The number 89001
89001 is a composite number with 24 divisors. Its prime factorisation is × 11 × 29 × 31. Divisors (24): 1, 3, 9, 11, 29, 31, 33, 87, 93, 99, 261, 279, 319, 341, 899, 957 … 89001.
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How to work it out
- 1
89001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
89001 is composite. Its prime factorisation is
- 3
The divisors add up to 149760; without 89001 itself that is 60759, so 89001 is deficient (60759 is less than 89001). Euler's totient φ(89001) = 50400 numbers up to 89001 share no factor with it.
- 4
The digits of 89001 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89001 = 3^{2} \times 11 \times 29 \times 31 \]89001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 149760 |
| Euler totient φ(n) | 50400 |
| Square | 7921178001 |
| Cube | 704992763267001 |
| Square root | 298.330354 (= 3√9889) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 102 |
| Scientific notation | 8.9001 × |
89001 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand and one |
| Binary (base 2) | 10101101110101001 |
| Octal (base 8) | 255651 |
| Hexadecimal (base 16) | 15BA9 |
| Base 3 | 11112002100 |
| As time | 89001 seconds = 24 h 43 min 21 s |
Is 89001 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 | Yes (89001 ÷ 3 = 29667) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (89001 ÷ 9 = 9889) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (89001 ÷ 11 = 8091) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 89001 a prime number?
No. 89001 = × 11 × 29 × 31, so it is divisible by 3.
What are the factors of 89001?
1, 3, 9, 11, 29, 31, 33, 87, 93, 99, 261, 279, 319, 341, 899, 957, 1023, 2697, 2871, 3069, 8091, 9889, 29667, 89001.
What is 89001 in binary?
10101101110101001 (hexadecimal 15BA9, octal 255651).
What is the square root of 89001?
About 298.3304, exactly 3√9889.
Is 89001 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 89001?
It is a composite number with 24 divisors.