The number 8900
8900 is a composite number with 18 divisors. Its prime factorisation is × × 89. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225 … 8900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8900 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8900 is composite. Its prime factorisation is
- 3
The divisors add up to 19530; without 8900 itself that is 10630, so 8900 is abundant (10630 is more than 8900). Euler's totient φ(8900) = 3520 numbers up to 8900 share no factor with it.
- 4
The digits of 8900 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8900 = 2^{2} \times 5^{2} \times 89 \]8900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 19530 |
| Euler totient φ(n) | 3520 |
| Square | 79210000 |
| Cube | 704969000000 |
| Square root | 94.339811 (= 10√89) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.9 × |
8900 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred |
| Binary (base 2) | 10001011000100 |
| Octal (base 8) | 21304 |
| Hexadecimal (base 16) | 22C4 |
| Base 3 | 110012122 |
| As time | 8900 seconds = 2 h 28 min 20 s |
Is 8900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8900 ÷ 2 = 4450) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8900 ÷ 4 = 2225) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8900 ÷ 5 = 1780) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8900 ÷ 10 = 890) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8900 a prime number?
No. 8900 = × × 89, so it is divisible by 2.
What are the factors of 8900?
1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450, 8900.
What is 8900 in binary?
10001011000100 (hexadecimal 22C4, octal 21304).
What is the square root of 8900?
About 94.3398, exactly 10√89.
Is 8900 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 8900?
It is a composite number with 18 divisors.