The number 73359
73359 is a composite number with 32 divisors. Its prime factorisation is × 11 × 13 × 19. Divisors (32): 1, 3, 9, 11, 13, 19, 27, 33, 39, 57, 99, 117, 143, 171, 209, 247 … 73359.
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How to work it out
- 1
What is special about 73359: a Harshad number: divisible by its digit sum 27.
- 2
73359 is composite. Its prime factorisation is
- 3
The divisors add up to 134400; without 73359 itself that is 61041, so 73359 is deficient (61041 is less than 73359). Euler's totient φ(73359) = 38880 numbers up to 73359 share no factor with it.
- 4
The digits of 73359 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 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73359 = 3^{3} \times 11 \times 13 \times 19 \]73359 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 134400 |
| Euler totient φ(n) | 38880 |
| Square | 5381542881 |
| Cube | 394784604207279 |
| Square root | 270.848666 (= 3√8151) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.3359 × |
73359 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand three hundred and fifty-nine |
| Binary (base 2) | 10001111010001111 |
| Octal (base 8) | 217217 |
| Hexadecimal (base 16) | 11E8F |
| Base 3 | 10201122000 |
| As time | 73359 seconds = 20 h 22 min 39 s |
Is 73359 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 (73359 ÷ 3 = 24453) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73359 ÷ 9 = 8151) | 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 | Yes (73359 ÷ 11 = 6669) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73359 a prime number?
No. 73359 = × 11 × 13 × 19, so it is divisible by 3.
What are the factors of 73359?
1, 3, 9, 11, 13, 19, 27, 33, 39, 57, 99, 117, 143, 171, 209, 247, 297, 351, 429, 513, 627, 741, 1287, 1881, 2223, 2717, 3861, 5643, 6669, 8151, 24453, 73359.
What is 73359 in binary?
10001111010001111 (hexadecimal 11E8F, octal 217217).
What is the square root of 73359?
About 270.8487, exactly 3√8151.
Is 73359 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 73359?
73359 is a Harshad number: divisible by its digit sum 27.