The number 73730
73730 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 73 × 101. Divisors (16): 1, 2, 5, 10, 73, 101, 146, 202, 365, 505, 730, 1010, 7373, 14746, 36865, 73730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73730 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73730 is composite. Its prime factorisation is
- 3
The divisors add up to 135864; without 73730 itself that is 62134, so 73730 is deficient (62134 is less than 73730). Euler's totient φ(73730) = 28800 numbers up to 73730 share no factor with it.
- 4
The digits of 73730 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73730 = 2 \times 5 \times 73 \times 101 \]
73730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 135864 |
| Euler totient φ(n) | 28800 |
| Square | 5436112900 |
| Cube | 400804604117000 |
| Square root | 271.532687 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.373 × |
73730 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and thirty |
| Binary (base 2) | 10010000000000010 |
| Octal (base 8) | 220002 |
| Hexadecimal (base 16) | 12002 |
| Base 3 | 10202010202 |
| As time | 73730 seconds = 20 h 28 min 50 s |
Is 73730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73730 ÷ 2 = 36865) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73730 ÷ 5 = 14746) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73730 ÷ 10 = 7373) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73730 a prime number?
No. 73730 = 2 × 5 × 73 × 101, so it is divisible by 2.
What are the factors of 73730?
1, 2, 5, 10, 73, 101, 146, 202, 365, 505, 730, 1010, 7373, 14746, 36865, 73730.
What is 73730 in binary?
10010000000000010 (hexadecimal 12002, octal 220002).
What is the square root of 73730?
About 271.5327.
Is 73730 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 73730?
It is a composite number with 16 divisors.