The number 73625
73625 is a composite number with 16 divisors. Its prime factorisation is × 19 × 31. Divisors (16): 1, 5, 19, 25, 31, 95, 125, 155, 475, 589, 775, 2375, 2945, 3875, 14725, 73625.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73625 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73625 is composite. Its prime factorisation is
- 3
The divisors add up to 99840; without 73625 itself that is 26215, so 73625 is deficient (26215 is less than 73625). Euler's totient φ(73625) = 54000 numbers up to 73625 share no factor with it.
- 4
The digits of 73625 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73625 = 5^{3} \times 19 \times 31 \]73625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 99840 |
| Euler totient φ(n) | 54000 |
| Square | 5420640625 |
| Cube | 399094666015625 |
| Square root | 271.339271 (= 5√2945) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.3625 × |
73625 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand six hundred and twenty-five |
| Binary (base 2) | 10001111110011001 |
| Octal (base 8) | 217631 |
| Hexadecimal (base 16) | 11F99 |
| Base 3 | 10201222212 |
| As time | 73625 seconds = 20 h 27 min 5 s |
Is 73625 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 (73625 ÷ 5 = 14725) | 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 6) | 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 5) | 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 2) | 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 73625 a prime number?
No. 73625 = × 19 × 31, so it is divisible by 5.
What are the factors of 73625?
1, 5, 19, 25, 31, 95, 125, 155, 475, 589, 775, 2375, 2945, 3875, 14725, 73625.
What is 73625 in binary?
10001111110011001 (hexadecimal 11F99, octal 217631).
What is the square root of 73625?
About 271.3393, exactly 5√2945.
Is 73625 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 73625?
It is a composite number with 16 divisors.