The number 89033
89033 is a composite number with 12 divisors. Its prime factorisation is × 23 × 79. Divisors (12): 1, 7, 23, 49, 79, 161, 553, 1127, 1817, 3871, 12719, 89033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 89033: a Harshad number: divisible by its digit sum 23.
- 2
89033 is composite. Its prime factorisation is
- 3
The divisors add up to 109440; without 89033 itself that is 20407, so 89033 is deficient (20407 is less than 89033). Euler's totient φ(89033) = 72072 numbers up to 89033 share no factor with it.
- 4
The digits of 89033 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89033 = 7^{2} \times 23 \times 79 \]89033 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 109440 |
| Euler totient φ(n) | 72072 |
| Square | 7926875089 |
| Cube | 705753469798937 |
| Square root | 298.383981 (= 7√1817) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.9033 × |
89033 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand and thirty-three |
| Binary (base 2) | 10101101111001001 |
| Octal (base 8) | 255711 |
| Hexadecimal (base 16) | 15BC9 |
| Base 3 | 11112010112 |
| As time | 89033 seconds = 24 h 43 min 53 s |
Is 89033 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 2) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (89033 ÷ 7 = 12719) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 89033 a prime number?
No. 89033 = × 23 × 79, so it is divisible by 7.
What are the factors of 89033?
1, 7, 23, 49, 79, 161, 553, 1127, 1817, 3871, 12719, 89033.
What is 89033 in binary?
10101101111001001 (hexadecimal 15BC9, octal 255711).
What is the square root of 89033?
About 298.3840, exactly 7√1817.
Is 89033 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 89033?
89033 is a Harshad number: divisible by its digit sum 23.