The number 73250
73250 is a composite number with 16 divisors. Its prime factorisation is 2 × × 293. Divisors (16): 1, 2, 5, 10, 25, 50, 125, 250, 293, 586, 1465, 2930, 7325, 14650, 36625, 73250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73250 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73250 is composite. Its prime factorisation is
- 3
The divisors add up to 137592; without 73250 itself that is 64342, so 73250 is deficient (64342 is less than 73250). Euler's totient φ(73250) = 29200 numbers up to 73250 share no factor with it.
- 4
The digits of 73250 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73250 = 2 \times 5^{3} \times 293 \]73250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 137592 |
| Euler totient φ(n) | 29200 |
| Square | 5365562500 |
| Cube | 393027453125000 |
| Square root | 270.647372 (= 5√2930) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.325 × |
73250 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand two hundred and fifty |
| Binary (base 2) | 10001111000100010 |
| Octal (base 8) | 217042 |
| Hexadecimal (base 16) | 11E22 |
| Base 3 | 10201110222 |
| As time | 73250 seconds = 20 h 20 min 50 s |
Is 73250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73250 ÷ 2 = 36625) | 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 (73250 ÷ 5 = 14650) | 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 2) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73250 ÷ 10 = 7325) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 73250 a prime number?
No. 73250 = 2 × × 293, so it is divisible by 2.
What are the factors of 73250?
1, 2, 5, 10, 25, 50, 125, 250, 293, 586, 1465, 2930, 7325, 14650, 36625, 73250.
What is 73250 in binary?
10001111000100010 (hexadecimal 11E22, octal 217042).
What is the square root of 73250?
About 270.6474, exactly 5√2930.
Is 73250 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 73250?
It is a composite number with 16 divisors.