The number 73125
73125 is a composite number with 30 divisors. Its prime factorisation is × × 13. Divisors (30): 1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 125, 195, 225, 325 … 73125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73125 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73125 is composite. Its prime factorisation is
- 3
The divisors add up to 142142; without 73125 itself that is 69017, so 73125 is deficient (69017 is less than 73125). Euler's totient φ(73125) = 36000 numbers up to 73125 share no factor with it.
- 4
The digits of 73125 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73125 = 3^{2} \times 5^{4} \times 13 \]73125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 142142 |
| Euler totient φ(n) | 36000 |
| Square | 5347265625 |
| Cube | 391018798828125 |
| Square root | 270.416346 (= 75√13) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3125 × |
73125 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and twenty-five |
| Binary (base 2) | 10001110110100101 |
| Octal (base 8) | 216645 |
| Hexadecimal (base 16) | 11DA5 |
| Base 3 | 10201022100 |
| As time | 73125 seconds = 20 h 18 min 45 s |
Is 73125 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 (73125 ÷ 3 = 24375) | 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 (73125 ÷ 5 = 14625) | 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 3) | 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 | Yes (73125 ÷ 9 = 8125) | 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 8) | 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 73125 a prime number?
No. 73125 = × × 13, so it is divisible by 3.
What are the factors of 73125?
1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 125, 195, 225, 325, 375, 585, 625, 975, 1125, 1625, 1875, 2925, 4875, 5625, 8125, 14625, 24375, 73125.
What is 73125 in binary?
10001110110100101 (hexadecimal 11DA5, octal 216645).
What is the square root of 73125?
About 270.4163, exactly 75√13.
Is 73125 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 73125?
It is a composite number with 30 divisors.