The number 89024
89024 is a composite number with 28 divisors. Its prime factorisation is × 13 × 107. Divisors (28): 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 107, 208, 214, 416, 428 … 89024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
89024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
89024 is composite. Its prime factorisation is
- 3
The divisors add up to 192024; without 89024 itself that is 103000, so 89024 is abundant (103000 is more than 89024). Euler's totient φ(89024) = 40704 numbers up to 89024 share no factor with it.
- 4
The digits of 89024 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89024 = 2^{6} \times 13 \times 107 \]89024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 192024 |
| Euler totient φ(n) | 40704 |
| Square | 7925272576 |
| Cube | 705539465805824 |
| Square root | 298.368899 (= 8√1391) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.9024 × |
89024 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand and twenty-four |
| Binary (base 2) | 10101101111000000 |
| Octal (base 8) | 255700 |
| Hexadecimal (base 16) | 15BC0 |
| Base 3 | 11112010012 |
| As time | 89024 seconds = 24 h 43 min 44 s |
Is 89024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (89024 ÷ 2 = 44512) | 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 (89024 ÷ 4 = 22256) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (89024 ÷ 8 = 11128) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 89024 a prime number?
No. 89024 = × 13 × 107, so it is divisible by 2.
What are the factors of 89024?
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 107, 208, 214, 416, 428, 832, 856, 1391, 1712, 2782, 3424, 5564, 6848, 11128, 22256, 44512, 89024.
What is 89024 in binary?
10101101111000000 (hexadecimal 15BC0, octal 255700).
What is the square root of 89024?
About 298.3689, exactly 8√1391.
Is 89024 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 89024?
It is a composite number with 28 divisors.