The number 30073
30073 is a composite number with 8 divisors. Its prime factorisation is 17 × 29 × 61. Divisors (8): 1, 17, 29, 61, 493, 1037, 1769, 30073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
30073 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30073 is composite. Its prime factorisation is
- 3
The divisors add up to 33480; without 30073 itself that is 3407, so 30073 is deficient (3407 is less than 30073). Euler's totient φ(30073) = 26880 numbers up to 30073 share no factor with it.
- 4
The digits of 30073 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30073 = 17 \times 29 \times 61 \]
30073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 33480 |
| Euler totient φ(n) | 26880 |
| Square | 904385329 |
| Cube | 27197579999017 |
| Square root | 173.415686 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.0073 × |
30073 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand and seventy-three |
| Binary (base 2) | 111010101111001 |
| Octal (base 8) | 72571 |
| Hexadecimal (base 16) | 7579 |
| Base 3 | 1112020211 |
| As time | 30073 seconds = 8 h 21 min 13 s |
Is 30073 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30073 a prime number?
No. 30073 = 17 × 29 × 61, so it is divisible by 17.
What are the factors of 30073?
1, 17, 29, 61, 493, 1037, 1769, 30073.
What is 30073 in binary?
111010101111001 (hexadecimal 7579, octal 72571).
What is the square root of 30073?
About 173.4157.
Is 30073 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 30073?
It is a composite number with 8 divisors.