The number 73989
73989 is a composite number with 6 divisors. Its prime factorisation is × 8221. Divisors (6): 1, 3, 9, 8221, 24663, 73989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73989 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73989 is composite. Its prime factorisation is
- 3
The divisors add up to 106886; without 73989 itself that is 32897, so 73989 is deficient (32897 is less than 73989). Euler's totient φ(73989) = 49320 numbers up to 73989 share no factor with it.
- 4
The digits of 73989 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73989 = 3^{2} \times 8221 \]73989 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 106886 |
| Euler totient φ(n) | 49320 |
| Square | 5474372121 |
| Cube | 405043318860669 |
| Square root | 272.009191 (= 3√8221) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.3989 × |
73989 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and eighty-nine |
| Binary (base 2) | 10010000100000101 |
| Octal (base 8) | 220405 |
| Hexadecimal (base 16) | 12105 |
| Base 3 | 10202111100 |
| As time | 73989 seconds = 20 h 33 min 9 s |
Is 73989 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 (73989 ÷ 3 = 24663) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73989 ÷ 9 = 8221) | 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 | No (remainder 3) | 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 73989 a prime number?
No. 73989 = × 8221, so it is divisible by 3.
What are the factors of 73989?
1, 3, 9, 8221, 24663, 73989.
What is 73989 in binary?
10010000100000101 (hexadecimal 12105, octal 220405).
What is the square root of 73989?
About 272.0092, exactly 3√8221.
Is 73989 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 73989?
It is a composite number with 6 divisors.