The number 89000
89000 is a composite number with 32 divisors. Its prime factorisation is × × 89. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 89, 100, 125, 178, 200, 250 … 89000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
89000 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
89000 is composite. Its prime factorisation is
- 3
The divisors add up to 210600; without 89000 itself that is 121600, so 89000 is abundant (121600 is more than 89000). Euler's totient φ(89000) = 35200 numbers up to 89000 share no factor with it.
- 4
The digits of 89000 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89000 = 2^{3} \times 5^{3} \times 89 \]89000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 210600 |
| Euler totient φ(n) | 35200 |
| Square | 7921000000 |
| Cube | 704969000000000 |
| Square root | 298.328678 (= 10√890) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.9 × |
89000 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand |
| Binary (base 2) | 10101101110101000 |
| Octal (base 8) | 255650 |
| Hexadecimal (base 16) | 15BA8 |
| Base 3 | 11112002022 |
| As time | 89000 seconds = 24 h 43 min 20 s |
Is 89000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (89000 ÷ 2 = 44500) | 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 (89000 ÷ 4 = 22250) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (89000 ÷ 5 = 17800) | 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 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 | Yes (89000 ÷ 8 = 11125) | 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 (89000 ÷ 10 = 8900) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 89000 a prime number?
No. 89000 = × × 89, so it is divisible by 2.
What are the factors of 89000?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 89, 100, 125, 178, 200, 250, 356, 445, 500, 712, 890, 1000, 1780, 2225, 3560, 4450, 8900, 11125, 17800, 22250, 44500, 89000.
What is 89000 in binary?
10101101110101000 (hexadecimal 15BA8, octal 255650).
What is the square root of 89000?
About 298.3287, exactly 10√890.
Is 89000 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 89000?
It is a composite number with 32 divisors.