The number 59073
59073 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 29 × 97. Divisors (16): 1, 3, 7, 21, 29, 87, 97, 203, 291, 609, 679, 2037, 2813, 8439, 19691, 59073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59073 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59073 is composite. Its prime factorisation is
- 3
The divisors add up to 94080; without 59073 itself that is 35007, so 59073 is deficient (35007 is less than 59073). Euler's totient φ(59073) = 32256 numbers up to 59073 share no factor with it.
- 4
The digits of 59073 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59073 = 3 \times 7 \times 29 \times 97 \]
59073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 94080 |
| Euler totient φ(n) | 32256 |
| Square | 3489619329 |
| Cube | 206142282622017 |
| Square root | 243.049378 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9073 × |
59073 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand and seventy-three |
| Binary (base 2) | 1110011011000001 |
| Octal (base 8) | 163301 |
| Hexadecimal (base 16) | E6C1 |
| Base 3 | 10000000220 |
| As time | 59073 seconds = 16 h 24 min 33 s |
Is 59073 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 (59073 ÷ 3 = 19691) | 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 | Yes (59073 ÷ 7 = 8439) | 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 6) | 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 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 59073 a prime number?
No. 59073 = 3 × 7 × 29 × 97, so it is divisible by 3.
What are the factors of 59073?
1, 3, 7, 21, 29, 87, 97, 203, 291, 609, 679, 2037, 2813, 8439, 19691, 59073.
What is 59073 in binary?
1110011011000001 (hexadecimal E6C1, octal 163301).
What is the square root of 59073?
About 243.0494.
Is 59073 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 59073?
It is a composite number with 16 divisors.