The number 89089
89089 is a composite number with 16 divisors. Its prime factorisation is 7 × 11 × 13 × 89. Divisors (16): 1, 7, 11, 13, 77, 89, 91, 143, 623, 979, 1001, 1157, 6853, 8099, 12727, 89089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
89089 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
89089 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 89089 itself that is 31871, so 89089 is deficient (31871 is less than 89089). Euler's totient φ(89089) = 63360 numbers up to 89089 share no factor with it.
- 4
The digits of 89089 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89089 = 7 \times 11 \times 13 \times 89 \]
89089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 63360 |
| Square | 7936849921 |
| Cube | 707086022611969 |
| Square root | 298.477805 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.9089 × |
89089 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand and eighty-nine |
| Binary (base 2) | 10101110000000001 |
| Octal (base 8) | 256001 |
| Hexadecimal (base 16) | 15C01 |
| Base 3 | 11112012121 |
| As time | 89089 seconds = 24 h 44 min 49 s |
Is 89089 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (89089 ÷ 7 = 12727) | 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 1) | 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 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (89089 ÷ 11 = 8099) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 89089 a prime number?
No. 89089 = 7 × 11 × 13 × 89, so it is divisible by 7.
What are the factors of 89089?
1, 7, 11, 13, 77, 89, 91, 143, 623, 979, 1001, 1157, 6853, 8099, 12727, 89089.
What is 89089 in binary?
10101110000000001 (hexadecimal 15C01, octal 256001).
What is the square root of 89089?
About 298.4778.
Is 89089 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 89089?
It is a composite number with 16 divisors.