÷ 5 = 1770) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8850 ÷ 6 = 1475) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8850 ÷ 10 = 885) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 8850 a prime number?
No. 8850 = 2 × 3 × × 59, so it is divisible by 2.
What are the factors of 8850?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 150, 177, 295, 354, 590, 885, 1475, 1770, 2950, 4425, 8850.
What is 8850 in binary?
10001010010010 (hexadecimal 2292, octal 21222).
What is the square root of 8850?
About 94.0744, exactly 5√354.
Is 8850 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 8850?
It is a composite number with 24 divisors.