The number 73525
73525 is a composite number with 12 divisors. Its prime factorisation is × 17 × 173. Divisors (12): 1, 5, 17, 25, 85, 173, 425, 865, 2941, 4325, 14705, 73525.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73525 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73525 is composite. Its prime factorisation is
- 3
The divisors add up to 97092; without 73525 itself that is 23567, so 73525 is deficient (23567 is less than 73525). Euler's totient φ(73525) = 55040 numbers up to 73525 share no factor with it.
- 4
The digits of 73525 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73525 = 5^{2} \times 17 \times 173 \]73525 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 97092 |
| Euler totient φ(n) | 55040 |
| Square | 5405925625 |
| Cube | 397470681578125 |
| Square root | 271.154937 (= 5√2941) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3525 × |
73525 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand five hundred and twenty-five |
| Binary (base 2) | 10001111100110101 |
| Octal (base 8) | 217465 |
| Hexadecimal (base 16) | 11F35 |
| Base 3 | 10201212011 |
| As time | 73525 seconds = 20 h 25 min 25 s |
Is 73525 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 | Yes (73525 ÷ 5 = 14705) | 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 4) | 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 5) | 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 5) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73525 a prime number?
No. 73525 = × 17 × 173, so it is divisible by 5.
What are the factors of 73525?
1, 5, 17, 25, 85, 173, 425, 865, 2941, 4325, 14705, 73525.
What is 73525 in binary?
10001111100110101 (hexadecimal 11F35, octal 217465).
What is the square root of 73525?
About 271.1549, exactly 5√2941.
Is 73525 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 73525?
It is a composite number with 12 divisors.