The number 73025
73025 is a composite number with 12 divisors. Its prime factorisation is × 23 × 127. Divisors (12): 1, 5, 23, 25, 115, 127, 575, 635, 2921, 3175, 14605, 73025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73025 is composite. Its prime factorisation is
- 3
The divisors add up to 95232; without 73025 itself that is 22207, so 73025 is deficient (22207 is less than 73025). Euler's totient φ(73025) = 55440 numbers up to 73025 share no factor with it.
- 4
The digits of 73025 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
\[ 73025 = 5^{2} \times 23 \times 127 \]73025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 95232 |
| Euler totient φ(n) | 55440 |
| Square | 5332650625 |
| Cube | 389416811890625 |
| Square root | 270.231382 (= 5√2921) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3025 × |
73025 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and twenty-five |
| Binary (base 2) | 10001110101000001 |
| Octal (base 8) | 216501 |
| Hexadecimal (base 16) | 11D41 |
| Base 3 | 10201011122 |
| As time | 73025 seconds = 20 h 17 min 5 s |
Is 73025 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 2) | 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 | Yes (73025 ÷ 5 = 14605) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73025 a prime number?
No. 73025 = × 23 × 127, so it is divisible by 5.
What are the factors of 73025?
1, 5, 23, 25, 115, 127, 575, 635, 2921, 3175, 14605, 73025.
What is 73025 in binary?
10001110101000001 (hexadecimal 11D41, octal 216501).
What is the square root of 73025?
About 270.2314, exactly 5√2921.
Is 73025 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 73025?
It is a composite number with 12 divisors.