The number 73725
73725 is a composite number with 12 divisors. Its prime factorisation is 3 × × 983. Divisors (12): 1, 3, 5, 15, 25, 75, 983, 2949, 4915, 14745, 24575, 73725.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73725 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73725 is composite. Its prime factorisation is
- 3
The divisors add up to 122016; without 73725 itself that is 48291, so 73725 is deficient (48291 is less than 73725). Euler's totient φ(73725) = 39280 numbers up to 73725 share no factor with it.
- 4
The digits of 73725 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73725 = 3 \times 5^{2} \times 983 \]73725 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 122016 |
| Euler totient φ(n) | 39280 |
| Square | 5435375625 |
| Cube | 400723067953125 |
| Square root | 271.523480 (= 5√2949) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3725 × |
73725 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and twenty-five |
| Binary (base 2) | 10001111111111101 |
| Octal (base 8) | 217775 |
| Hexadecimal (base 16) | 11FFD |
| Base 3 | 10202010120 |
| As time | 73725 seconds = 20 h 28 min 45 s |
Is 73725 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 | Yes (73725 ÷ 3 = 24575) | 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 (73725 ÷ 5 = 14745) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73725 a prime number?
No. 73725 = 3 × × 983, so it is divisible by 3.
What are the factors of 73725?
1, 3, 5, 15, 25, 75, 983, 2949, 4915, 14745, 24575, 73725.
What is 73725 in binary?
10001111111111101 (hexadecimal 11FFD, octal 217775).
What is the square root of 73725?
About 271.5235, exactly 5√2949.
Is 73725 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 73725?
It is a composite number with 12 divisors.