The number 89073
89073 is a composite number with 8 divisors. Its prime factorisation is × 3299. Divisors (8): 1, 3, 9, 27, 3299, 9897, 29691, 89073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 89073: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
89073 is composite. Its prime factorisation is
- 3
The divisors add up to 132000; without 89073 itself that is 42927, so 89073 is deficient (42927 is less than 89073). Euler's totient φ(89073) = 59364 numbers up to 89073 share no factor with it.
- 4
The digits of 89073 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89073 = 3^{3} \times 3299 \]89073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 132000 |
| Euler totient φ(n) | 59364 |
| Square | 7933999329 |
| Cube | 706705122232017 |
| Square root | 298.451001 (= 3√9897) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.9073 × |
89073 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand and seventy-three |
| Binary (base 2) | 10101101111110001 |
| Octal (base 8) | 255761 |
| Hexadecimal (base 16) | 15BF1 |
| Base 3 | 11112012000 |
| As time | 89073 seconds = 24 h 44 min 33 s |
Is 89073 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 (89073 ÷ 3 = 29691) | 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 3) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (89073 ÷ 9 = 9897) | 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 6) | 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 89073 a prime number?
No. 89073 = × 3299, so it is divisible by 3.
What are the factors of 89073?
1, 3, 9, 27, 3299, 9897, 29691, 89073.
What is 89073 in binary?
10101101111110001 (hexadecimal 15BF1, octal 255761).
What is the square root of 89073?
About 298.4510, exactly 3√9897.
Is 89073 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 89073?
89073 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.